From b0546b1fcc992af1aef39c63eb11a318e9237d2d Mon Sep 17 00:00:00 2001 From: fc_botelho Date: Fri, 11 Aug 2006 16:04:55 +0000 Subject: [PATCH] *** empty log message *** --- vldb/ingles/algorithms.tex | 596 ------- vldb/ingles/applications.tex | 2 - vldb/ingles/conclusions.tex | 5 - vldb/ingles/experimentalresults.tex | 178 --- vldb/ingles/figs/brz.fig | 135 -- vldb/ingles/figs/brz.ps | 324 ---- vldb/ingles/figs/grafordering.fig | 206 --- vldb/ingles/figs/grafordering2.fig | 219 --- vldb/ingles/figs/grafordering3.fig | 130 -- vldb/ingles/figs/grafsearching.fig | 168 -- vldb/ingles/figs/grafsearching2.fig | 180 --- vldb/ingles/figs/grafsearchingncv.fig | 124 -- .../ingles/figs/minimalperfecthash-ph-mph.fig | 176 -- vldb/ingles/figs/minimalperfecthash-ph-mph.ps | 488 ------ vldb/ingles/introduction.tex | 86 - vldb/ingles/makefile | 17 - vldb/ingles/references.bib | 687 -------- vldb/ingles/relatedwork.tex | 67 - vldb/ingles/svglov2.clo | 77 - vldb/ingles/svjour2.cls | 1419 ----------------- vldb/ingles/vldb.tex | 150 -- vldb/pt/algorithms.tex | 19 - 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-\subsection{A Main Memory Based Algorithm} - -\subsection{An External Memory Based Algorithm} -The idea of behind the new algorithm is the traditional divide-to-conquer approach. -The new algorithm consists of two steps that are presented in Fig.~\ref{fig:new-algo-main-steps}: -\begin{enumerate} -\item Using an universal hashing function~\cite{ss89} $h_1: S \to B$ the keys from $S$ are segmented to -a bucket set B, where $|B| = b$. We choice parameter $b$ in such way that any bucket will -contain more than 256 keys. -This choice is crucial to make the new algorithm works and we give details about it hereinafter. -\item The keys in each bucket are separetaly spread into a hash table. -\end{enumerate} -% For two-column wide figures use -\begin{figure} -% Use the relevant command to insert your figure file. -% For example, with the graphicx package use -\centering - \includegraphics{figs/brz.ps} -% figure caption is below the figure -\caption{Main steps of the new algorithm.} -\label{fig:new-algo-main-steps} -\end{figure} - -The main novelties are in the way the keys are segmented using external memory and spread using -minimal perfect hash functions for each bucket. The next two sections describe each step in details. -\subsubsection{Segmentation} -\subsubsection{Spreading} -% Let us show how the minimal perfect hash function~$h$ -% will be constructed. -% We make use of three auxiliary random functions~$h_1$, $h_2$ and~$h_3:U\to V$, -% where~$V=[0,t-1]$ for some suitably chosen integer~$t=cn$, where -% $n=|S|$. -% We build a random graph~$G=G(h_1,h_2)$ on~$V$, -% whose edge set is~$\big\{\{h_1(x),h_2(x)\}:x\in S\big\}$. -% There is an edge in~$G$ for each key in the set of keys~$S$. -% -% In what follows, we shall be interested in the \textit{2-core} of -% the random graph~$G$, that is, the maximal subgraph of~$G$ with minimal -% degree at least~$2$ -% (see, e.g., \cite{b01,jlr00}). -% Because of its importance in our context, we call the 2-core the -% \textit{critical} subgraph of~$G$ and denote it by~$G_\crit$. -% The vertices and edges in~$G_\crit$ are said to be \textit{critical}. -% We let~$V_\crit=V(G_\crit)$ and~$E_\crit=E(G_\crit)$. -% Moreover, we let~$V_\ncrit=V-V_\crit$ be the set of {\em non-critical} -% vertices in~$G$. -% We also let~$V_\scrit\subseteq V_\crit$ be the set of all critical -% vertices that have at least one non-critical vertex as a neighbour. -% Let $E_\ncrit=E(G)-E_\crit$ be the set of {\em non-critical} edges in~$G$. -% Finally, we let~$G_\ncrit=(V_\ncrit\cup V_\scrit,E_\ncrit)$ be the -% {\em non-critical} subgraph of~$G$. -% The non-critical subgraph $G_\ncrit$ corresponds to the ``acyclic part'' -% of~$G$. -% We have $G=G_\crit\cup G_\ncrit$. -% -% We then construct a suitable labelling $g:V\to\ZZ$ of the vertices -% of~$G$: we choose~$g(v)$ for each~$v\in V(G)$ in such -% a way that~$h(x)=g(h_1(x))+g(h_2(x))$ ($x\in S$) is a -% minimal perfect hash function for~$S$. -% We will see later on that this labelling~$g$ can be found in linear time -% if the number of edges in $G_\crit$ is at most $\frac{1}{2}|E(G)|$. -% -% Figure~\ref{prog:mainsteps} presents a pseudo code for the algorithm. -% The procedure GenerateMPHF ($S$, $g$) receives as input the set of -% keys~$S$ and produces the labelling~$g$. -% The method uses a mapping, ordering and searching approach. -% We now describe each step. -% -% \enlargethispage{\baselineskip} -% \enlargethispage{\baselineskip} -% \vspace{-11pt} -% \begin{figure}[htb] -% \begin{center} -% \begin{lstlisting}[ -% ] -% procedure @GenerateMPHF@ (@$S$@, @$g$@) -% Mapping (@$S$@, @$G$@); -% Ordering (@$G$@, @$G_\crit$@, @$G_\ncrit$@); -% Searching (@$G$@, @$G_\crit$@, @$G_\ncrit$@, @$g$@); -% \end{lstlisting} -% \end{center} -% \vspace{-12pt} -% \caption{Main steps of the algorithm for constructing a minimal -% perfect hash function} -% \vspace{-26pt} -% \label{prog:mainsteps} -% \end{figure} -% -% \subsection{Mapping Step} -% \label{sec:mapping} -% -% The procedure Mapping ($S$, $G$) receives as input the set of keys~$S$ and -% generates the random graph $G=G(h_1,h_2)$, by generating two auxiliary -% functions~$h_1$, $h_2:U\to[0,t-1]$. -% -% \def\tabela{\hbox{table}} -% % -% The functions~$h_1$ and~$h_2$ are constructed as follows. -% We impose some upper bound~$L$ on the lengths of the keys in~$S$. -% To define~$h_j$ ($j=1$,$2$), we generate an~$L\times\Sigma$ table -% of random integers~$\tabela_j$. -% For a key~$x\in S$ of length~$|x|\leq L$ and~$j\in\{1,2\}$, we let -% \begin{displaymath} \nonumber -% h_j(x) = \Big (\textstyle\sum_{i=1}^{|x|} \tabela_j[i, x[i]] \Big) \bmod t. -% \end{displaymath} -% The random graph~$G=G(h_1,h_2)$ has vertex set~$V=[0,t-1]$ and edge set -% $\big\{\{h_1(x),h_2(x)\}:x\in S\big\}$. We need~$G$ to be -% simple, i.e., -% $G$~should have neither loops nor multiple edges. -% A loop occurs when $h_1(x) = h_2(x)$ for some~$x\in S$. -% We solve this in an ad hoc manner: we simply let~$h_2(x)=(2h_1(x)+1)\bmod -% t$ in this case. -% If we still find a loop after this, -% we generate another pair $(h_1,h_2)$. -% When a multiple edge occurs we abort and generate a new pair~$(h_1,h_2)$. -% -% \vspace{-10pt} -% \subsubsection{Analysis of the Mapping Step. } -% -% We start by discussing some facts on random graphs. -% Let~$G=(V,E)$ with $|V|=t$ and $|E|=n$ be a random graph in the uniform -% model~$\cG(t,n)$, the model in which all the~${{t\choose2}\choose n}$ graphs -% on~$V$ with~$n$ edges are equiprobable. -% The study of~$\cG(t,n)$ goes back to the classical -% work of Erd\H os and R\'enyi~\cite{er59,er60,er61} (for a modern treatment, -% see~\cite{b01,jlr00}). -% Let $d=2n/t$ be the average degree of $G$. -% It is well known that, if~$d>1$, or, equivalently, -% if~$c<2$ (recall that we have $t=cn$), -% then, almost every~$G$ -% contains\footnote{As is usual in the theory of random graphs, we use -% the terms `almost every' and `almost surely' to mean `with probability -% tending to~$1$ as~$t\to\infty$'.} a ``giant'' component of -% order~$(1+o(1))bt$, where~$b=1-T/d$, and~$00$ -% as~$n\to\infty$, the expected number of iterations is~$e^{1/c^2}=2.13$ (recall -% $c=1.15$). -% As the expected number of iterations is $O(1)$, the mapping step takes -% $O(n)$ time. -% -% \vspace{-5pt} -% \subsection{Ordering Step} -% \label{sec:ordering} -% -% The procedure Ordering ($G$, $G_\crit$, $G_\ncrit$) receives as -% input the graph~$G$ and partitions~$G$ into the two subgraphs -% $G_\crit$ and $G_\ncrit$, so that~$G=G_\crit\cup G_\ncrit$. -% For that, the procedure iteratively remove all vertices of degree 1 until done. -% -% \enlargethispage{\baselineskip} -% Figure~\ref{fig:grafordering}(a) presents a sample graph with 9 vertices -% and 8 edges, where the degree of a vertex is shown besides each vertex. -% Applying the ordering step in this graph, the $5$-vertex graph showed in -% Figure~\ref{fig:grafordering}(b) is obtained. -% All vertices with degree 0 are non-critical vertices and the others are -% critical vertices. In order to determine the vertices in $V_\scrit$ we collect all vertices -% $v \in V(G_\crit)$ with at least one vertex $u$ that is in Adj$(v)$ and -% in $V(G_\ncrit)$, as the vertex 8 in Figure~\ref{fig:grafordering}(b). -% -% \vspace{-5pt} -% \begin{figure*}[!htb] -% \begin{center} -% \scalebox{0.85}{\psfig{file=figs/grafordering.ps}} -% \end{center} -% \vspace{-10pt} -% \caption{Ordering step for a graph with 9 vertices and 8 edges} -% \vspace{-30pt} -% \label{fig:grafordering} -% \end{figure*} -% -% -% \subsubsection{Analysis of the Ordering Step. } -% -% The time complexity of the ordering step is $O(|V(G)|)$ (see \cite{chm97}). -% As $|V(G)| = t = cn$, the ordering step takes $O(n)$ time. -% -% \vspace{-5pt} -% \subsection{Searching Step} -% \label{sec:searching} -% -% In the searching step, the key part is -% the {\em perfect assignment problem}: find $g:V(G)\to\ZZ$ such that -% the function $h:E(G)\to\ZZ$ defined by -% \begin{eqnarray} -% \label{eq:phf} -% h(e) = g(a)+g(b) \qquad(e=\{a,b\}) -% \end{eqnarray} -% is a bijection from~$E(G)$ to~$[0,n-1]$ (recall~$n=|S|=|E(G)|$). -% We are interested in a labelling $g:V\to\ZZ$ of -% the vertices of the graph~$G=G(h_1,h_2)$ with -% the property that if~$x$ and~$y$ are keys in~$S$, then -% $g(h_1(x))+g(h_2(x))\neq g(h_1(y))+g(h_2(y))$; that is, if we associate -% to each edge the sum of the labels on its endpoints, then these values -% should be all distinct. -% Moreover, we require that all the sums $g(h_1(x))+g(h_2(x))$ ($x\in S$) -% fall between~$0$ and~$|E(G)|-1=n-1$, so that we have a bijection -% between~$S$ and~$[0,n-1]$. -% -% The procedure Searching ($G$, $G_\crit$, $G_\ncrit$, $g$) receives -% as input~$G$, $G_\crit$, $G_\ncrit$ and finds a suitable -% $\log_2 |V(G)| + 1$ bit value for each vertex $v \in V(G)$, stored in the -% array~$g$. -% This step is first performed for the vertices in the -% critical subgraph~$G_\crit$ of $G$ (the 2-core of~$G$) and then it is -% performed for the vertices in $G_\ncrit$ (the non-critical subgraph -% of~$G$ that contains the ``acyclic part'' of $G$). -% The reason the assignment of the $g$~values is first -% performed on the vertices in~$G_\crit$ is to resolve reassignments -% as early as possible (such reassignments are consequences of the cycles -% in~$G_\crit$ and are depicted hereinafter). -% -% \vspace{-8pt} -% \subsubsection{Assignment of Values to Critical Vertices. } -% \label{sec:assignmentcv} -% -% The labels~$g(v)$ ($v\in V(G_\crit)$) -% are assigned in increasing order following a greedy -% strategy where the critical vertices~$v$ are considered one at a time, -% according to a breadth-first search on~$G_\crit$. -% If a candidate value~$x$ for~$g(v)$ is forbidden -% because setting~$g(v)=x$ would create two edges with the same sum, -% we try~$x+1$ for~$g(v)$. This fact is referred to as a {\em reassignment}. -% -% \enlargethispage{\baselineskip} -% Let $A_E$ be the set of addresses assigned to edges in $E(G_\crit)$. -% Initially $A_E = \emptyset$. -% Let $x$ be a candidate value for $g(v)$. -% Initially $x = 0$. -% Considering the subgraph $G_\crit$ in Figure~\ref{fig:grafordering}(b), -% a step by step example of the assignment of values to vertices in $G_\crit$ -% is presented in Figure~\ref{fig:searching}. -% Initially, a vertex $v$ is chosen, the assignment $g(v)=x$ is made -% and $x$ is set to $x + 1$. -% For example, suppose that vertex $8$ in Figure~\ref{fig:searching}(a) is -% chosen, the assignment $g(8)=0$ is made and $x$ is set to $1$. -% -% \vspace{-12pt} -% \begin{figure*}[!htb] -% \begin{center} -% \scalebox{0.85}{\psfig{file=figs/grafsearching.ps}} -% \end{center} -% \vspace{-13pt} -% \caption{Example of the assignment of values to critical vertices} -% \vspace{-15pt} -% \label{fig:searching} -% \end{figure*} -% -% In Figure~\ref{fig:searching}(b), following the adjacency list of vertex $8$, -% the unassigned vertex $0$ is reached. -% At this point, we collect in -% the temporary variable $Y$ all adjacencies of vertex $0$ that have been assigned -% an $x$ value, and $Y = \{8\}$. -% Next, for all $u \in Y$, we check if $g(u)+x \not \in A_E$. -% Since $g(8) + 1 = 1 \not \in A_E$, then $g(0)$ is set to $1$, $x$ is incremented -% by 1 (now $x=2$) and $A_E = A_E \cup \{1\}=\{1\}$. -% Next, vertex $3$ is reached, $g(3)$ is set to $2$, -% $x$ is set to $3$ and $A_E = A_E \cup \{2\}=\{1,2\}$. -% Next, vertex $4$ is reached and $Y=\{3, 8\}$. -% Since $g(3) + 3 = 5 \not \in A_E$ and $g(8) + 3 = 3 \not \in A_E$, then -% $g(4)$ is set to $3$, $x$ is set to $4$ and $A_E = A_E \cup \{3,5\} = \{1,2,3,5\}$. -% Finally, vertex $7$ is reached and $Y=\{0, 8\}$. -% Since $g(0) + 4 = 5 \in A_E$, $x$ is incremented by 1 and set to 5, as depicted in -% Figure~\ref{fig:searching}(c). -% Since $g(8) + 5 = 5 \in A_E$, $x$ is again incremented by 1 and set to 6, -% as depicted in Figure~\ref{fig:searching}(d). -% These two reassignments are indicated by the arrows in Figure~\ref{fig:searching}. -% Since $g(0) + 6 = 7 \not \in A_E$ and $g(8) + 6 = 6 \not \in A_E$, then -% $g(7)$ is set to $6$ and $A_E = A_E \cup \{6,7\} = \{1,2,3,5,6,7\}$. -% This finishes the algorithm. -% -% \vspace{-15pt} -% \subsubsection{Assignment of Values to Non-Critical Vertices. } -% \label{sec:assignmentncv} -% -% As $G_\ncrit$ is acyclic, we can impose the order in which addresses are -% associated with edges in $G_\ncrit$, making this step simple to solve -% by a standard depth first search algorithm. -% Therefore, in the assignment of values to vertices in $G_\ncrit$ we -% benefit from the unused addresses in the gaps left by the assignment of values -% to vertices in $G_\crit$. -% For that, we start the depth-first search from the vertices in $V_\scrit$ -% because the $g$ values for these critical vertices have already been assigned -% and cannot be changed. -% -% Considering the subgraph $G_\ncrit$ in Figure~\ref{fig:grafordering}(b), -% a step by step example of the assignment of values to vertices in -% $G_\ncrit$ is presented in Figure~\ref{fig:searchingncv}. -% Figure~\ref{fig:searchingncv}(a) presents the initial state of the -% algorithm. -% The critical vertex~$8$ is the only one that has non-critical -% neighbours. -% In the example presented in Figure~\ref{fig:searching}, the addresses -% $\{0, 4\}$ were not used. -% So, taking the first unused address $0$ and the vertex $1$, which is -% reached from the vertex $8$, $g(1)$ is set to -% $0 - g(8) = 0$, as shown in Figure~\ref{fig:searchingncv}(b). -% The only vertex that is reached from vertex $1$ is vertex $2$, so -% taking the unused address $4$ we set $g(2)$ to $4 - g(1) = 4$, -% as shown in Figure~\ref{fig:searchingncv}(c). -% This process is repeated until the UnAssignedAddresses list becomes empty. -% -% \vspace{-8pt} -% \begin{figure*}[!htb] -% \begin{center} -% \scalebox{0.85}{\psfig{file=figs/grafsearchingncv.ps}} -% \end{center} -% \vspace{-12pt} -% \caption{Example of the assignment of values to non-critical vertices} -% \vspace{-30pt} -% \label{fig:searchingncv} -% \end{figure*} -% -% \subsubsection{Analysis of the Searching Step. } -% -% We shall demonstrate that -% (i) the maximum value assigned to an edge is at most $n-1$ (that is, we -% generate a minimal perfect hash function), and -% (ii) the perfect assignment problem (determination of~$g$) -% can be solved in expected time $O(n)$ if the number of edges -% in $G_\crit$ is at most $\frac{1}{2}|E(G)|$. -% -% \enlargethispage{\baselineskip} -% We focus on the analysis of the assignment of values to critical vertices -% because the assignment of values to non-critical vertices -% can be solved in linear time by a depth first search algorithm. -% -% We now define certain complexity measures. -% Let $I(v)$ be the number of times a candidate value $x$ for -% $g(v)$ is incremented. -% Let $N_t$ be the total number of times that candidate values -% $x$ are incremented. -% Thus, we have~$N_t=\sum I(v)$, where the sum is over all~$v\in -% V(G_\crit)$. -% -% For simplicity, we shall suppose that $G_\crit$, the 2-core of $G$, is -% connected.\footnote{The number of vertices in~$G_\crit$ outside the giant -% component is provably very small for~$c=1.15$; -% see~\cite{b01,jlr00,pw04}.} The fact that -% every edge is either a tree edge or a back edge (see, e.g., \cite{clrs01}) -% then implies the following. -% -% \begin{theorem} \label{th:nbedg} -% The number of back edges $N_\bedges$ of $G = G_\crit \cup G_\ncrit$ -% is given by $N_\bedges = |E(G_\crit)| - |V(G_\crit)| + 1$.\qed -% \end{theorem} -% -% \def\maxx{{\rm max}} -% Our next result concerns the maximal value $A_\maxx$ assigned to an edge $e -% \in E(G_\crit)$ after the assignment of $g$ values to critical vertices. -% -% \begin{theorem} \label{th:Agrt} -% We have $A_\maxx\le 2|V(G_\crit)| - 3 + 2N_{t}$. -% \end{theorem} -% \vspace{-15pt} -% -% \enlargethispage{\baselineskip} -% \begin{proof}(Sketch) -% The assignment of $g$ values to critical vertices starts from 0, -% and each edge~$e$ receives the label $h(e)$ -% as given by Eq.~(\ref{eq:phf}). -% The $g$ value for each vertex $v$ in $V(G_\crit)$ is assigned only once. -% A little thought shows that~$\max_v g(v)\leq |V(G_\crit)|-1+N_t$, where the -% maximum is taken over all vertices~$v$ in~$V(G_\crit)$. Moreover, two -% distinct vertices get distinct~$g$ values. Hence, -% $A_\maxx\le(|V(G_\crit)|-1+N_t)+(|V(G_\crit)|-2+N_t) -% \le2|V(G_\crit)|-3+2N_t$, as required.\qed -% \end{proof} -% -% \vspace{-15pt} -% \subsubsection{Maximal Value Assigned to an Edge. } -% -% In this section we present the following conjecture. -% \begin{conjecture} \label{conj:gretestaddr} -% For a random graph $G$ with $|E(G_\crit)|\leq n/2$ and -% $|V(G)| = 1.15n$, -% it is always possible to generate a minimal perfect hash function -% because the maximal value $A_\maxx$ assigned to an edge -% $e \in E(G_\crit)$ is at most $n - 1$. -% \end{conjecture} -% -% Let us assume for the moment that $N_{t} \le N_\bedges$. -% Then, from Theorems~\ref{th:nbedg} and~\ref{th:Agrt}, -% we have -% $A_\maxx\le2|V(G_\crit)|-3+2N_t\leq2|V(G_\crit)|-3+2N_\bedges -% \leq2|V(G_\crit)|-3+2(|E(G_\crit)|-|V(G_\crit)|+1)\le2|E(G_\crit)|-1$. -% As by hypothesis $|E(G_\crit)|\leq n/2$, we have -% $A_\maxx \le n - 1$, as required. -% -% \textit{In the mathematical analysis of our algorithm, what is left -% open is a single problem: -% prove that $N_{t} \le N_\bedges$.}\footnote{% -% Bollob\'as and Pikhurko~\cite{bp04} have investigated -% a very close vertex labelling problem for random graphs. -% However, their interest was on denser random graphs, and it seems that -% different methods will have to be used to attack the sparser case that -% we are interested in here.} -% -% We now show experimental evidence that $N_{t} \le N_\bedges$. -% Considering Eqs~(\ref{eq:nvertices2core}) and~(\ref{eq:nedges2core}), -% the expected values for $|V(G_\crit)|$ and $|E(G_\crit)|$ for $c=1.15$ are -% $0.401 n$ and $0.501n$, respectively. -% From Theorem~\ref{th:nbedg}, -% $N_\bedges = 0.501n - 0.401n + 1 = 0.1n + 1$. -% Table~\ref{tab:collisions1} presents the maximal value of $N_t$ obtained -% during 10,000 executions of the algorithm for different sizes of $S$. -% The maximal value of $N_t$ was always smaller than $N_\bedges = 0.1 n + 1$ and -% tends to $0.059n$ for $n\ge1{,}000{,}000$. -% -% \vspace{-5pt} -% \begin{table}[!htb] -% {\footnotesize%\small -% \begin{center} -% \begin{tabular}{|c|c|} -% \hline -% $n$ & Maximal value of $N_t$\\ -% \hline -% %$1{,}000$ & $0.091 n$ \\ -% $10{,}000$ & $0.067 n$ \\ -% $100{,}000$ & $0.061 n$ \\ -% $1{,}000{,}000$ & $0.059 n$ \\ -% $2{,}000{,}000$ & $0.059 n$ \\ -% %$\vdots$ & $\vdots$ \\ -% \hline -% \end{tabular} -% \end{center} -% } -% \caption{The maximal value of $N_t$ for different number of URLs} -% \vspace{-40pt} -% \label{tab:collisions1} -% \end{table} -% -% \subsubsection{Time Complexity. } -% We now show that the time complexity of determining~$g(v)$ -% for all critical vertices~$x\in V(G_\crit)$ is -% $O(|V(G_\crit)|)=O(n)$. -% For each unassigned vertex $v$, the adjacency list of $v$, which we -% call Adj($v$), must be traversed -% to collect the set $Y$ of adjacent vertices that have already been assigned a -% value. -% Then, for each vertex in $Y$, we check if the current candidate value $x$ is -% forbidden because setting $g(v)=x$ would create two edges with the same -% endpoint sum. -% Finally, the edge linking $v$ and $u$, for all $u \in Y$, is -% associated with -% the address that corresponds to the sum of its endpoints. -% Let $d_\crit=2|E(G_\crit)|/|V(G_\crit)|$ be the average degree of $G_\crit$, -% note that~$|Y|\leq|{\mathrm Adj}(v)|$, and suppose for simplicity -% that~$|{\mathrm Adj}(v)|=O(d_\crit)$. -% Then, putting all these together, we see that the time complexity of this -% procedure is -% \begin{eqnarray} -% &C(|V(G_\crit)|) = \sum_{v\in V(G_\crit)} \big[\:|{\mathrm Adj}(v)| + -% (I(v) \times|Y|) + |Y|\big]\nonumber\\ -% &\qquad\qquad\qquad\leq\sum_{v\in V(G_\crit)}(2+I(v))|{\mathrm Adj}(v)| -% =4|E(G_\crit)|+O(N_t d_\crit).\nonumber -% \end{eqnarray} -% As $d_\crit=2\times0.501n/0.401n\simeq2.499$ (a constant) we have -% $O(|E(G_\crit)|)=O(|V(G_\crit)|)$. -% Supposing that $N_{t}\le N_\bedges$, we have, from Theorem~\ref{th:nbedg}, -% that -% $ -% N_{t}\le|E(G_\crit)|-|V(G_\crit)|+1 -% =O(|E(G_\crit)|)$. -% We conclude that -% $C(|V(G_\crit)|)=O(|E(G_\crit)|) = O(|V(G_\crit)|)$. -% As $|V(G_\crit)| \le |V(G)|$ and $|V(G)| = cn$, -% the time required to determine~$g$ on the critical vertices is $O(n)$. -% \enlargethispage{\baselineskip} -% \vspace{-8pt} diff --git a/vldb/ingles/applications.tex b/vldb/ingles/applications.tex deleted file mode 100644 index cd6e72b..0000000 --- a/vldb/ingles/applications.tex +++ /dev/null @@ -1,2 +0,0 @@ -\section{Applications} -\label{sec:applications} \ No newline at end of file diff --git a/vldb/ingles/conclusions.tex b/vldb/ingles/conclusions.tex deleted file mode 100755 index a71789c..0000000 --- a/vldb/ingles/conclusions.tex +++ /dev/null @@ -1,5 +0,0 @@ -\section{Conclusion} - -% We have presented a practical method for constructing minimal perfect -% hash functions for static sets that is efficient and may be tuned -% to yield a function with a very economical description. diff --git a/vldb/ingles/experimentalresults.tex b/vldb/ingles/experimentalresults.tex deleted file mode 100755 index 3193625..0000000 --- a/vldb/ingles/experimentalresults.tex +++ /dev/null @@ -1,178 +0,0 @@ -\section{Experimental Results} - -% We now present some experimental results. -% The same experiments were run with our algorithm and -% the algorithm due to Czech, Havas and Majewski~\cite{chm92}, referred to as -% the CHM algorithm. -% The two algorithms were implemented in the C language and -% are available at \texttt{http://cmph.sf.net}. -% Our data consists -% of a collection of 100 million -% universe resource locations (URLs) collected from the Web. -% The average length of a URL in the collection is 63 bytes. -% All experiments were carried out on -% a computer running the Linux operating system, version 2.6.7, -% with a 2.4 gigahertz processor and -% 4 gigabytes of main memory. -% -% Table~\ref{tab:characteristics} presents the main characteristics -% of the two algorithms. -% The number of edges in the graph $G=(V,E)$ is~$|S|=n$, -% the number of keys in the input set~$S$. -% The number of vertices of $G$ is equal to $1.15n$ and $2.09n$ -% for our algorithm and the CHM algorithm, respectively. -% This measure is related to the amount of space to store the array $g$. -% This improves the space required to store a function in our algorithm to -% $55\%$ of the space required by the CHM algorithm. -% The number of critical edges -% is $\frac{1}{2}|E(G)|$ and 0 for our algorithm and the CHM algorithm, -% respectively. -% Our algorithm generates random graphs that contain cycles with high -% probability and the -% CHM algorithm -% generates -% acyclic random graphs. -% Finally, the CHM algorithm generates order preserving functions -% while our algorithm does not preserve order. -% -% \vspace{-10pt} -% \begin{table}[htb] -% {\footnotesize -% \begin{center} -% \begin{tabular}{|c|c|c|c|c|c|c|} -% \hline -% & $c$ & $|E(G)|$ & $|V(G)|=|g|$ & $|E(G_\crit)|$ & $G$ & Order preserving \\ -% \hline -% Our algorithm & 1.15 & $n$ & $cn$ & $0.5|E(G)|$ & cyclic & no \\ -% \hline -% CHM algorithm & 2.09 & $n$ & $cn$ & 0 & acyclic & yes \\ -% \hline -% \end{tabular} -% \end{center} -% } -% \caption{Main characteristics of the algorithms} -% \vspace{-25pt} -% \label{tab:characteristics} -% \end{table} -% -% Table~\ref{tab:timeresults} presents time measurements. -% All times are in seconds. -% The table entries are averages over 50 trials. -% The column labelled $N_i$ gives -% the number of iterations to generate the random graph $G$ -% in the mapping step of the algorithms. -% The next columns give the running times -% for the mapping plus ordering steps together and the searching -% step for each algorithm. -% The last column gives the percentage gain of our algorithm -% over the CHM algorithm. -% -% \begin{table*} -% {\footnotesize -% \begin{center} -% \begin{tabular}{|c|cccc|cccc|c|} -% \hline -% \raisebox{-0.7em}{$n$} & \multicolumn{4}{c|}{\raisebox{-1mm}{Our algorithm}} & -% \multicolumn{4}{c|}{\raisebox{-1mm}{CHM algorithm}}& \raisebox{-0.2em}{Gain}\\ -% \cline{2-5} \cline{6-9} -% & \raisebox{-1mm}{$N_i$} &\raisebox{-1mm}{Map+Ord} & -% \raisebox{-1mm}{Search} &\raisebox{-1mm}{Total} & -% \raisebox{-1mm}{$N_i$} &\raisebox{-1mm}{Map+Ord} &\raisebox{-1mm}{Search} & -% \raisebox{-1mm}{Total} & \raisebox{0.2em}{(\%)}\\ -% \hline -% %1,562,500 & 2.28 & 8.54 & 2.37 & 10.91 & 2.70 & 14.56 & 1.57 & 16.13 & 48 \\ %[1mm] -% %3,125,000 & 2.16 & 15.92 & 4.88 & 20.80 & 2.85 & 30.36 & 3.20 & 33.56 & 61 \\ %[1mm] -% 6,250,000 & 2.20 & 33.09 & 10.48 & 43.57 & 2.90 & 62.26 & 6.76 & 69.02 & 58 \\ %[1mm] -% 12,500,000 & 2.00 & 63.26 & 23.04 & 86.30 & 2.60 & 117.99 & 14.94 & 132.92 & 54 \\ %[1mm] -% 25,000,000 & 2.00 & 130.79 & 51.55 & 182.34 & 2.80 & 262.05 & 33.68 & 295.73 & 62 \\ %[1mm] -% %50,000,000 & 2.07 & 273.75 & 114.12 & 387.87 & 2.90 & 577.59 & 73.97 & 651.56 & 68 \\ %[1mm] -% 100,000,000 & 2.07 & 567.47 & 243.13 & 810.60 & 2.80 & 1,131.06 & 157.23 & 1,288.29 & 59 \\ %[1mm] -% \hline -% \end{tabular} -% \end{center} -% \caption{Time measurements -% for our algorithm and the CHM algorithm} -% \vspace{-25pt} -% \label{tab:timeresults} -% }\end{table*} -% -% \enlargethispage{\baselineskip} -% The mapping step of the new algorithm is faster because -% the expected number of iterations in the mapping step to generate -% $G$ are 2.13 and 2.92 for our algorithm and the CHM algorithm, respectively. -% The graph $G$ generated by our algorithm -% has $1.15n$ vertices, against $2.09n$ for the CHM algorithm. -% These two facts make our algorithm faster in the mapping step. -% The ordering step of our algorithm is approximately equal to -% the time to check if $G$ is acyclic for the CHM algorithm. -% The searching step of the CHM algorithm is faster, but the total -% time of our algorithm is, on average, approximately 58\% faster -% than the CHM algorithm. -% -% The experimental results fully backs the theoretical results. -% It is important to notice the times for the searching step: -% for both algorithms they are not the dominant times, -% and the experimental results clearly show -% a linear behavior for the searching step. -% -% We now present a heuristic that reduces the space requirement -% to any given value between $1.15n$ words and $0.93n$ words. -% The heuristic reuses, when possible, the set -% of $x$ values that caused reassignments, just before trying $x+1$ -% (see Section~\ref{sec:searching}). -% The lower limit $c=0.93$ was obtained experimentally. -% We generate $10{,}000$ random graphs for -% each size $n$ ($n=10^5$, $5 \times 10^5$, $10^6$, $2\times 10^6$). -% With $c=0.93$ we were always able to generate~$h$, but with $c=0.92$ we never -% succeeded. -% Decreasing the value of $c$ leads to an increase in the number of -% iterations to generate $G$. -% For example, for $c=1$ and $c=0.93$, the analytical expected number -% of iterations are $2.72$ and $3.17$, respectively -% (for $n=12{,}500{,}000$, the number of iterations are 2.78 for $c=1$ and 3.04 -% for $c=0.93$). -% Table~\ref{tab:timeresults2} presents the total times to construct a -% function for $n=12{,}500{,}000$, with an increase from $86.31$ seconds -% for $c=1.15$ (see Table~\ref{tab:timeresults}) to -% $101.74$ seconds for $c=1$ and to $102.19$ seconds for $c=0.93$. -% -% \vspace{-5pt} -% \begin{table*} -% {\footnotesize -% \begin{center} -% \begin{tabular}{|c|cccc|cccc|} -% \hline -% \raisebox{-0.7em}{$n$} & \multicolumn{4}{c|}{\raisebox{-1mm}{Our algorithm $c=1.00$}} & -% \multicolumn{4}{c|}{\raisebox{-1mm}{Our algorithm $c=0.93$}} \\ -% \cline{2-5} \cline{6-9} -% & \raisebox{-1mm}{$N_i$} &\raisebox{-1mm}{Map+Ord} & -% \raisebox{-1mm}{Search} &\raisebox{-1mm}{Total} & -% \raisebox{-1mm}{$N_i$} &\raisebox{-1mm}{Map+Ord} &\raisebox{-1mm}{Search} & -% \raisebox{-1mm}{Total} \\%[0.3mm] -% \hline%\\[-2mm] -% 12,500,000 & 2.78 & 76.68 & 25.06 & 101.74 & 3.04 & 76.39 & 25.80 & 102.19 \\ %[1mm] -% \hline -% \end{tabular} -% \end{center} -% \caption{Time measurements -% for our tuned algorithm with $c=1.00$ and $c=0.93$} -% \vspace{-25pt} -% \label{tab:timeresults2} -% } -% \end{table*} -% -% We compared our algorithm with the ones proposed by Pagh~\cite{p99} and -% Dietzfelbinger and Hagerup~\cite{dh01}, respectively. The authors sent to us their -% source code. In their implementation the set of keys is a set of random integers. -% We modified our implementation to generate our~$h$ from a set of random -% integers in order to make a fair comparison. For a set of $10^6$ random integers, -% the times to generate a minimal perfect hash function were $2.7 s$, $4 s$ and $4.5 s$ for -% our algorithm, Pagh's algorithm and Dietzfelbinger and Hagerup's algorithm, respectively. -% Thus, our algorithm was 48\% faster than Pagh's algorithm and 67\% faster than -% Dietzfelbinger and Hagerup's algorithm, on average. 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-n -1306 3652 m -1230 3677 l -1268 3605 l -1276 3638 l -1306 3652 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --1730 3592 m -1788 3687 l -1736 3718 l -1678 3623 l -1678 3623 l -1743 3672 l -1730 3592 l cp -eoclip -n -1485 3240 m - -1755 3690 l gs col0 s gr gr - -% arrowhead -n -1730 3592 m -1743 3672 l -1678 3623 l -1712 3620 l -1730 3592 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --188 3682 m -87 3723 l -64 3667 l -166 3626 l -166 3626 l -108 3682 l -188 3682 l cp -eoclip -n -1215 3240 m - -90 3690 l gs col0 s gr gr - -% arrowhead -n -188 3682 m -108 3682 l -166 3626 l -163 3659 l -188 3682 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --920 3592 m -978 3687 l -926 3718 l -868 3623 l -868 3623 l -933 3672 l -920 3592 l cp -eoclip -n -675 3240 m - -945 3690 l gs col0 s gr gr - -% arrowhead -n -920 3592 m -933 3672 l -868 3623 l -902 3620 l -920 3592 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --749 3623 m -693 3718 l -641 3687 l -697 3592 l -697 3592 l -685 3672 l -749 3623 l cp -eoclip -n -945 3240 m - -675 3690 l gs col0 s gr gr - -% arrowhead -n -749 3623 m -685 3672 l -697 3592 l -715 3620 l -749 3623 l - cp gs 0.00 setgray ef gr col0 s -/Times-Roman-iso ff 158.75 scf sf --2610 4095 m -gs 1 -1 sc (2) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --2880 4095 m -gs 1 -1 sc (1) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --3150 4095 m -gs 1 -1 sc (0) col0 sh gr -/Times-Roman-iso ff 285.75 scf sf --1575 4050 m -gs 1 -1 sc (...) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --270 4095 m -gs 1 -1 sc (m-1) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --450 3195 m -gs 1 -1 sc (Key Set) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf -90 3825 m -gs 1 -1 sc (Hash Table) col0 sh gr -/Times-Roman-iso ff 174.63 scf sf --3600 3465 m -gs 1 -1 sc (\(a\)) col0 sh gr -% here ends figure; -$F2psEnd -rs -showpage -%%Trailer -%EOF diff --git a/vldb/ingles/introduction.tex b/vldb/ingles/introduction.tex deleted file mode 100755 index 2c08256..0000000 --- a/vldb/ingles/introduction.tex +++ /dev/null @@ -1,86 +0,0 @@ -\section{Introduction} -\label{sec:introduction} - -Suppose~$U$ is a universe of \textit{keys}. -Let $h:U\to M$ be a {\em hash function} that maps the keys from~$U$ -to a given interval of integers $M=[0,m-1]=\{0,1,\dots,m-1\}$. -Let~$S\subseteq U$ be a set of~$n$ keys from~$U$. -Given a key~$x\in S$, the hash function~$h$ computes an integer in -$[0,m-1]$ for the storage or retrieval of~$x$ in a {\em hash table}. -Hashing methods for {\em non-static sets} of keys can be used to construct -data structures storing $S$ and supporting membership queries -``$x \in S$?'' in expected time $O(1)$. -However, they involve a certain amount of wasted space owing to unused -locations in the table and waisted time to resolve collisions when -two keys are hashed to the same table location. - -For {\em static sets} of keys it is possible to compute a function -to find any key in a table in one probe; such hash functions are called -\textit{perfect}. -Given a set of keys~$S$, we shall say that a hash function~$h:U\to M$ is a -\textit{perfect hash function} for~$S$ if~$h$ is an injection on~$S$, -that is, there are no \textit{collisions} among the keys in~$S$: if~$x$ -and~$y$ are in~$S$ and~$x\neq y$, then~$h(x)\neq h(y)$. -Figure~\ref{fig:minimalperfecthash-ph-mph}(a) illustrates a perfect hash -function. -Since no collisions occur, each key can be retrieved from the table -with a single probe. -If~$m=n$, that is, the table has the same size as~$S$, -then~$h$ is a \textit{minimal perfect hash function} for~$S$. -Figure~\ref{fig:minimalperfecthash-ph-mph}(b) illustrates -a~minimal perfect hash function. -Minimal perfect hash functions totally avoid the problem of wasted -space and time. - -% For two-column wide figures use -\begin{figure*} -% Use the relevant command to insert your figure file. -% For example, with the graphicx package use -\centering - \includegraphics{figs/minimalperfecthash-ph-mph.ps} -% figure caption is below the figure -\caption{(a) Perfect hash function\quad (b) Minimal perfect hash function} -\label{fig:minimalperfecthash-ph-mph} -\end{figure*} - -Minimal perfect hash functions are widely used for memory efficient -storage -and fast retrieval of items from static sets, such as words in natural -languages, reserved words in programming languages or interactive systems, -universal resource locations (URLs) in Web search engines, or item sets in -data mining techniques. - -The aim of this paper is to describe a new way of constructing minimal perfect -hash functions. Our algorithm shares several features with the one due to -Czech, Havas and Majewski~\cite{chm92}. In particular, our algorithm is also -based on the generation of random graphs~$G=(V,E)$, where~$E$ is in one-to-one -correspondence with the key set~$S$ for which we wish to generate the hash -function. -The two main differences between our algorithm and theirs -are as follows: -(\textit{i})~we generate random graphs -$G = (V, E)$ with $|V|=cn$ and $|E|=|S|=n$, where~$c=1.15$, and hence~$G$ -contains cycles with high probability, -while they generate \textit{acyclic} random graphs -$G = (V, E)$ with $|V|=cn$ and $|E|=|S|=n$, -with a greater number of vertices: $|V|\ge2.09n$; -(\textit{ii})~they generate order preserving minimal perfect hash functions -while our algorithm does not preserve order (a perfect hash function $h$ is -\textit{order preserving} if the keys in~$S$ are arranged in some given order -and~$h$ preserves this order in the hash table). Thus, our algorithm improves -the space requirement at the expense of generating functions that are not -order preserving. - -Our algorithm is efficient and may be tuned to yield a function~$h$ -with a very economical description. -As the algorithm in~\cite{chm92}, our algorithm produces~$h$ -in~$O(n)$ expected time for a set of~$n$ keys. -The description of~$h$ requires~$1.15n$ computer words, -and evaluating~$h(x)$ -requires two accesses to an array of~$1.15n$ integers. -We further derive a heuristic that improves the space requirement -from~$1.15n$ words down to~$0.93n$ words. -Our scheme is very practical: to generate a minimal perfect hash function for -a collection of 100~million universe resource locations (URLs), each 63 bytes -long on average, our algorithm running on a commodity PC takes 811 seconds on -average. diff --git a/vldb/ingles/makefile b/vldb/ingles/makefile deleted file mode 100755 index c1a738f..0000000 --- a/vldb/ingles/makefile +++ /dev/null @@ -1,17 +0,0 @@ -all: - latex vldb.tex - bibtex vldb - latex vldb.tex - latex vldb.tex - dvips vldb.dvi -o vldb.ps - ps2pdf vldb.ps - chmod -R g+rwx * - -perm: - chmod -R g+rwx * - -run: clean all - gv vldb.ps & -clean: - rm *.aux *.bbl *.blg *.log - diff --git a/vldb/ingles/references.bib b/vldb/ingles/references.bib deleted file mode 100755 index 02f50aa..0000000 --- a/vldb/ingles/references.bib +++ /dev/null @@ -1,687 +0,0 @@ -@inproceedings{p99, - author = {R. Pagh}, - title = {Hash and Displace: Efficient Evaluation of Minimal Perfect Hash Functions}, - booktitle = {Workshop on Algorithms and Data Structures}, - pages = {49-54}, - year = 1999, - url = {citeseer.nj.nec.com/pagh99hash.html}, - key = {author} -} - -@article{p00, - author = {R. Pagh}, - title = {Faster deterministic dictionaries}, - journal = {Symposium on Discrete Algorithms (ACM SODA)}, - OPTvolume = {43}, - OPTnumber = {5}, - pages = {487--493}, - year = {2000} -} - -@InProceedings{ss89, - author = {P. Schmidt and A. Siegel}, - title = {On aspects of universality and performance for closed hashing}, - booktitle = {Proc. 21th Ann. ACM Symp. on Theory of Computing -- STOC'89}, - month = {May}, - year = {1989}, - pages = {355--366} -} - -@article{asw00, - author = {M. Atici and D. R. Stinson and R. Wei.}, - title = {A new practical algorithm for the construction of a perfect hash function}, - journal = {Journal Combin. Math. Combin. Comput.}, - volume = {35}, - pages = {127--145}, - year = {2000} -} - -@article{swz00, - author = {D. R. Stinson and R. Wei and L. Zhu}, - title = {New constructions for perfect hash families and related structures using combinatorial designs and codes}, - journal = {Journal Combin. Designs.}, - volume = {8}, - pages = {189--200}, - year = {2000} -} - -@inproceedings{ht01, - author = {T. Hagerup and T. Tholey}, - title = {Efficient minimal perfect hashing in nearly minimal space}, - booktitle = {The 18th Symposium on Theoretical Aspects of Computer Science (STACS), volume 2010 of Lecture Notes in Computer Science}, - year = 2001, - pages = {317--326}, - key = {author} -} - -@inproceedings{dh01, - author = {M. Dietzfelbinger and T. Hagerup}, - title = {Simple minimal perfect hashing in less space}, - booktitle = {The 9th European Symposium on Algorithms (ESA), volume 2161 of Lecture Notes in Computer Science}, - year = 2001, - pages = {109--120}, - key = {author} -} - - -@MastersThesis{mar00, - author = {M. S. Neubert}, - title = {Algoritmos Distribu�os para a Constru�o de Arquivos invertidos}, - school = {Departamento de Ci�cia da Computa�o, Universidade Federal de Minas Gerais}, - year = 2000, - month = {Mar�}, - key = {author} -} - - -@Book{clrs01, - author = {T. H. Cormen and C. E. Leiserson and R. L. Rivest and C. Stein}, - title = {Introduction to Algorithms}, - publisher = {MIT Press}, - year = {2001}, - edition = {second}, -} - - -@Book{k73, - author = {D. E. Knuth}, - title = {The Art of Computer Programming: Sorting and Searching}, - publisher = {Addison-Wesley}, - volume = {3}, - year = {1973}, - edition = {second}, -} - -@inproceedings{rp99, - author = {R. Pagh}, - title = {Hash and Displace: Efficient Evaluation of Minimal Perfect Hash Functions}, - booktitle = {Workshop on Algorithms and Data Structures}, - pages = {49-54}, - year = 1999, - url = {citeseer.nj.nec.com/pagh99hash.html}, - key = {author} -} - -@inproceedings{hmwc93, - author = {G. Havas and B.S. Majewski and N.C. Wormald and Z.J. Czech}, - title = {Graphs, Hypergraphs and Hashing}, - booktitle = {19th International Workshop on Graph-Theoretic Concepts in Computer Science}, - publisher = {Springer Lecture Notes in Computer Science vol. 790}, - pages = {153-165}, - year = 1993, - key = {author} -} - -@inproceedings{bkz05, - author = {F.C. Botelho and Y. Kohayakawa and N. 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Jerrum}, -} - -@incollection {jlr90, - AUTHOR = {Janson, Svante and {\L}uczak, Tomasz and Ruci{\'n}ski, - Andrzej}, - TITLE = {An exponential bound for the probability of nonexistence of a - specified subgraph in a random graph}, - BOOKTITLE = {Random graphs '87 (Pozna\'n, 1987)}, - PAGES = {73--87}, - PUBLISHER = {Wiley}, - ADDRESS = {Chichester}, - YEAR = 1990, - MRCLASS = {05C80 (60C05)}, - MRNUMBER = {91m:05168}, -MRREVIEWER = {J. Spencer}, -} - -@book {b01, - AUTHOR = {Bollob{\'a}s, B.}, - TITLE = {Random graphs}, - SERIES = {Cambridge Studies in Advanced Mathematics}, - VOLUME = 73, - EDITION = {Second}, - PUBLISHER = {Cambridge University Press}, - ADDRESS = {Cambridge}, - YEAR = 2001, - PAGES = {xviii+498}, - ISBN = {0-521-80920-7; 0-521-79722-5}, - MRCLASS = {05C80 (60C05)}, - MRNUMBER = {MR1864966 (2002j:05132)}, -} - diff --git a/vldb/ingles/relatedwork.tex b/vldb/ingles/relatedwork.tex deleted file mode 100755 index e32c52e..0000000 --- a/vldb/ingles/relatedwork.tex +++ /dev/null @@ -1,67 +0,0 @@ -\section{Related Work} -Czech, Havas and Majewski~\cite{chm97} provide a -comprehensive survey of the most important theoretical results -on perfect hashing. -In the following, we review some of those results. - -Fredman, Koml\'os and Szemer\'edi~\cite{FKS84} showed that it is possible to -construct space efficient perfect hash functions that can be evaluated in -constant time with table sizes that are linear in the number of keys: -$m=O(n)$. In their model of computation, an element of the universe~$U$ fits -into one machine word, and arithmetic operations and memory accesses have unit -cost. Randomized algorithms in the FKS model can construct a perfect hash -function in expected time~$O(n)$: -this is the case of our algorithm and the works in~\cite{chm92,p99}. - -Many methods for generating minimal perfect hash functions use a -{\em mapping}, {\em ordering} and {\em searching} -(MOS) approach, -a description coined by Fox, Chen and Heath~\cite{fch92}. -In the MOS approach, the construction of a minimal perfect hash function -is accomplished in three steps. -First, the mapping step transforms the key set from the original universe -to a new universe. -Second, the ordering step places the keys in a sequential order that -determines the order in which hash values are assigned to keys. -Third, the searching step attempts to assign hash values to the keys. -Our algorithm and the algorithm presented in~\cite{chm92} use the -MOS approach. - -Pagh~\cite{p99} proposed a family of randomized algorithms for -constructing minimal perfect hash functions. -The form of the resulting function is $h(x) = (f(x) + d_{g(x)}) \bmod n$, -where $f$ and $g$ are universal hash functions and $d$ is a set of -displacement values to resolve collisions that are caused by the function $f$. -Pagh identified a set of conditions concerning $f$ and $g$ and showed -that if these conditions are satisfied, then a minimal perfect hash -function can be computed in expected time $O(n)$ and stored in -$(2+\epsilon)n$ computer words. -Dietzfelbinger and Hagerup~\cite{dh01} improved~\cite{p99}, -reducing from $(2+\epsilon)n$ to $(1+\epsilon)n$ the number of computer -words required to store the function, but in their approach~$f$ and~$g$ must -be chosen from a class -of hash functions that meet additional requirements. -Differently from the works in~\cite{p99,dh01}, our algorithm uses two -universal hash functions $h_1$ and $h_2$ randomly selected from a class -of universal hash functions that do not need to meet any additional -requirements. - -The work in~\cite{chm92} presents an efficient and practical algorithm -for generating order preserving minimal perfect hash functions. -Their method involves the generation of acyclic random graphs -$G = (V, E)$ with~$|V|=cn$ and $|E|=n$, with $c \ge 2.09$. -They showed that an order preserving minimal perfect hash function -can be found in optimal time if~$G$ is acyclic. -To generate an acyclic graph, two vertices $h_1(x)$ and $h_2(x)$ are -computed for each key $x \in S$. -Thus, each set~$S$ has a corresponding graph~$G=(V,E)$, where $V=\{0,1, -\ldots,t\}$ and $E=\big\{\{h_1(x),h_2(x)\}:x \in S\big\}$. -In order to guarantee the acyclicity of~$G$, the algorithm repeatedly selects -$h_1$ and $h_2$ from a family of universal hash functions -until the corresponding graph is acyclic. -Havas et al.~\cite{hmwc93} proved that if $|V(G)|=cn$ and $c>2$, -then the probability that~$G$ is acyclic is $p=e^{1/c}\sqrt{(c-2)/c}$. -For $c=2.09$, this probability is -$p \simeq 0.342$, and -the expected number of iterations to obtain an acyclic graph -is~$1/p \simeq 2.92$. \ No newline at end of file diff --git a/vldb/ingles/svglov2.clo b/vldb/ingles/svglov2.clo deleted file mode 100644 index d98306e..0000000 --- a/vldb/ingles/svglov2.clo +++ /dev/null @@ -1,77 +0,0 @@ -% SVJour2 DOCUMENT CLASS OPTION SVGLOV2 -- for standardised journals -% -% This is an enhancement for the LaTeX -% SVJour2 document class for Springer journals -% -%% -%% -%% \CharacterTable -%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z -%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z -%% Digits \0\1\2\3\4\5\6\7\8\9 -%% Exclamation \! 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\setlength\oddsidemargin {-30\p@} - \setlength\evensidemargin{-30\p@} -\else - \setlength\oddsidemargin {\z@} - \setlength\evensidemargin{\z@} -\fi -\setlength\marginparwidth {48\p@} -\setlength\footnotesep{8\p@} -\setlength{\skip\footins}{9\p@ \@plus 4\p@ \@minus 2\p@} -\setlength\floatsep {12\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\textfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@} -\setlength\intextsep {20\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\dblfloatsep {12\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\dbltextfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@} -\setlength\@fptop{0\p@} -\setlength\@fpsep{12\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\@fpbot{0\p@ \@plus 1fil} -\setlength\@dblfptop{0\p@} -\setlength\@dblfpsep{12\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\@dblfpbot{0\p@ \@plus 1fil} -\setlength\partopsep{2\p@ \@plus 1\p@ \@minus 1\p@} -\def\@listi{\leftmargin\leftmargini - \parsep \z@ - \topsep 6\p@ \@plus2\p@ \@minus4\p@ - \itemsep\parsep} -\let\@listI\@listi -\@listi -\def\@listii {\leftmargin\leftmarginii - \labelwidth\leftmarginii - \advance\labelwidth-\labelsep - \topsep \z@ - \parsep \topsep - \itemsep \parsep} -\def\@listiii{\leftmargin\leftmarginiii - \labelwidth\leftmarginiii - \advance\labelwidth-\labelsep - \topsep \z@ - \parsep \topsep - \itemsep \parsep} -\def\@listiv {\leftmargin\leftmarginiv - \labelwidth\leftmarginiv - \advance\labelwidth-\labelsep} -\def\@listv {\leftmargin\leftmarginv - \labelwidth\leftmarginv - \advance\labelwidth-\labelsep} -\def\@listvi {\leftmargin\leftmarginvi - \labelwidth\leftmarginvi - \advance\labelwidth-\labelsep} -% -\setlength\lineskip{1\p@} -\setlength\normallineskip{1\p@} -\renewcommand\baselinestretch{} -\setlength\parskip{0\p@ \@plus \p@} -\@lowpenalty 51 -\@medpenalty 151 -\@highpenalty 301 -\setcounter{topnumber}{4} -\renewcommand\topfraction{.9} -\setcounter{bottomnumber}{2} -\renewcommand\bottomfraction{.7} -\setcounter{totalnumber}{6} -\renewcommand\textfraction{.1} -\renewcommand\floatpagefraction{.85} -\setcounter{dbltopnumber}{3} -\renewcommand\dbltopfraction{.85} -\renewcommand\dblfloatpagefraction{.85} -\def\ps@headings{% - \let\@oddfoot\@empty\let\@evenfoot\@empty - \def\@evenhead{\small\csname runheadhook\endcsname - \rlap{\thepage}\hfil\leftmark\unskip}% - \def\@oddhead{\small\csname runheadhook\endcsname - \ignorespaces\rightmark\hfil\llap{\thepage}}% - \let\@mkboth\@gobbletwo - \let\sectionmark\@gobble - \let\subsectionmark\@gobble - } -% make indentations changeable -\def\setitemindent#1{\settowidth{\labelwidth}{#1}% - \leftmargini\labelwidth - \advance\leftmargini\labelsep - \def\@listi{\leftmargin\leftmargini - \labelwidth\leftmargini\advance\labelwidth by -\labelsep - \parsep=\parskip - \topsep=\medskipamount - \itemsep=\parskip \advance\itemsep by -\parsep}} -\def\setitemitemindent#1{\settowidth{\labelwidth}{#1}% - \leftmarginii\labelwidth - \advance\leftmarginii\labelsep -\def\@listii{\leftmargin\leftmarginii - \labelwidth\leftmarginii\advance\labelwidth by -\labelsep - \parsep=\parskip - \topsep=\z@ - \itemsep=\parskip \advance\itemsep by -\parsep}} -% labels of description -\def\descriptionlabel#1{\hspace\labelsep #1\hfil} -% adjusted environment "description" -% if an optional parameter (at the first two levels of lists) -% is present, its width is considered to be the widest mark -% throughout the current list. -\def\description{\@ifnextchar[{\@describe}{\list{}{\labelwidth\z@ - \itemindent-\leftmargin \let\makelabel\descriptionlabel}}} -\let\enddescription\endlist -% -\def\describelabel#1{#1\hfil} -\def\@describe[#1]{\relax\ifnum\@listdepth=0 -\setitemindent{#1}\else\ifnum\@listdepth=1 -\setitemitemindent{#1}\fi\fi -\list{--}{\let\makelabel\describelabel}} -% -\newdimen\logodepth -\logodepth=1.2cm -\newdimen\headerboxheight -\headerboxheight=180pt % 18 10.5dd-lines - 2\baselineskip -\advance\headerboxheight by-14.5mm -\newdimen\betweenumberspace % dimension for space between -\betweenumberspace=3.33pt % number and text of titles. -\newdimen\aftertext % dimension for space after -\aftertext=5pt % text of title. -\newdimen\headlineindent % dimension for space between -\headlineindent=1.166cm % number and text of headings. -\if@mathematic - \def\runinend{} % \enspace} - \def\floatcounterend{\enspace} - \def\sectcounterend{} -\else - \def\runinend{.} - \def\floatcounterend{.\ } - \def\sectcounterend{.} -\fi -\def\email#1{\emailname: #1} -\def\keywords#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm -\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ -}\noindent\keywordname\enspace\ignorespaces#1\par}} -% -\def\subclassname{{\bfseries Mathematics Subject Classification -(2000)}\enspace} -\def\subclass#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm -\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ -}\noindent\subclassname\ignorespaces#1\par}} -% -\def\PACSname{\textbf{PACS}\enspace} -\def\PACS#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm -\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ -}\noindent\PACSname\ignorespaces#1\par}} -% -\def\CRclassname{{\bfseries CR Subject Classification}\enspace} -\def\CRclass#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm -\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ -}\noindent\CRclassname\ignorespaces#1\par}} -% -\def\ESMname{\textbf{Electronic Supplementary Material}\enspace} -\def\ESM#1{\par\addvspace\medskipamount -\noindent\ESMname\ignorespaces#1\par} -% -\newcounter{inst} -\newcounter{auth} -\def\authdepth{2} -\newdimen\instindent -\newbox\authrun -\newtoks\authorrunning -\newbox\titrun -\newtoks\titlerunning -\def\authorfont{\bfseries} - -\def\combirunning#1{\gdef\@combi{#1}} -\def\@combi{} -\newbox\combirun -% -\def\ps@last{\def\@evenhead{\small\rlap{\thepage}\hfil -\lastevenhead}} -\newcounter{lastpage} -\def\islastpageeven{\@ifundefined{lastpagenumber} -{\setcounter{lastpage}{0}}{\setcounter{lastpage}{\lastpagenumber}} -\ifnum\value{lastpage}>0 - \ifodd\value{lastpage}% - \else - \if@smartrunh - \thispagestyle{last}% - \fi - \fi -\fi} -\def\getlastpagenumber{\clearpage -\addtocounter{page}{-1}% - \immediate\write\@auxout{\string\gdef\string\lastpagenumber{\thepage}}% - \immediate\write\@auxout{\string\newlabel{LastPage}{{}{\thepage}}}% - \addtocounter{page}{1}} - -\def\journalname#1{\gdef\@journalname{#1}} - -\def\dedication#1{\gdef\@dedic{#1}} -\def\@dedic{} - -\let\@date\undefined -\def\notused{~} - -\def\institute#1{\gdef\@institute{#1}} - -\def\offprints#1{\begingroup -\def\protect{\noexpand\protect\noexpand}\xdef\@thanks{\@thanks -\protect\footnotetext[0]{\unskip\hskip-15pt{\itshape Send offprint requests -to\/}: \ignorespaces#1}}\endgroup\ignorespaces} - -%\def\mail#1{\gdef\@mail{#1}} -%\def\@mail{} - -\def\@thanks{} - -\def\@fnsymbol#1{\ifcase#1\or\star\or{\star\star}\or{\star\star\star}% - \or \dagger\or \ddagger\or - \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger - \or \ddagger\ddagger \else\@ctrerr\fi\relax} -% -%\def\invthanks#1{\footnotetext[0]{\kern-\bibindent#1}} -% -\def\nothanksmarks{\def\thanks##1{\protected@xdef\@thanks{\@thanks - \protect\footnotetext[0]{\kern-\bibindent##1}}}} -% -\def\subtitle#1{\gdef\@subtitle{#1}} -\def\@subtitle{} - -\def\headnote#1{\gdef\@headnote{#1}} -\def\@headnote{} - -\def\papertype#1{\gdef\paper@type{\MakeUppercase{#1}}} -\def\paper@type{} - -\def\ch@ckobl#1#2{\@ifundefined{@#1} - {\typeout{SVJour2 warning: Missing -\expandafter\string\csname#1\endcsname}% - \csname #1\endcsname{#2}} - {}} -% -\def\ProcessRunnHead{% - \def\\{\unskip\ \ignorespaces}% - \def\thanks##1{\unskip{}}% - \instindent=\textwidth - \advance\instindent by-\headlineindent - \if!\the\titlerunning!\else - \edef\@title{\the\titlerunning}% - \fi - \global\setbox\titrun=\hbox{\small\rmfamily\unboldmath\ignorespaces\@title - \unskip}% - \ifdim\wd\titrun>\instindent - \typeout{^^JSVJour2 Warning: Title too long for running head.}% - \typeout{Please supply a shorter form with \string\titlerunning - \space prior to \string\maketitle}% - \global\setbox\titrun=\hbox{\small\rmfamily - Title Suppressed Due to Excessive Length}% - \fi - \xdef\@title{\copy\titrun}% -% - \if!\the\authorrunning! - \else - \setcounter{auth}{1}% - \edef\@author{\the\authorrunning}% - \fi - \ifnum\value{inst}>\authdepth - \def\stripauthor##1\and##2\endauthor{% - \protected@xdef\@author{##1\unskip\unskip\if!##2!\else\ et al.\fi}}% - \expandafter\stripauthor\@author\and\endauthor - \else - \gdef\and{\unskip, \ignorespaces}% - {\def\and{\noexpand\protect\noexpand\and}% - \protected@xdef\@author{\@author}} - \fi - \global\setbox\authrun=\hbox{\small\rmfamily\unboldmath\ignorespaces - \@author\unskip}% - \ifdim\wd\authrun>\instindent - \typeout{^^JSVJour2 Warning: Author name(s) too long for running head. - 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{\mbox{\boldmath$\displaystyle#1$}} - {\mbox{\boldmath$\textstyle#1$}} - {\mbox{\boldmath$\scriptstyle#1$}} - {\mbox{\boldmath$\scriptscriptstyle#1$}}}} -\fi -% -\def\tens#1{\ensuremath{\mathsf{#1}}} -% -\setcounter{secnumdepth}{3} -\newcounter {section} -\newcounter {subsection}[section] -\newcounter {subsubsection}[subsection] -\newcounter {paragraph}[subsubsection] -\newcounter {subparagraph}[paragraph] -\renewcommand\thesection {\@arabic\c@section} -\renewcommand\thesubsection {\thesection.\@arabic\c@subsection} -\renewcommand\thesubsubsection{\thesubsection.\@arabic\c@subsubsection} -\renewcommand\theparagraph {\thesubsubsection.\@arabic\c@paragraph} -\renewcommand\thesubparagraph {\theparagraph.\@arabic\c@subparagraph} -% -\def\@hangfrom#1{\setbox\@tempboxa\hbox{#1}% - \hangindent \z@\noindent\box\@tempboxa} -% -\def\@seccntformat#1{\csname the#1\endcsname\sectcounterend -\hskip\betweenumberspace} -% -\newif\if@sectrule -\if@twocolumn\else\let\@sectruletrue=\relax\fi -\if@avier\let\@sectruletrue=\relax\fi -\def\makesectrule{\if@sectrule\global\@sectrulefalse\null\vglue-\topskip -\hrule\nobreak\parskip=5pt\relax\fi} -% -\let\makesectruleori=\makesectrule -\def\restoresectrule{\global\let\makesectrule=\makesectruleori\global\@sectrulefalse} -\def\nosectrule{\let\makesectrule=\restoresectrule} -% -\def\@startsection#1#2#3#4#5#6{% - \if@noskipsec \leavevmode \fi - \par - \@tempskipa #4\relax - \@afterindenttrue - \ifdim \@tempskipa <\z@ - \@tempskipa -\@tempskipa \@afterindentfalse - \fi - \if@nobreak - \everypar{}% - \else - \addpenalty\@secpenalty\addvspace\@tempskipa - \fi - \ifnum#2=1\relax\@sectruletrue\fi - \@ifstar - {\@ssect{#3}{#4}{#5}{#6}}% - {\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}} -% -\def\@sect#1#2#3#4#5#6[#7]#8{% - \ifnum #2>\c@secnumdepth - \let\@svsec\@empty - \else - \refstepcounter{#1}% - \protected@edef\@svsec{\@seccntformat{#1}\relax}% - \fi - \@tempskipa #5\relax - \ifdim \@tempskipa>\z@ - \begingroup - #6{\makesectrule - \@hangfrom{\hskip #3\relax\@svsec}% - \raggedright - \hyphenpenalty \@M% - \interlinepenalty \@M #8\@@par}% - \endgroup - \csname #1mark\endcsname{#7}% - \addcontentsline{toc}{#1}{% - \ifnum #2>\c@secnumdepth \else - \protect\numberline{\csname the#1\endcsname\sectcounterend}% - \fi - #7}% - \else - \def\@svsechd{% - #6{\hskip #3\relax - \@svsec #8\/\hskip\aftertext}% - \csname #1mark\endcsname{#7}% - \addcontentsline{toc}{#1}{% - \ifnum #2>\c@secnumdepth \else - \protect\numberline{\csname the#1\endcsname}% - \fi - #7}}% - \fi - \@xsect{#5}} -% -\def\@ssect#1#2#3#4#5{% - \@tempskipa #3\relax - \ifdim \@tempskipa>\z@ - \begingroup - #4{\makesectrule - \@hangfrom{\hskip #1}% - \interlinepenalty \@M #5\@@par}% - \endgroup - \else - \def\@svsechd{#4{\hskip #1\relax #5}}% - \fi - \@xsect{#3}} - -% -% measures and setting of sections -% -\def\section{\@startsection{section}{1}{\z@}% - {-21dd plus-8pt minus-4pt}{10.5dd} - {\normalsize\bfseries\boldmath}} -\def\subsection{\@startsection{subsection}{2}{\z@}% - {-21dd plus-8pt minus-4pt}{10.5dd} - {\normalsize\upshape}} -\def\subsubsection{\@startsection{subsubsection}{3}{\z@}% - {-13dd plus-8pt minus-4pt}{10.5dd} - {\normalsize\itshape}} -\def\paragraph{\@startsection{paragraph}{4}{\z@}% - {-13pt plus-8pt minus-4pt}{\z@}{\normalsize\itshape}} - -\setlength\leftmargini {\parindent} -\leftmargin \leftmargini -\setlength\leftmarginii {\parindent} -\setlength\leftmarginiii {1.87em} -\setlength\leftmarginiv {1.7em} -\setlength\leftmarginv {.5em} -\setlength\leftmarginvi {.5em} -\setlength \labelsep {.5em} -\setlength \labelwidth{\leftmargini} -\addtolength\labelwidth{-\labelsep} -\@beginparpenalty -\@lowpenalty -\@endparpenalty -\@lowpenalty -\@itempenalty -\@lowpenalty -\renewcommand\theenumi{\@arabic\c@enumi} -\renewcommand\theenumii{\@alph\c@enumii} -\renewcommand\theenumiii{\@roman\c@enumiii} -\renewcommand\theenumiv{\@Alph\c@enumiv} -\newcommand\labelenumi{\theenumi.} -\newcommand\labelenumii{(\theenumii)} -\newcommand\labelenumiii{\theenumiii.} -\newcommand\labelenumiv{\theenumiv.} -\renewcommand\p@enumii{\theenumi} -\renewcommand\p@enumiii{\theenumi(\theenumii)} -\renewcommand\p@enumiv{\p@enumiii\theenumiii} -\newcommand\labelitemi{\normalfont\bfseries --} -\newcommand\labelitemii{\normalfont\bfseries --} -\newcommand\labelitemiii{$\m@th\bullet$} -\newcommand\labelitemiv{$\m@th\cdot$} - -\if@spthms -% definition of the "\spnewtheorem" command. -% -% Usage: -% -% \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font} -% or \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font} -% or \spnewtheorem*{env_nam}{caption}{cap_font}{body_font} -% -% New is "cap_font" and "body_font". It stands for -% fontdefinition of the caption and the text itself. -% -% "\spnewtheorem*" gives a theorem without number. -% -% A defined spnewthoerem environment is used as described -% by Lamport. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\def\@thmcountersep{} -\def\@thmcounterend{} -\newcommand\nocaption{\noexpand\@gobble} -\newdimen\spthmsep \spthmsep=5pt - -\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}} - -% definition of \spnewtheorem with number - -\def\@spnthm#1#2{% - \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}} -\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}} - -\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname - {\@definecounter{#1}\@addtoreset{#1}{#3}% - \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand - \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}% - \expandafter\xdef\csname #1name\endcsname{#2}% - \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}% - \global\@namedef{end#1}{\@endtheorem}}} - -\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname - {\@definecounter{#1}% - \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}% - \expandafter\xdef\csname #1name\endcsname{#2}% - \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}% - \global\@namedef{end#1}{\@endtheorem}}} - -\def\@spothm#1[#2]#3#4#5{% - \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}% - {\expandafter\@ifdefinable\csname #1\endcsname - {\global\@namedef{the#1}{\@nameuse{the#2}}% - \expandafter\xdef\csname #1name\endcsname{#3}% - \global\@namedef{#1}{\@spthm{#2}{\csname #1name\endcsname}{#4}{#5}}% - \global\@namedef{end#1}{\@endtheorem}}}} - -\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@ -\labelsep=\spthmsep\refstepcounter{#1}% -\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}} - -\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}% - \ignorespaces} - -\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname - the#1\endcsname}{#5}{#3}{#4}\ignorespaces} - -\def\normalthmheadings{\def\@spbegintheorem##1##2##3##4{\trivlist\normalfont - \item[\hskip\labelsep{##3##1\ ##2\@thmcounterend}]##4} -\def\@spopargbegintheorem##1##2##3##4##5{\trivlist - \item[\hskip\labelsep{##4##1\ ##2}]{##4(##3)\@thmcounterend\ }##5}} -\normalthmheadings - -\def\reversethmheadings{\def\@spbegintheorem##1##2##3##4{\trivlist\normalfont - \item[\hskip\labelsep{##3##2\ ##1\@thmcounterend}]##4} -\def\@spopargbegintheorem##1##2##3##4##5{\trivlist - \item[\hskip\labelsep{##4##2\ ##1}]{##4(##3)\@thmcounterend\ }##5}} - -% definition of \spnewtheorem* without number - -\def\@sthm#1#2{\@Ynthm{#1}{#2}} - -\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname - {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}% - \expandafter\xdef\csname #1name\endcsname{#2}% - \global\@namedef{end#1}{\@endtheorem}}} - -\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@ -\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}} - -\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces} - -\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1} - {#4}{#2}{#3}\ignorespaces} - -\def\@Begintheorem#1#2#3{#3\trivlist - \item[\hskip\labelsep{#2#1\@thmcounterend}]} - -\def\@Opargbegintheorem#1#2#3#4{#4\trivlist - \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }} - -% initialize theorem environment - -\if@envcntsect - \def\@thmcountersep{.} - \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape} -\else - \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape} - \if@envcntreset - \@addtoreset{theorem}{section} - \else - \@addtoreset{theorem}{chapter} - \fi -\fi - -%definition of divers theorem environments -\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily} -\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily} -\if@envcntsame % all environments like "Theorem" - using its counter - \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}} -\else % all environments with their own counter - \if@envcntsect % show section counter - \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}} - \else % not numbered with section - \if@envcntreset - \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4} - \@addtoreset{#1}{section}} - \else - \let\spn@wtheorem=\@spynthm - \fi - \fi -\fi -% -\let\spdefaulttheorem=\spn@wtheorem -% -\spn@wtheorem{case}{Case}{\itshape}{\rmfamily} -\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily} -\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape} -\spn@wtheorem{definition}{Definition}{\bfseries}{\rmfamily} -\spn@wtheorem{example}{Example}{\itshape}{\rmfamily} -\spn@wtheorem{exercise}{Exercise}{\bfseries}{\rmfamily} -\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape} -\spn@wtheorem{note}{Note}{\itshape}{\rmfamily} -\spn@wtheorem{problem}{Problem}{\bfseries}{\rmfamily} -\spn@wtheorem{property}{Property}{\itshape}{\rmfamily} -\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape} -\spn@wtheorem{question}{Question}{\itshape}{\rmfamily} -\spn@wtheorem{solution}{Solution}{\bfseries}{\rmfamily} -\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily} -% -\newenvironment{theopargself} - {\def\@spopargbegintheorem##1##2##3##4##5{\trivlist - \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5} - \def\@Opargbegintheorem##1##2##3##4{##4\trivlist - \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }}}{} -\newenvironment{theopargself*} - {\def\@spopargbegintheorem##1##2##3##4##5{\trivlist - \item[\hskip\labelsep{##4##1\ ##2}]{\hspace*{-\labelsep}##4##3\@thmcounterend}##5} - \def\@Opargbegintheorem##1##2##3##4{##4\trivlist - \item[\hskip\labelsep{##3##1}]{\hspace*{-\labelsep}##3##2\@thmcounterend}}}{} -% -\fi - -\def\@takefromreset#1#2{% - \def\@tempa{#1}% - \let\@tempd\@elt - \def\@elt##1{% - \def\@tempb{##1}% - \ifx\@tempa\@tempb\else - \@addtoreset{##1}{#2}% - \fi}% - \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname - \expandafter\def\csname cl@#2\endcsname{}% - \@tempc - \let\@elt\@tempd} - -\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}} -\def\qed{\ifmmode\else\unskip\quad\fi\squareforqed} -\def\smartqed{\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil -\penalty50\hskip1em\null\nobreak\hfil\squareforqed -\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}} - -% Define `abstract' environment -\def\abstract{\topsep=0pt\partopsep=0pt\parsep=0pt\itemsep=0pt\relax -\trivlist\item[\hskip\labelsep -{\bfseries\abstractname}]\if!\abstractname!\hskip-\labelsep\fi} -\if@twocolumn - \if@avier - \def\endabstract{\endtrivlist\addvspace{5mm}\strich} - \def\strich{\hrule\vskip1ptplus12pt} - \else - \def\endabstract{\endtrivlist\addvspace{3mm}} - \fi -\else -\fi -% -\newenvironment{verse} - {\let\\\@centercr - \list{}{\itemsep \z@ - \itemindent -1.5em% - \listparindent\itemindent - \rightmargin \leftmargin - \advance\leftmargin 1.5em}% - \item\relax} - {\endlist} -\newenvironment{quotation} - {\list{}{\listparindent 1.5em% - \itemindent \listparindent - \rightmargin \leftmargin - \parsep \z@ \@plus\p@}% - \item\relax} - {\endlist} -\newenvironment{quote} - {\list{}{\rightmargin\leftmargin}% - \item\relax} - {\endlist} -\newcommand\appendix{\par\small - \setcounter{section}{0}% - \setcounter{subsection}{0}% - \renewcommand\thesection{\@Alph\c@section}} -\setlength\arraycolsep{1.5\p@} -\setlength\tabcolsep{6\p@} -\setlength\arrayrulewidth{.4\p@} -\setlength\doublerulesep{2\p@} -\setlength\tabbingsep{\labelsep} -\skip\@mpfootins = \skip\footins -\setlength\fboxsep{3\p@} -\setlength\fboxrule{.4\p@} -\renewcommand\theequation{\@arabic\c@equation} -\newcounter{figure} -\renewcommand\thefigure{\@arabic\c@figure} -\def\fps@figure{tbp} -\def\ftype@figure{1} -\def\ext@figure{lof} -\def\fnum@figure{\figurename~\thefigure} -\newenvironment{figure} - {\@float{figure}} - {\end@float} -\newenvironment{figure*} - {\@dblfloat{figure}} - {\end@dblfloat} -\newcounter{table} -\renewcommand\thetable{\@arabic\c@table} -\def\fps@table{tbp} -\def\ftype@table{2} -\def\ext@table{lot} -\def\fnum@table{\tablename~\thetable} -\newenvironment{table} - {\@float{table}} - {\end@float} -\newenvironment{table*} - {\@dblfloat{table}} - {\end@dblfloat} -% -\def \@floatboxreset {% - \reset@font - \small - \@setnobreak - \@setminipage -} -% -\newcommand{\tableheadseprule}{\noalign{\hrule height.375mm}} -% -\newlength\abovecaptionskip -\newlength\belowcaptionskip -\setlength\abovecaptionskip{10\p@} -\setlength\belowcaptionskip{0\p@} -\newcommand\leftlegendglue{} - -\def\fig@type{figure} - -\newdimen\figcapgap\figcapgap=3pt -\newdimen\tabcapgap\tabcapgap=5.5pt - -\@ifundefined{floatlegendstyle}{\def\floatlegendstyle{\bfseries}}{} - -\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname - ext@#1\endcsname}{#1}{\protect\numberline{\csname - the#1\endcsname}{\ignorespaces #2}}\begingroup - \@parboxrestore - \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par - \endgroup} - -\def\capstrut{\vrule\@width\z@\@height\topskip} - -\@ifundefined{captionstyle}{\def\captionstyle{\normalfont\small}}{} - -\long\def\@makecaption#1#2{% - \captionstyle - \ifx\@captype\fig@type - \vskip\figcapgap - \fi - \setbox\@tempboxa\hbox{{\floatlegendstyle #1\floatcounterend}% - \capstrut #2}% - \ifdim \wd\@tempboxa >\hsize - {\floatlegendstyle #1\floatcounterend}\capstrut #2\par - \else - \hbox to\hsize{\leftlegendglue\unhbox\@tempboxa\hfil}% - \fi - \ifx\@captype\fig@type\else - \vskip\tabcapgap - \fi} - -\newdimen\figgap\figgap=1cc -\long\def\@makesidecaption#1#2{% - \parbox[b]{\@tempdimb}{\captionstyle{\floatlegendstyle - #1\floatcounterend}#2}} -\def\sidecaption#1\caption{% -\setbox\@tempboxa=\hbox{#1\unskip}% -\if@twocolumn - \ifdim\hsize<\textwidth\else - \ifdim\wd\@tempboxa<\columnwidth - \typeout{Double column float fits into single column - - ^^Jyou'd better switch the environment. }% - \fi - \fi -\fi -\@tempdimb=\hsize -\advance\@tempdimb by-\figgap -\advance\@tempdimb by-\wd\@tempboxa -\ifdim\@tempdimb<3cm - \typeout{\string\sidecaption: No sufficient room for the legend; - using normal \string\caption. }% - \unhbox\@tempboxa - \let\@capcommand=\@caption -\else - \let\@capcommand=\@sidecaption - \leavevmode - \unhbox\@tempboxa - \hfill -\fi -\refstepcounter\@captype -\@dblarg{\@capcommand\@captype}} - -\long\def\@sidecaption#1[#2]#3{\addcontentsline{\csname - ext@#1\endcsname}{#1}{\protect\numberline{\csname - the#1\endcsname}{\ignorespaces #2}}\begingroup - \@parboxrestore - \@makesidecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par - \endgroup} - -% Define `acknowledgement' environment -\def\acknowledgement{\par\addvspace{17pt}\small\rmfamily -\trivlist\if!\ackname!\item[]\else -\item[\hskip\labelsep -{\bfseries\ackname}]\fi} -\def\endacknowledgement{\endtrivlist\addvspace{6pt}} -\newenvironment{acknowledgements}{\begin{acknowledgement}} -{\end{acknowledgement}} -% Define `noteadd' environment -\def\noteadd{\par\addvspace{17pt}\small\rmfamily -\trivlist\item[\hskip\labelsep -{\itshape\noteaddname}]} -\def\endnoteadd{\endtrivlist\addvspace{6pt}} - -\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm} -\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf} -\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt} -\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf} -\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit} -\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl} -\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc} -\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal} -\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal} -\newcommand\@pnumwidth{1.55em} -\newcommand\@tocrmarg{2.55em} -\newcommand\@dotsep{4.5} -\setcounter{tocdepth}{1} -\newcommand\tableofcontents{% - \section*{\contentsname}% - \@starttoc{toc}% - \addtocontents{toc}{\begingroup\protect\small}% - \AtEndDocument{\addtocontents{toc}{\endgroup}}% - } -\newcommand*\l@part[2]{% - \ifnum \c@tocdepth >-2\relax - \addpenalty\@secpenalty - \addvspace{2.25em \@plus\p@}% - \begingroup - \setlength\@tempdima{3em}% - \parindent \z@ \rightskip \@pnumwidth - \parfillskip -\@pnumwidth - {\leavevmode - \large \bfseries #1\hfil \hb@xt@\@pnumwidth{\hss #2}}\par - \nobreak - \if@compatibility - \global\@nobreaktrue - \everypar{\global\@nobreakfalse\everypar{}}% - \fi - \endgroup - \fi} -\newcommand*\l@section{\@dottedtocline{1}{0pt}{1.5em}} -\newcommand*\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}} -\newcommand*\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}} -\newcommand*\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}} -\newcommand*\l@subparagraph{\@dottedtocline{5}{10em}{5em}} -\newcommand\listoffigures{% - \section*{\listfigurename - \@mkboth{\listfigurename}% - {\listfigurename}}% - \@starttoc{lof}% - } -\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}} -\newcommand\listoftables{% - \section*{\listtablename - \@mkboth{\listtablename}{\listtablename}}% - \@starttoc{lot}% - } -\let\l@table\l@figure -\newdimen\bibindent -\setlength\bibindent{\parindent} -\def\@biblabel#1{#1.} -\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw - {\let\protect\noexpand - \immediate - \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces} -\newenvironment{thebibliography}[1] - {\section*{\refname - \@mkboth{\refname}{\refname}}\small - \list{\@biblabel{\@arabic\c@enumiv}}% - {\settowidth\labelwidth{\@biblabel{#1}}% - \leftmargin\labelwidth - \advance\leftmargin\labelsep - \@openbib@code - \usecounter{enumiv}% - \let\p@enumiv\@empty - \renewcommand\theenumiv{\@arabic\c@enumiv}}% - \sloppy\clubpenalty4000\widowpenalty4000% - \sfcode`\.\@m} - {\def\@noitemerr - {\@latex@warning{Empty `thebibliography' environment}}% - \endlist} -% -\newcount\@tempcntc -\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi - \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do - {\@ifundefined - {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries - ?}\@warning - {Citation `\@citeb' on page \thepage \space undefined}}% - {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}% - \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne - \@citea\def\@citea{,\hskip0.1em\ignorespaces}\hbox{\csname b@\@citeb\endcsname}% - \else - \advance\@tempcntb\@ne - \ifnum\@tempcntb=\@tempcntc - \else\advance\@tempcntb\m@ne\@citeo - \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}} -\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else - \@citea\def\@citea{,\hskip0.1em\ignorespaces}% - \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else - {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else \def\@citea{--}\fi - \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi} -% -\newcommand\newblock{\hskip .11em\@plus.33em\@minus.07em} -\let\@openbib@code\@empty -\newenvironment{theindex} - {\if@twocolumn - \@restonecolfalse - \else - \@restonecoltrue - \fi - \columnseprule \z@ - \columnsep 35\p@ - \twocolumn[\section*{\indexname}]% - \@mkboth{\indexname}{\indexname}% - \thispagestyle{plain}\parindent\z@ - \parskip\z@ \@plus .3\p@\relax - \let\item\@idxitem} - {\if@restonecol\onecolumn\else\clearpage\fi} -\newcommand\@idxitem{\par\hangindent 40\p@} -\newcommand\subitem{\@idxitem \hspace*{20\p@}} -\newcommand\subsubitem{\@idxitem \hspace*{30\p@}} -\newcommand\indexspace{\par \vskip 10\p@ \@plus5\p@ \@minus3\p@\relax} - -\if@twocolumn - \renewcommand\footnoterule{% - \kern-3\p@ - \hrule\@width\columnwidth - \kern2.6\p@} -\else - \renewcommand\footnoterule{% - \kern-3\p@ - \hrule\@width.382\columnwidth - \kern2.6\p@} -\fi -\newcommand\@makefntext[1]{% - \noindent - \hb@xt@\bibindent{\hss\@makefnmark\enspace}#1} -% -\def\trans@english{\switcht@albion} -\def\trans@french{\switcht@francais} -\def\trans@german{\switcht@deutsch} -\newenvironment{translation}[1]{\if!#1!\else -\@ifundefined{selectlanguage}{\csname trans@#1\endcsname}{\selectlanguage{#1}}% -\fi}{} -% languages -% English section -\def\switcht@albion{%\typeout{English spoken.}% - \def\abstractname{Abstract}% - \def\ackname{Acknowledgements}% - \def\andname{and}% - \def\lastandname{, and}% - \def\appendixname{Appendix}% - \def\chaptername{Chapter}% - \def\claimname{Claim}% - \def\conjecturename{Conjecture}% - \def\contentsname{Contents}% - \def\corollaryname{Corollary}% - \def\definitionname{Definition}% - \def\emailname{E-mail}% - \def\examplename{Example}% - 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Delete % as needed. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% First comes an example EPS file -- just ignore it and -% proceed on the \documentclass line -% your LaTeX will extract the file if required -%\begin{filecontents*}{figs/minimalperfecthash-ph-mph.ps} -%!PS-Adobe-3.0 EPSF-3.0 -%%BoundingBox: 19 19 221 221 -%%CreationDate: Mon Sep 29 1997 -%%Creator: programmed by hand (JK) -%%EndComments -%gsave -%newpath -% 20 20 moveto -% 20 220 lineto -% 220 220 lineto -% 220 20 lineto -%closepath -%2 setlinewidth -%gsave -% .4 setgray fill -%grestore -%stroke -%grestore -%\end{filecontents*} -% -\documentclass[twocolumn,fleqn,runningheads]{svjour2} -% -\smartqed % flush right qed marks, e.g. at end of proof -% -\usepackage{graphicx} -\usepackage{listings} -% -% \usepackage{mathptmx} % use Times fonts if available on your TeX system -% -% insert here the call for the packages your document requires -%\usepackage{latexsym} -% etc. -% -% please place your own definitions here and don't use \def but -% \newcommand{}{} -% - -\lstset{ - language=Pascal, - basicstyle=\fontsize{9}{9}\selectfont, - captionpos=t, - aboveskip=1mm, - belowskip=1mm, - abovecaptionskip=1mm, - belowcaptionskip=1mm, -% numbers = left, - mathescape=true, - escapechar=@, - extendedchars=true, - showstringspaces=false, - columns=fixed, - basewidth=0.515em, - frame=single, - framesep=2mm, - xleftmargin=2mm, - xrightmargin=2mm, - framerule=0.5pt -} - -\def\cG{{\mathcal G}} -\def\crit{{\rm crit}} -\def\ncrit{{\rm ncrit}} -\def\scrit{{\rm scrit}} -\def\bedges{{\rm bedges}} -\def\ZZ{{\mathbb Z}} - -\journalname{The VLDB Journal} -% -\begin{document} - -\title{Minimal Perfect Hash Functions: New Algorithms and Applications\thanks{ -This work was supported in part by -GERINDO Project--grant MCT/CNPq/CT-INFO 552.087/02-5, -CAPES/PROF Scholarship (Fabiano C. Botelho), -FAPESP Proj.\ Tem.\ 03/09925-5 and CNPq Grant 30.0334/93-1 -(Yoshiharu Kohayakawa), -and CNPq Grant 30.5237/02-0 (Nivio Ziviani).} -} -%\subtitle{Do you have a subtitle?\\ If so, write it here} - -%\titlerunning{Short form of title} % if too long for running head - -\author{Fabiano C. Botelho \and Davi C. Reis \and Yoshiharu Kohayakawa \and Nivio Ziviani} -%\authorrunning{Short form of author list} % if too long for running head -\institute{ -F. C. Botelho \and -N. Ziviani \at -Dept. of Computer Science, -Federal Univ. of Minas Gerais, -Belo Horizonte, Brazil\\ -\email{\{fbotelho,nivio\}@dcc.ufmg.br} -\and -D. C. Reis \at -Google, Brazil \\ -\email{davi.reis@gmail.com} -\and -Y. Kohayakawa -Dept. of Computer Science, -Univ. of S\~ao Paulo, -S\~ao Paulo, Brazil\\ -\email{yoshi@ime.usp.br} -} - -\date{Received: date / Accepted: date} -% The correct dates will be entered by the editor - - -\maketitle - -\begin{abstract} -Insert your abstract here. Include up to five keywords. -\keywords{First keyword \and Second keyword \and More} -\end{abstract} - -% main text -\input{introduction} -\input{relatedwork} -\input{algorithms} -\input{experimentalresults} -\input{applications} -\input{conclusions} - - -%\begin{acknowledgements} -%If you'd like to thank anyone, place your comments here -%and remove the percent signs. -%\end{acknowledgements} - -% BibTeX users please use -%\bibliographystyle{spmpsci} -%\bibliography{} % name your BibTeX data base -\bibliographystyle{plain} -\bibliography{references} -\end{document} diff --git a/vldb/pt/algorithms.tex b/vldb/pt/algorithms.tex deleted file mode 100755 index 0ae2e7b..0000000 --- a/vldb/pt/algorithms.tex +++ /dev/null @@ -1,19 +0,0 @@ -\section{Os Algoritmos} -\label{sec:thealgorithm} -Nesta se\c{c}\~ao apresentamos \cite{bkz05} -\subsection{Um Algoritmo Baseado em Mem\'oria Principal} - -\subsection{Um Algoritmo Baseado em Mem\'oria Externa} -% For two-column wide figures use -\begin{figure} -% Use the relevant command to insert your figure file. -% For example, with the graphicx package use -\centering - \includegraphics{figs/brz.ps} -% figure caption is below the figure -\caption{Main steps of the new algorithm.} -\label{fig:new-algo-main-steps} -\end{figure} - -\subsubsection{Segmenta\c{c}\~ao} -\subsubsection{Espalhamento} diff --git a/vldb/pt/applications.tex b/vldb/pt/applications.tex deleted file mode 100644 index 785ccc0..0000000 --- a/vldb/pt/applications.tex +++ /dev/null @@ -1,2 +0,0 @@ -\section{Aplica\c{c}\~oes} -\label{sec:applications} \ No newline at end of file diff --git a/vldb/pt/conclusions.tex b/vldb/pt/conclusions.tex deleted file mode 100755 index 08f3cd4..0000000 --- a/vldb/pt/conclusions.tex +++ /dev/null @@ -1,3 +0,0 @@ -\section{Conclus\~oes} - - diff --git a/vldb/pt/experimentalresults.tex b/vldb/pt/experimentalresults.tex deleted file mode 100755 index 5152c0e..0000000 --- a/vldb/pt/experimentalresults.tex +++ /dev/null @@ -1 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1 -1 sc (2) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --2340 4365 m -gs 1 -1 sc (1) col0 sh gr -% Polyline -gs clippath --2073 5050 m -1986 5117 l -1949 5070 l -2037 5002 l -2037 5002 l -1996 5072 l -2073 5050 l cp -eoclip -n -2565 4635 m - -1980 5085 l gs col0 s gr gr - -% arrowhead -n -2073 5050 m -1996 5072 l -2037 5002 l -2043 5035 l -2073 5050 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --2540 4987 m -2598 5082 l -2546 5113 l -2488 5018 l -2488 5018 l -2553 5067 l -2540 4987 l cp -eoclip -n -2295 4635 m - -2565 5085 l gs col0 s gr gr - -% arrowhead -n -2540 4987 m -2553 5067 l -2488 5018 l -2522 5015 l -2540 4987 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --2263 4989 m -2328 5080 l -2279 5114 l -2214 5023 l -2214 5023 l -2282 5068 l -2263 4989 l cp -eoclip -n -1980 4635 m - -2295 5085 l gs col0 s gr gr - -% arrowhead -n -2263 4989 m -2282 5068 l -2214 5023 l -2247 5018 l -2263 4989 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --997 5066 m -900 5118 l -872 5065 l -969 5013 l -969 5013 l -917 5075 l -997 5066 l cp -eoclip -n -1755 4635 m - -900 5085 l gs col0 s gr gr - -% arrowhead -n -997 5066 m -917 5075 l -969 5013 l -970 5047 l -997 5066 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --1730 4987 m -1788 5082 l -1736 5113 l -1678 5018 l -1678 5018 l -1743 5067 l -1730 4987 l cp -eoclip -n -1485 4635 m - -1755 5085 l gs col0 s gr gr - -% arrowhead -n -1730 4987 m -1743 5067 l -1678 5018 l -1712 5015 l -1730 4987 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --1460 4987 m -1518 5082 l -1466 5113 l -1408 5018 l -1408 5018 l -1473 5067 l -1460 4987 l cp -eoclip -n -1215 4635 m - -1485 5085 l gs col0 s gr gr - -% arrowhead -n -1460 4987 m -1473 5067 l -1408 5018 l -1442 5015 l -1460 4987 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --1159 5000 m -1245 5071 l -1207 5117 l -1121 5047 l -1121 5047 l -1198 5072 l -1159 5000 l cp -eoclip -n -675 4635 m - -1215 5085 l gs col0 s gr gr - -% arrowhead -n -1159 5000 m -1198 5072 l -1121 5047 l -1151 5033 l -1159 5000 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --749 5018 m -693 5113 l -641 5082 l -697 4987 l -697 4987 l -685 5067 l -749 5018 l cp -eoclip -n -945 4635 m - -675 5085 l gs col0 s gr gr - -% arrowhead -n -749 5018 m -685 5067 l -697 4987 l -715 5015 l -749 5018 l - cp gs 0.00 setgray ef gr col0 s -/Times-Roman-iso ff 158.75 scf sf --450 5220 m -gs 1 -1 sc (Hash Table) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --450 4590 m -gs 1 -1 sc (Key Set) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --2610 5490 m -gs 1 -1 sc (0) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --765 5490 m -gs 1 -1 sc (n-1) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --2070 5490 m -gs 1 -1 sc (2) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --2340 5490 m -gs 1 -1 sc (1) col0 sh gr -/Times-Roman-iso ff 285.75 scf sf --1575 5445 m -gs 1 -1 sc (...) col0 sh gr -/Times-Roman-iso ff 174.63 scf sf --3600 4860 m -gs 1 -1 sc (\(b\)) col0 sh gr -% Polyline -n -1890 3690 m -1620 3690 l -1620 3870 l -1890 3870 l - cp gs col7 1.00 shd ef gr gs col0 s gr -% Polyline -n -1350 3690 m -1080 3690 l -1080 3870 l -1350 3870 l - cp gs col7 1.00 shd ef gr gs col0 s gr -% Polyline -n -1080 3690 m -810 3690 l -810 3870 l -1080 3870 l - cp gs col7 1.00 shd ef gr gs col0 s gr -% Polyline -n -810 3690 m -540 3690 l -540 3870 l -810 3870 l - cp gs col7 1.00 shd ef gr gs col0 s gr -% Polyline -n -3240 3690 m -2970 3690 l -2970 3870 l -3240 3870 l - cp gs col7 1.00 shd ef gr gs col0 s gr -% Polyline -n -270 3690 m 0 3690 l 0 3870 l -270 3870 l - cp gs col7 1.00 shd ef gr gs col0 s gr -% Polyline -n -2970 3690 m -2700 3690 l -2700 3870 l -2970 3870 l - cp gs col32 1.00 shd ef gr gs col0 s gr -% Polyline -n -2700 3690 m -2430 3690 l -2430 3870 l -2700 3870 l - cp gs col7 1.00 shd ef gr gs col0 s gr -% Polyline -n -2430 3690 m -2160 3690 l -2160 3870 l -2430 3870 l - cp gs col32 1.00 shd ef gr gs col0 s gr -% Polyline -n -1620 3690 m -1350 3690 l -1350 3870 l -1620 3870 l - cp gs col32 1.00 shd ef gr gs col0 s gr -% Polyline -n -540 3690 m -270 3690 l -270 3870 l -540 3870 l - cp gs col32 1.00 shd ef gr gs col0 s gr -% Polyline -n -2160 3690 m -1890 3690 l -1890 3870 l -2160 3870 l - cp gs col7 1.00 shd ef gr gs col0 s gr -% Polyline -gs clippath --2116 3652 m -2032 3722 l -1994 3676 l -2078 3605 l -2078 3605 l -2040 3677 l -2116 3652 l cp -eoclip -n -2565 3240 m - -2025 3690 l gs col0 s gr gr - -% arrowhead -n -2116 3652 m -2040 3677 l -2078 3605 l -2086 3638 l -2116 3652 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --2540 3592 m -2598 3687 l -2546 3718 l -2488 3623 l -2488 3623 l -2553 3672 l -2540 3592 l cp -eoclip -n -2295 3240 m - -2565 3690 l gs col0 s gr gr - -% arrowhead -n -2540 3592 m -2553 3672 l -2488 3623 l -2522 3620 l -2540 3592 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --3071 3626 m -3175 3667 l -3152 3723 l -3049 3682 l -3049 3682 l -3130 3682 l -3071 3626 l cp -eoclip -n -2025 3240 m - -3150 3690 l gs col0 s gr gr - -% arrowhead -n -3071 3626 m -3130 3682 l -3049 3682 l -3074 3659 l -3071 3626 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --1306 3652 m -1222 3722 l -1184 3676 l -1268 3605 l -1268 3605 l -1230 3677 l -1306 3652 l cp -eoclip -n -1755 3240 m - -1215 3690 l gs col0 s gr gr - -% arrowhead -n -1306 3652 m -1230 3677 l -1268 3605 l -1276 3638 l -1306 3652 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --1730 3592 m -1788 3687 l -1736 3718 l -1678 3623 l -1678 3623 l -1743 3672 l -1730 3592 l cp -eoclip -n -1485 3240 m - -1755 3690 l gs col0 s gr gr - -% arrowhead -n -1730 3592 m -1743 3672 l -1678 3623 l -1712 3620 l -1730 3592 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --188 3682 m -87 3723 l -64 3667 l -166 3626 l -166 3626 l -108 3682 l -188 3682 l cp -eoclip -n -1215 3240 m - -90 3690 l gs col0 s gr gr - -% arrowhead -n -188 3682 m -108 3682 l -166 3626 l -163 3659 l -188 3682 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --920 3592 m -978 3687 l -926 3718 l -868 3623 l -868 3623 l -933 3672 l -920 3592 l cp -eoclip -n -675 3240 m - -945 3690 l gs col0 s gr gr - -% arrowhead -n -920 3592 m -933 3672 l -868 3623 l -902 3620 l -920 3592 l - cp gs 0.00 setgray ef gr col0 s -% Polyline -gs clippath --749 3623 m -693 3718 l -641 3687 l -697 3592 l -697 3592 l -685 3672 l -749 3623 l cp -eoclip -n -945 3240 m - -675 3690 l gs col0 s gr gr - -% arrowhead -n -749 3623 m -685 3672 l -697 3592 l -715 3620 l -749 3623 l - cp gs 0.00 setgray ef gr col0 s -/Times-Roman-iso ff 158.75 scf sf --2610 4095 m -gs 1 -1 sc (2) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --2880 4095 m -gs 1 -1 sc (1) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --3150 4095 m -gs 1 -1 sc (0) col0 sh gr -/Times-Roman-iso ff 285.75 scf sf --1575 4050 m -gs 1 -1 sc (...) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --270 4095 m -gs 1 -1 sc (m-1) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf --450 3195 m -gs 1 -1 sc (Key Set) col0 sh gr -/Times-Roman-iso ff 158.75 scf sf -90 3825 m -gs 1 -1 sc (Hash Table) col0 sh gr -/Times-Roman-iso ff 174.63 scf sf --3600 3465 m -gs 1 -1 sc (\(a\)) col0 sh gr -% here ends figure; -$F2psEnd -rs -showpage -%%Trailer -%EOF diff --git a/vldb/pt/introduction.tex b/vldb/pt/introduction.tex deleted file mode 100755 index 077d092..0000000 --- a/vldb/pt/introduction.tex +++ /dev/null @@ -1,55 +0,0 @@ -\section{Introdu\c{c}\~ao} -\label{sec:introduction} -Fun\c{c}\~oes hash s\~ao amplamente utilizadas em v\'arias \'areas da -Ci\^encia da Computa\c{c}\~ao. -Uma \textit{fun\c{c}\~ao hash} $h: U \to M$ mapeia chaves de um universo $U$, $|U|=u$, -para um dado intervalo de inteiros $M=[0,m-1]=\{0,1,\dots,m-1\}$. -Seja~$S\subseteq U$ um subconjunto de $n$ chaves do universo $U$. -Dado uma chave~$k\in S$, uma fun\c{c}\~ao hash $h$ computa um inteiro em -$M$ para armazenamento ou recupera\c{c}\~ao de $k$ em uma \textit{tabela hash}. -Neste artigo consideramos que as chaves s\~ao strings de bits de comprimento -m\'aximo $L$. Portanto $u = 2^L$. - -M\'etodos de hashing para {\em conjuntos n\~ao est\'aticos} de chaves podem ser usados para -construir estruturas de dados para armazenar $S$ e suportar consultas do tipo -``$k \in S$?'' em tempo esperado $O(1)$. -No entanto, eles envolvem um certo desperd\'{\i}cio de espa\c{c}o e tempo devido -a localiza\c{c}\~oes inutilizadas na tabela e tempo para resolver colis\~oes quando duas -chaves s\~ao mapeadas para a mesma localiza\c{c}\~ao na tabela. - - -Para {\em conjuntos est\'aticos} de chaves \'e poss\'{\i}vel computar uma fun\c{c}\~ao -para encontrar qualquer chave na tabela em uma \'unica tentativa; tais fun\c{c}\~oes -s\~ao chamadas de \textit{perfeitas}. -Dado um conjunto de chaves $S$, dizemos que uma fun\c{c}\~ao hash $h:U\to M$ \'e uma -\textit{fun\c{c}\~ao hash perfeita} (FHP) para $S$ se $h$ \'e injetora para $S$, -isto \'e, n\~ao h\'a {\em colis\~oes} entre as chaves em $S$: se $x$ -e $y$ est\~ao em $S$ e $x\neq y$, ent\~ao $h(x)\neq h(y)$. -A Figura~\ref{fig:minimalperfecthash-ph-mph}(a) ilustra uma fun\c{c}\~ao hash perfeita. -Se $m=n$, isto \'e, a tabela \'e do mesmo tamanho de $S$, -ent\~ao $h$ \'e uma \textit{fun\c{c}\~ao hash perfeita m\'{\i}nima} (FHPM). -A Figura~\ref{fig:minimalperfecthash-ph-mph}(b) ilustra uma -fun\c{c}\~ao hash perfeita m\'{\i}nima. -FHPMs podem evitar totalmente o problema de desperd\'{\i}cio de espa\c{c}o e tempo. - -% For two-column wide figures use -\begin{figure} -% Use the relevant command to insert your figure file. -% For example, with the graphicx package use -\centering - \includegraphics[width=0.45\textwidth, height=0.3\textheight]{figs/minimalperfecthash-ph-mph.ps} -% figure caption is below the figure -\caption{(a) Perfect hash function\quad (b) Minimal perfect hash function} -\label{fig:minimalperfecthash-ph-mph} -\end{figure} - -A aplicabilidade pr\'atica das FHPMs e consequentemente dos algoritmos utilizados para ger\'a-las est\'a diretamente relacionada com as seguintes m\'etricas: -\begin{enumerate} -\item Quantidade de tempo gasto para encontrar uma FHPM $h$. -\item Quantidade de mem\'oria exigida para encontrar $h$. -\item Quantidade de tempo necess\'ario para avaliar ou computar $h$ para uma dada chave. -\item Quantidade de mem\'oria exigida para armazenar a descri\c{c}\~ao da fun\c{c}\~ao $h$. -\item Escalabilidade dos algoritmos com o crescimento de $S$. -\end{enumerate} - -Neste artigo apresentamos ... \ No newline at end of file diff --git a/vldb/pt/makefile b/vldb/pt/makefile deleted file mode 100755 index c1a738f..0000000 --- a/vldb/pt/makefile +++ /dev/null @@ -1,17 +0,0 @@ -all: - latex vldb.tex - bibtex vldb - latex vldb.tex - latex vldb.tex - dvips vldb.dvi -o vldb.ps - ps2pdf vldb.ps - chmod -R g+rwx * - -perm: - chmod -R g+rwx * - -run: clean all - gv vldb.ps & -clean: - rm *.aux *.bbl *.blg *.log - diff --git a/vldb/pt/references.bib b/vldb/pt/references.bib deleted file mode 100755 index 7a1a9fb..0000000 --- a/vldb/pt/references.bib +++ /dev/null @@ -1,700 +0,0 @@ -@inproceedings{p99, - author = {R. 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Jerrum}, -} - -@incollection {jlr90, - AUTHOR = {Janson, Svante and {\L}uczak, Tomasz and Ruci{\'n}ski, - Andrzej}, - TITLE = {An exponential bound for the probability of nonexistence of a - specified subgraph in a random graph}, - BOOKTITLE = {Random graphs '87 (Pozna\'n, 1987)}, - PAGES = {73--87}, - PUBLISHER = {Wiley}, - ADDRESS = {Chichester}, - YEAR = 1990, - MRCLASS = {05C80 (60C05)}, - MRNUMBER = {91m:05168}, -MRREVIEWER = {J. Spencer}, -} - -@book {b01, - AUTHOR = {Bollob{\'a}s, B.}, - TITLE = {Random graphs}, - SERIES = {Cambridge Studies in Advanced Mathematics}, - VOLUME = 73, - EDITION = {Second}, - PUBLISHER = {Cambridge University Press}, - ADDRESS = {Cambridge}, - YEAR = 2001, - PAGES = {xviii+498}, - ISBN = {0-521-80920-7; 0-521-79722-5}, - MRCLASS = {05C80 (60C05)}, - MRNUMBER = {MR1864966 (2002j:05132)}, -} - diff --git a/vldb/pt/relatedwork.tex b/vldb/pt/relatedwork.tex deleted file mode 100755 index b250e4b..0000000 --- a/vldb/pt/relatedwork.tex +++ /dev/null @@ -1,73 +0,0 @@ -\section{Trabalhos Relacionados} -As FHPs e FHPMs receberam muita aten\c{c}\~ao da comunidade -cient\'{\i}fica nas d\'ecadas de 80 e 90. Em~\cite{chm97} \'e -apresentado um survey completo da \'area at\'e 1997. -Nesta se\c{c}\~ao revisitamos os trabalhos cobertos pelo survey que -est\~ao diretamente relacionados aos algoritmos aqui propostos e -fazemos um survey dos algoritmos propostos desde ent\~ao. - -Fredman, Koml\'os e Szemer\'edi~\cite{FKS84} mostraram que \'e poss\'{\i}vel construir -FHPs que podem ser descritas eficientemente em termos de espa\c{c}o e avaliadas em -tempo constante utilizando tamanhos de tabelas que s\~ao lineares no n\'umero de chaves: -$m=O(n)$. -No modelo de computa\c{c}\~ao deles, um elemento do universo~$U$ \'e colocado em uma -palavra de m\'aquina, e opera\c{c}\~oes aritm\'eticas e acesso \`a mem\'oria tem custo -$O(1)$. -Algoritmos rand\^omicos no modelo FKS podem construir FHPs com complexidade de tempo -experada de $O(n)$: -Este \'e o caso dos nossos algoritmos e dos trabalhos em~\cite{chm92,p99}. - -Os trabalhos~\cite{asw00,swz00} apresentam algoritmos para construir -FHPs e FHPMs deterministicamente. -As fun\c{c}\~oes geradas necessitam de $O(n \log(n) + \log(\log(u)))$ bits para serem descritas. -A complexidade de caso m\'edio dos algoritmos para gerar as fun\c{c}\~oes \'e -$O(n\log(n) \log( \log (u)))$ e a de pior caso \'e $O(n^3\log(n) \log(\log(u)))$. -A complexidade de avalia\c{c}\~ao das fun\c{c}\~oes \'e $O(\log(n) + \log(\log(u)))$. -Assim, os algoritmos n\~ao geram fun\c{c}\~oes que podem ser avaliadas com complexidade -de tempo $O(1)$, est\~ao distantes a um fator de $\log n$ da complexidade \'otima para descrever -FHPs e FHPMs (Mehlhorn mostra em~\cite{m84} -que para armazenar uma FHP s\~ao necess\'arios no m\'{\i}nimo -$\Omega(n^2/(2\ln 2) m + \log\log u)$ bits), e n\~ao geram as -fun\c{c}\~oes com complexidade linear. -Al\'em disso, o universo $U$ das chaves \'e restrito a n\'umeros inteiros, o que pode -limitar a utiliza\c{c}\~ao na pr\'atica. - -Pagh~\cite{p99} prop\^os uma fam\'{\i}lia de algoritmos rand\^omicos para construir -FHPMs. -A forma da fun\c{c}\~ao resultante \'e $h(k) = (f(k) + d_{g(k)}) \bmod n$, -onde $f$ e $g$ s\~ao fun\c{c}\~oes hash universal \cite{ss89} e $d$ \'e um conjunto de -valores de deslocamento para resolver as colis\~oes que s\~ao causadas pela fun\c{c}\~ao $f$. -Pagh identificou um conjunto de condi\c{c}\~oes referentes a $f$ e $g$, e mostrou -que se tais condi\c{c}\~oes fossem satisfeitas, ent\~ao, uma FHPM pode ser computada -em tempo esperado $O(n)$ e armazenada em $(2+\epsilon)n$ palavras de computador -(ou $O((2+\epsilon)n \log n)$ bits.) -Dietzfelbinger e Hagerup~\cite{dh01} melhoraram ~\cite{p99}, -reduzindo de $(2+\epsilon)n$ para $(1+\epsilon)n$ (ou $O((1+\epsilon)n \log n)$ bits) -o n\'umero de palavras de -computador exigidas para armazenar a fun\c{c}\~ao, mas na abordagem deles $f$ e $g$ -devem ser escolhidas de uma classe de fun\c{c}\~oes hash que atendam a requisitos -adicionais. - -Galli, Seybold e Simon~\cite{gss01} propuseram um algoritmo r\^andomico -que gera FHPMs da mesma forma das geradas pelos algoritmos de Pagh~\cite{p99} -e, Dietzfelbinger e Hagerup~\cite{dh01}. No entanto, eles definiram a forma das -fun\c{c}\~oes $f(k) = h_c(k) \bmod n$ e $g(k) = \lfloor h_c(k)/n \rfloor$ para obter em tempo esperado $O(n)$ uma fun\c{c}\~ao que pode ser descrita em $O(n\log n)$ bits, onde -$h_c(k) = (ck \bmod p) \bmod n^2$, $1 \leq c \leq p-1$ e $p$ um primo maior do que $u$. - -Os algoritmos propostos em~\cite{p99,dh01,gss01} n\~ao s\~ao escal\'aveis com o crescimento do -conjunto de chaves $S$. Isto \'e devido as restri\c{c}\~oes impostas sobre as fun\c{c}\~oes -hash universal utilizadas no c\'alculo das FHPMs. Normalmente \'e exigido um -n\'umero primo maior do que o tamanho do universo $u$ que, em geral, \'e muito maior -do que $n=|S|$ ou opera\c{c}\~oes envolvendo $n^2$ aparecem no c\'alculo da FHPM. -Al\'em disso, todas as fun\c{c}\~oes est\~ao distantes a um fator de $\log n$ da complexidade -\'otima para descrever FHPMs. - -Diferentemente dos trabalhos em~\cite{p99,dh01,gss01}, nossos algoritmos usam -fun\c{c}\~oes hash universal que s\~ao selecionadas randomicamente de uma classe -de fun\c{c}\~oes que n\~ao necessitam atender restri\c{c}\~oes adicionais. -Al\'em disso, as FHPMs s\~ao geradas em tempo esperado $O(n)$, s\~ao avaliadas -com custo $O(1)$ e s\~ao descritas em $O(n)$ bits que est\'a muito pr\'oximo da -complexidade \'otima. -Pelo melhor do nosso conhecimento, os algoritmos propostos neste artigo s\~ao -os primeiros da literatura capazes de gerar FHPMs para conjuntos de chaves na -ordem de bilh\~oes de chaves utilizando um simples PC com 1GB de mem\'oria principal. \ No newline at end of file diff --git a/vldb/pt/svglov2.clo b/vldb/pt/svglov2.clo deleted file mode 100644 index d98306e..0000000 --- a/vldb/pt/svglov2.clo +++ /dev/null @@ -1,77 +0,0 @@ -% SVJour2 DOCUMENT CLASS OPTION SVGLOV2 -- for standardised journals -% -% This is an enhancement for the LaTeX -% SVJour2 document class for Springer journals -% -%% -%% -%% \CharacterTable -%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z -%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z -%% Digits \0\1\2\3\4\5\6\7\8\9 -%% Exclamation \! 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Solidus \/ -%% Colon \: Semicolon \; Less than \< -%% Equals \= Greater than \> Question mark \? -%% Commercial at \@ Left bracket \[ Backslash \\ -%% Right bracket \] Circumflex \^ Underscore \_ -%% Grave accent \` Left brace \{ Vertical bar \| -%% Right brace \} Tilde \~} -\NeedsTeXFormat{LaTeX2e}[1995/12/01] -\ProvidesClass{svjour2}[2005/08/29 v2.8 -^^JLaTeX document class for Springer journals] -\newcommand\@ptsize{} -\newif\if@restonecol -\newif\if@titlepage -\@titlepagefalse -\DeclareOption{a4paper} - {\setlength\paperheight {297mm}% - \setlength\paperwidth {210mm}} -\DeclareOption{10pt}{\renewcommand\@ptsize{0}} -\DeclareOption{twoside}{\@twosidetrue \@mparswitchtrue} -\DeclareOption{draft}{\setlength\overfullrule{5pt}} -\DeclareOption{final}{\setlength\overfullrule{0pt}} -\DeclareOption{fleqn}{\input{fleqn.clo}\AtBeginDocument{\mathindent\z@}} -\DeclareOption{twocolumn}{\@twocolumntrue\ExecuteOptions{fleqn}} -\newif\if@avier\@avierfalse -\DeclareOption{onecollarge}{\@aviertrue} -\let\if@mathematic\iftrue -\let\if@numbook\iffalse -\DeclareOption{numbook}{\let\if@envcntsect\iftrue - \AtEndOfPackage{% - \renewcommand\thefigure{\thesection.\@arabic\c@figure}% - \renewcommand\thetable{\thesection.\@arabic\c@table}% - \renewcommand\theequation{\thesection.\@arabic\c@equation}% - \@addtoreset{figure}{section}% - \@addtoreset{table}{section}% - \@addtoreset{equation}{section}% - }% -} -\DeclareOption{openbib}{% - \AtEndOfPackage{% - \renewcommand\@openbib@code{% - \advance\leftmargin\bibindent - \itemindent -\bibindent - \listparindent \itemindent - \parsep \z@ - }% - \renewcommand\newblock{\par}}% -} -\DeclareOption{natbib}{% -\AtEndOfClass{\RequirePackage{natbib}% -% Changing some parameters of NATBIB -\setlength{\bibhang}{\parindent}% -%\setlength{\bibsep}{0mm}% -\let\bibfont=\small -\def\@biblabel#1{#1.}% -\newcommand{\etal}{et al.}% -\bibpunct{(}{)}{;}{a}{}{,}}} -% -\let\if@runhead\iffalse -\DeclareOption{runningheads}{\let\if@runhead\iftrue} -\let\if@smartrunh\iffalse -\DeclareOption{smartrunhead}{\let\if@smartrunh\iftrue} -\DeclareOption{nosmartrunhead}{\let\if@smartrunh\iffalse} -\let\if@envcntreset\iffalse -\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue} -\let\if@envcntsame\iffalse -\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue} -\let\if@envcntsect\iffalse -\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue} -\let\if@referee\iffalse -\DeclareOption{referee}{\let\if@referee\iftrue} -\def\makereferee{\def\baselinestretch{2}} -\let\if@instindent\iffalse -\DeclareOption{instindent}{\let\if@instindent\iftrue} -\let\if@smartand\iffalse -\DeclareOption{smartand}{\let\if@smartand\iftrue} -\let\if@spthms\iftrue -\DeclareOption{nospthms}{\let\if@spthms\iffalse} -% -% language and babel dependencies -\DeclareOption{deutsch}{\def\switcht@@therlang{\switcht@deutsch}% -\gdef\svlanginfo{\typeout{Man spricht deutsch.}\global\let\svlanginfo\relax}} -\DeclareOption{francais}{\def\switcht@@therlang{\switcht@francais}% -\gdef\svlanginfo{\typeout{On parle francais.}\global\let\svlanginfo\relax}} -\let\switcht@@therlang\relax -\let\svlanginfo\relax -% -\AtBeginDocument{\@ifpackageloaded{babel}{% -\@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}% -\@ifundefined{extrasUKenglish}{}{\addto\extrasUKenglish{\switcht@albion}}% -\@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}% -\@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}% -\@ifundefined{extrasngerman}{}{\addto\extrasngerman{\switcht@deutsch}}% -}{\switcht@@therlang}% -} -% -\def\ClassInfoNoLine#1#2{% - \ClassInfo{#1}{#2\@gobble}% -} -\let\journalopt\@empty -\DeclareOption*{% -\InputIfFileExists{sv\CurrentOption.clo}{% -\global\let\journalopt\CurrentOption}{% -\ClassWarning{Springer-SVJour2}{Specified option or subpackage -"\CurrentOption" not found -}\OptionNotUsed}} -\ExecuteOptions{a4paper,twoside,10pt,instindent} -\ProcessOptions -% -\ifx\journalopt\@empty\relax -\ClassInfoNoLine{Springer-SVJour2}{extra/valid Springer sub-package (-> *.clo) -\MessageBreak not found in option list of \string\documentclass -\MessageBreak - autoactivating "global" style}{} -\input{svglov2.clo} -\else -\@ifundefined{validfor}{% -\ClassError{Springer-SVJour2}{Possible option clash for sub-package -\MessageBreak "sv\journalopt.clo" - option file not valid -\MessageBreak for this class}{Perhaps you used an option of the old -Springer class SVJour!} -}{} -\fi -% -\if@smartrunh\AtEndDocument{\islastpageeven\getlastpagenumber}\fi -% -\newcommand{\twocoltest}[2]{\if@twocolumn\def\@gtempa{#2}\else\def\@gtempa{#1}\fi -\@gtempa\makeatother} -\newcommand{\columncase}{\makeatletter\twocoltest} -% -\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00} -\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01} -\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02} -\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03} -\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04} -\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05} -\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06} -\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07} -\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08} -\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09} -\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A} -% -\setlength\parindent{15\p@} -\setlength\smallskipamount{3\p@ \@plus 1\p@ \@minus 1\p@} -\setlength\medskipamount{6\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\bigskipamount{12\p@ \@plus 4\p@ \@minus 4\p@} -\setlength\headheight{12\p@} -\setlength\headsep {16.74dd} -\setlength\topskip {10\p@} -\setlength\footskip{30\p@} -\setlength\maxdepth{.5\topskip} -% -\@settopoint\textwidth -\setlength\marginparsep {10\p@} -\setlength\marginparpush{5\p@} -\setlength\topmargin{-10pt} -\if@twocolumn - \setlength\oddsidemargin {-30\p@} - \setlength\evensidemargin{-30\p@} -\else - \setlength\oddsidemargin {\z@} - \setlength\evensidemargin{\z@} -\fi -\setlength\marginparwidth {48\p@} -\setlength\footnotesep{8\p@} -\setlength{\skip\footins}{9\p@ \@plus 4\p@ \@minus 2\p@} -\setlength\floatsep {12\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\textfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@} -\setlength\intextsep {20\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\dblfloatsep {12\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\dbltextfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@} -\setlength\@fptop{0\p@} -\setlength\@fpsep{12\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\@fpbot{0\p@ \@plus 1fil} -\setlength\@dblfptop{0\p@} -\setlength\@dblfpsep{12\p@ \@plus 2\p@ \@minus 2\p@} -\setlength\@dblfpbot{0\p@ \@plus 1fil} -\setlength\partopsep{2\p@ \@plus 1\p@ \@minus 1\p@} -\def\@listi{\leftmargin\leftmargini - \parsep \z@ - \topsep 6\p@ \@plus2\p@ \@minus4\p@ - \itemsep\parsep} -\let\@listI\@listi -\@listi -\def\@listii {\leftmargin\leftmarginii - \labelwidth\leftmarginii - \advance\labelwidth-\labelsep - \topsep \z@ - \parsep \topsep - \itemsep \parsep} -\def\@listiii{\leftmargin\leftmarginiii - \labelwidth\leftmarginiii - \advance\labelwidth-\labelsep - \topsep \z@ - \parsep \topsep - \itemsep \parsep} -\def\@listiv {\leftmargin\leftmarginiv - \labelwidth\leftmarginiv - \advance\labelwidth-\labelsep} -\def\@listv {\leftmargin\leftmarginv - \labelwidth\leftmarginv - \advance\labelwidth-\labelsep} -\def\@listvi {\leftmargin\leftmarginvi - \labelwidth\leftmarginvi - \advance\labelwidth-\labelsep} -% -\setlength\lineskip{1\p@} -\setlength\normallineskip{1\p@} -\renewcommand\baselinestretch{} -\setlength\parskip{0\p@ \@plus \p@} -\@lowpenalty 51 -\@medpenalty 151 -\@highpenalty 301 -\setcounter{topnumber}{4} -\renewcommand\topfraction{.9} -\setcounter{bottomnumber}{2} -\renewcommand\bottomfraction{.7} -\setcounter{totalnumber}{6} -\renewcommand\textfraction{.1} -\renewcommand\floatpagefraction{.85} -\setcounter{dbltopnumber}{3} -\renewcommand\dbltopfraction{.85} -\renewcommand\dblfloatpagefraction{.85} -\def\ps@headings{% - \let\@oddfoot\@empty\let\@evenfoot\@empty - \def\@evenhead{\small\csname runheadhook\endcsname - \rlap{\thepage}\hfil\leftmark\unskip}% - \def\@oddhead{\small\csname runheadhook\endcsname - \ignorespaces\rightmark\hfil\llap{\thepage}}% - \let\@mkboth\@gobbletwo - \let\sectionmark\@gobble - \let\subsectionmark\@gobble - } -% make indentations changeable -\def\setitemindent#1{\settowidth{\labelwidth}{#1}% - \leftmargini\labelwidth - \advance\leftmargini\labelsep - \def\@listi{\leftmargin\leftmargini - \labelwidth\leftmargini\advance\labelwidth by -\labelsep - \parsep=\parskip - \topsep=\medskipamount - \itemsep=\parskip \advance\itemsep by -\parsep}} -\def\setitemitemindent#1{\settowidth{\labelwidth}{#1}% - \leftmarginii\labelwidth - \advance\leftmarginii\labelsep -\def\@listii{\leftmargin\leftmarginii - \labelwidth\leftmarginii\advance\labelwidth by -\labelsep - \parsep=\parskip - \topsep=\z@ - \itemsep=\parskip \advance\itemsep by -\parsep}} -% labels of description -\def\descriptionlabel#1{\hspace\labelsep #1\hfil} -% adjusted environment "description" -% if an optional parameter (at the first two levels of lists) -% is present, its width is considered to be the widest mark -% throughout the current list. -\def\description{\@ifnextchar[{\@describe}{\list{}{\labelwidth\z@ - \itemindent-\leftmargin \let\makelabel\descriptionlabel}}} -\let\enddescription\endlist -% -\def\describelabel#1{#1\hfil} -\def\@describe[#1]{\relax\ifnum\@listdepth=0 -\setitemindent{#1}\else\ifnum\@listdepth=1 -\setitemitemindent{#1}\fi\fi -\list{--}{\let\makelabel\describelabel}} -% -\newdimen\logodepth -\logodepth=1.2cm -\newdimen\headerboxheight -\headerboxheight=180pt % 18 10.5dd-lines - 2\baselineskip -\advance\headerboxheight by-14.5mm -\newdimen\betweenumberspace % dimension for space between -\betweenumberspace=3.33pt % number and text of titles. -\newdimen\aftertext % dimension for space after -\aftertext=5pt % text of title. -\newdimen\headlineindent % dimension for space between -\headlineindent=1.166cm % number and text of headings. -\if@mathematic - \def\runinend{} % \enspace} - \def\floatcounterend{\enspace} - \def\sectcounterend{} -\else - \def\runinend{.} - \def\floatcounterend{.\ } - \def\sectcounterend{.} -\fi -\def\email#1{\emailname: #1} -\def\keywords#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm -\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ -}\noindent\keywordname\enspace\ignorespaces#1\par}} -% -\def\subclassname{{\bfseries Mathematics Subject Classification -(2000)}\enspace} -\def\subclass#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm -\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ -}\noindent\subclassname\ignorespaces#1\par}} -% -\def\PACSname{\textbf{PACS}\enspace} -\def\PACS#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm -\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ -}\noindent\PACSname\ignorespaces#1\par}} -% -\def\CRclassname{{\bfseries CR Subject Classification}\enspace} -\def\CRclass#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm -\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$ -}\noindent\CRclassname\ignorespaces#1\par}} -% -\def\ESMname{\textbf{Electronic Supplementary Material}\enspace} -\def\ESM#1{\par\addvspace\medskipamount -\noindent\ESMname\ignorespaces#1\par} -% -\newcounter{inst} -\newcounter{auth} -\def\authdepth{2} -\newdimen\instindent -\newbox\authrun -\newtoks\authorrunning -\newbox\titrun -\newtoks\titlerunning -\def\authorfont{\bfseries} - -\def\combirunning#1{\gdef\@combi{#1}} -\def\@combi{} -\newbox\combirun -% -\def\ps@last{\def\@evenhead{\small\rlap{\thepage}\hfil -\lastevenhead}} -\newcounter{lastpage} -\def\islastpageeven{\@ifundefined{lastpagenumber} -{\setcounter{lastpage}{0}}{\setcounter{lastpage}{\lastpagenumber}} -\ifnum\value{lastpage}>0 - \ifodd\value{lastpage}% - \else - \if@smartrunh - \thispagestyle{last}% - \fi - \fi -\fi} -\def\getlastpagenumber{\clearpage -\addtocounter{page}{-1}% - \immediate\write\@auxout{\string\gdef\string\lastpagenumber{\thepage}}% - \immediate\write\@auxout{\string\newlabel{LastPage}{{}{\thepage}}}% - \addtocounter{page}{1}} - -\def\journalname#1{\gdef\@journalname{#1}} - -\def\dedication#1{\gdef\@dedic{#1}} -\def\@dedic{} - -\let\@date\undefined -\def\notused{~} - -\def\institute#1{\gdef\@institute{#1}} - -\def\offprints#1{\begingroup -\def\protect{\noexpand\protect\noexpand}\xdef\@thanks{\@thanks -\protect\footnotetext[0]{\unskip\hskip-15pt{\itshape Send offprint requests -to\/}: \ignorespaces#1}}\endgroup\ignorespaces} - -%\def\mail#1{\gdef\@mail{#1}} -%\def\@mail{} - -\def\@thanks{} - -\def\@fnsymbol#1{\ifcase#1\or\star\or{\star\star}\or{\star\star\star}% - \or \dagger\or \ddagger\or - \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger - \or \ddagger\ddagger \else\@ctrerr\fi\relax} -% -%\def\invthanks#1{\footnotetext[0]{\kern-\bibindent#1}} -% -\def\nothanksmarks{\def\thanks##1{\protected@xdef\@thanks{\@thanks - \protect\footnotetext[0]{\kern-\bibindent##1}}}} -% -\def\subtitle#1{\gdef\@subtitle{#1}} -\def\@subtitle{} - -\def\headnote#1{\gdef\@headnote{#1}} -\def\@headnote{} - -\def\papertype#1{\gdef\paper@type{\MakeUppercase{#1}}} -\def\paper@type{} - -\def\ch@ckobl#1#2{\@ifundefined{@#1} - {\typeout{SVJour2 warning: Missing -\expandafter\string\csname#1\endcsname}% - \csname #1\endcsname{#2}} - {}} -% -\def\ProcessRunnHead{% - \def\\{\unskip\ \ignorespaces}% - \def\thanks##1{\unskip{}}% - \instindent=\textwidth - \advance\instindent by-\headlineindent - \if!\the\titlerunning!\else - \edef\@title{\the\titlerunning}% - \fi - \global\setbox\titrun=\hbox{\small\rmfamily\unboldmath\ignorespaces\@title - \unskip}% - \ifdim\wd\titrun>\instindent - \typeout{^^JSVJour2 Warning: Title too long for running head.}% - \typeout{Please supply a shorter form with \string\titlerunning - \space prior to \string\maketitle}% - \global\setbox\titrun=\hbox{\small\rmfamily - Title Suppressed Due to Excessive Length}% - \fi - \xdef\@title{\copy\titrun}% -% - \if!\the\authorrunning! - \else - \setcounter{auth}{1}% - \edef\@author{\the\authorrunning}% - \fi - \ifnum\value{inst}>\authdepth - \def\stripauthor##1\and##2\endauthor{% - \protected@xdef\@author{##1\unskip\unskip\if!##2!\else\ et al.\fi}}% - \expandafter\stripauthor\@author\and\endauthor - \else - \gdef\and{\unskip, \ignorespaces}% - {\def\and{\noexpand\protect\noexpand\and}% - \protected@xdef\@author{\@author}} - \fi - \global\setbox\authrun=\hbox{\small\rmfamily\unboldmath\ignorespaces - \@author\unskip}% - \ifdim\wd\authrun>\instindent - \typeout{^^JSVJour2 Warning: Author name(s) too long for running head. - ^^JPlease supply a shorter form with \string\authorrunning - \space prior to \string\maketitle}% - \global\setbox\authrun=\hbox{\small\rmfamily Please give a shorter version - with: {\tt\string\authorrunning\space and - \string\titlerunning\space prior to \string\maketitle}}% - \fi - \xdef\@author{\copy\authrun}% - \markboth{\@author}{\@title}% -} -% -\let\orithanks=\thanks -\def\thanks#1{\ClassWarning{SVJour2}{\string\thanks\space may only be -used inside of \string\title, \string\author,\MessageBreak -and \string\date\space prior to \string\maketitle}} -% -\def\maketitle{\par\let\thanks=\orithanks -\ch@ckobl{journalname}{Noname} -\ch@ckobl{date}{the date of receipt and acceptance should be inserted -later} -\ch@ckobl{title}{A title should be given} -\ch@ckobl{author}{Name(s) and initial(s) of author(s) should be given} -\ch@ckobl{institute}{Address(es) of author(s) should be given} -\begingroup -% - \renewcommand\thefootnote{\@fnsymbol\c@footnote}% - \def\@makefnmark{$^{\@thefnmark}$}% - \renewcommand\@makefntext[1]{% - \noindent - \hb@xt@\bibindent{\hss\@makefnmark\enspace}##1\vrule height0pt - width0pt depth8pt} -% - \def\lastand{\ifnum\value{inst}=2\relax - \unskip{} \andname\ - \else - \unskip, \andname\ - \fi}% - \def\and{\stepcounter{auth}\relax - \if@smartand - \ifnum\value{auth}=\value{inst}% - \lastand - \else - \unskip, - \fi - \else - \unskip, - \fi}% - \thispagestyle{empty} - \ifnum \col@number=\@ne - \@maketitle - \else - \twocolumn[\@maketitle]% - \fi -% - \global\@topnum\z@ - \if!\@thanks!\else - \@thanks -\insert\footins{\vskip-3pt\hrule width\columnwidth\vskip3pt}% - \fi - {\def\thanks##1{\unskip{}}% - \def\iand{\\[5pt]\let\and=\nand}% - \def\nand{\ifhmode\unskip\nobreak\fi\ $\cdot$ }% - \let\and=\nand - \def\at{\\\let\and=\iand}% - \footnotetext[0]{\kern-\bibindent - \ignorespaces\@institute}\vspace{5dd}}% -%\if!\@mail!\else -% \footnotetext[0]{\kern-\bibindent\mailname\ -% \ignorespaces\@mail}% -%\fi -% - \if@runhead - \ProcessRunnHead - \fi -% - \endgroup - \setcounter{footnote}{0} - \global\let\thanks\relax - \global\let\maketitle\relax - \global\let\@maketitle\relax - \global\let\@thanks\@empty - \global\let\@author\@empty - \global\let\@date\@empty - \global\let\@title\@empty - \global\let\@subtitle\@empty - \global\let\title\relax - \global\let\author\relax - \global\let\date\relax - \global\let\and\relax} - -\def\makeheadbox{{% -\hbox to0pt{\vbox{\baselineskip=10dd\hrule\hbox -to\hsize{\vrule\kern3pt\vbox{\kern3pt -\hbox{\bfseries\@journalname\ manuscript No.} -\hbox{(will be inserted by the editor)} -\kern3pt}\hfil\kern3pt\vrule}\hrule}% -\hss}}} -% -\def\rubric{\setbox0=\hbox{\small\strut}\@tempdima=\ht0\advance -\@tempdima\dp0\advance\@tempdima2\fboxsep\vrule\@height\@tempdima -\@width\z@} -\newdimen\rubricwidth -% -\def\@maketitle{\newpage -\normalfont -\vbox to0pt{\if@twocolumn\vskip-39pt\else\vskip-49pt\fi -\nointerlineskip -\makeheadbox\vss}\nointerlineskip -\vbox to 0pt{\offinterlineskip\rubricwidth=\columnwidth -\vskip-12.5pt -\if@twocolumn\else % one column journal - \divide\rubricwidth by144\multiply\rubricwidth by89 % perform golden section - \vskip-\topskip -\fi -\hrule\@height0.35mm\noindent -\advance\fboxsep by.25mm -\global\advance\rubricwidth by0pt -\rubric -\vss}\vskip19.5pt -% -\if@twocolumn\else - \gdef\footnoterule{% - \kern-3\p@ - \hrule\@width\columnwidth %rubricwidth - \kern2.6\p@} -\fi -% - \setbox\authrun=\vbox\bgroup - \hrule\@height 9mm\@width0\p@ - \pretolerance=10000 - \rightskip=0pt plus 4cm - \nothanksmarks -% \if!\@headnote!\else -% \noindent -% {\LARGE\normalfont\itshape\ignorespaces\@headnote\par}\vskip 3.5mm -% \fi - {\authorfont - \setbox0=\vbox{\setcounter{auth}{1}\def\and{\stepcounter{auth} }% - \hfuzz=2\textwidth\def\thanks##1{}\@author}% - \setcounter{footnote}{0}% - \global\value{inst}=\value{auth}% - \setcounter{auth}{1}% - \if@twocolumn - \rightskip43mm plus 4cm minus 3mm - \else % one column journal - \rightskip=\linewidth - \advance\rightskip by-\rubricwidth - \advance\rightskip by0pt plus 4cm minus 3mm - \fi -% -\def\and{\unskip\nobreak\enskip{\boldmath$\cdot$}\enskip\ignorespaces}% - \noindent\ignorespaces\@author\vskip7.23pt} - {\LARGE\bfseries - \noindent\ignorespaces - \@title \par}\vskip 11.24pt\relax - \if!\@subtitle!\else - {\large\bfseries - \pretolerance=10000 - \rightskip=0pt plus 3cm - \vskip-5pt - \noindent\ignorespaces\@subtitle \par}\vskip 11.24pt - \fi - \small - \if!\@dedic!\else - \par - \normalsize\it - \addvspace\baselineskip - \noindent\@dedic - \fi - \egroup % end of header box - \@tempdima=\headerboxheight - \advance\@tempdima by-\ht\authrun - \unvbox\authrun - \ifdim\@tempdima>0pt - \vrule width0pt height\@tempdima\par - \fi - \noindent{\small\@date\vskip 6.2mm} - \global\@minipagetrue - \global\everypar{\global\@minipagefalse\global\everypar{}}% -%\vskip22.47pt -} -% -\if@mathematic - \def\vec#1{\ensuremath{\mathchoice - {\mbox{\boldmath$\displaystyle\mathbf{#1}$}} - {\mbox{\boldmath$\textstyle\mathbf{#1}$}} - {\mbox{\boldmath$\scriptstyle\mathbf{#1}$}} - {\mbox{\boldmath$\scriptscriptstyle\mathbf{#1}$}}}} -\else - \def\vec#1{\ensuremath{\mathchoice - {\mbox{\boldmath$\displaystyle#1$}} - {\mbox{\boldmath$\textstyle#1$}} - {\mbox{\boldmath$\scriptstyle#1$}} - {\mbox{\boldmath$\scriptscriptstyle#1$}}}} -\fi -% -\def\tens#1{\ensuremath{\mathsf{#1}}} -% -\setcounter{secnumdepth}{3} -\newcounter {section} -\newcounter {subsection}[section] -\newcounter {subsubsection}[subsection] -\newcounter {paragraph}[subsubsection] -\newcounter {subparagraph}[paragraph] -\renewcommand\thesection {\@arabic\c@section} -\renewcommand\thesubsection {\thesection.\@arabic\c@subsection} -\renewcommand\thesubsubsection{\thesubsection.\@arabic\c@subsubsection} -\renewcommand\theparagraph {\thesubsubsection.\@arabic\c@paragraph} -\renewcommand\thesubparagraph {\theparagraph.\@arabic\c@subparagraph} -% -\def\@hangfrom#1{\setbox\@tempboxa\hbox{#1}% - \hangindent \z@\noindent\box\@tempboxa} -% -\def\@seccntformat#1{\csname the#1\endcsname\sectcounterend -\hskip\betweenumberspace} -% -\newif\if@sectrule -\if@twocolumn\else\let\@sectruletrue=\relax\fi -\if@avier\let\@sectruletrue=\relax\fi -\def\makesectrule{\if@sectrule\global\@sectrulefalse\null\vglue-\topskip -\hrule\nobreak\parskip=5pt\relax\fi} -% -\let\makesectruleori=\makesectrule -\def\restoresectrule{\global\let\makesectrule=\makesectruleori\global\@sectrulefalse} -\def\nosectrule{\let\makesectrule=\restoresectrule} -% -\def\@startsection#1#2#3#4#5#6{% - \if@noskipsec \leavevmode \fi - \par - \@tempskipa #4\relax - \@afterindenttrue - \ifdim \@tempskipa <\z@ - \@tempskipa -\@tempskipa \@afterindentfalse - \fi - \if@nobreak - \everypar{}% - \else - \addpenalty\@secpenalty\addvspace\@tempskipa - \fi - \ifnum#2=1\relax\@sectruletrue\fi - \@ifstar - {\@ssect{#3}{#4}{#5}{#6}}% - {\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}} -% -\def\@sect#1#2#3#4#5#6[#7]#8{% - \ifnum #2>\c@secnumdepth - \let\@svsec\@empty - \else - \refstepcounter{#1}% - \protected@edef\@svsec{\@seccntformat{#1}\relax}% - \fi - \@tempskipa #5\relax - \ifdim \@tempskipa>\z@ - \begingroup - #6{\makesectrule - \@hangfrom{\hskip #3\relax\@svsec}% - \raggedright - \hyphenpenalty \@M% - \interlinepenalty \@M #8\@@par}% - \endgroup - \csname #1mark\endcsname{#7}% - \addcontentsline{toc}{#1}{% - \ifnum #2>\c@secnumdepth \else - \protect\numberline{\csname the#1\endcsname\sectcounterend}% - \fi - #7}% - \else - \def\@svsechd{% - #6{\hskip #3\relax - \@svsec #8\/\hskip\aftertext}% - \csname #1mark\endcsname{#7}% - \addcontentsline{toc}{#1}{% - \ifnum #2>\c@secnumdepth \else - \protect\numberline{\csname the#1\endcsname}% - \fi - #7}}% - \fi - \@xsect{#5}} -% -\def\@ssect#1#2#3#4#5{% - \@tempskipa #3\relax - \ifdim \@tempskipa>\z@ - \begingroup - #4{\makesectrule - \@hangfrom{\hskip #1}% - \interlinepenalty \@M #5\@@par}% - \endgroup - \else - \def\@svsechd{#4{\hskip #1\relax #5}}% - \fi - \@xsect{#3}} - -% -% measures and setting of sections -% -\def\section{\@startsection{section}{1}{\z@}% - {-21dd plus-8pt minus-4pt}{10.5dd} - {\normalsize\bfseries\boldmath}} -\def\subsection{\@startsection{subsection}{2}{\z@}% - {-21dd plus-8pt minus-4pt}{10.5dd} - {\normalsize\upshape}} -\def\subsubsection{\@startsection{subsubsection}{3}{\z@}% - {-13dd plus-8pt minus-4pt}{10.5dd} - {\normalsize\itshape}} -\def\paragraph{\@startsection{paragraph}{4}{\z@}% - {-13pt plus-8pt minus-4pt}{\z@}{\normalsize\itshape}} - -\setlength\leftmargini {\parindent} -\leftmargin \leftmargini -\setlength\leftmarginii {\parindent} -\setlength\leftmarginiii {1.87em} -\setlength\leftmarginiv {1.7em} -\setlength\leftmarginv {.5em} -\setlength\leftmarginvi {.5em} -\setlength \labelsep {.5em} -\setlength \labelwidth{\leftmargini} -\addtolength\labelwidth{-\labelsep} -\@beginparpenalty -\@lowpenalty -\@endparpenalty -\@lowpenalty -\@itempenalty -\@lowpenalty -\renewcommand\theenumi{\@arabic\c@enumi} -\renewcommand\theenumii{\@alph\c@enumii} -\renewcommand\theenumiii{\@roman\c@enumiii} -\renewcommand\theenumiv{\@Alph\c@enumiv} -\newcommand\labelenumi{\theenumi.} -\newcommand\labelenumii{(\theenumii)} -\newcommand\labelenumiii{\theenumiii.} -\newcommand\labelenumiv{\theenumiv.} -\renewcommand\p@enumii{\theenumi} -\renewcommand\p@enumiii{\theenumi(\theenumii)} -\renewcommand\p@enumiv{\p@enumiii\theenumiii} -\newcommand\labelitemi{\normalfont\bfseries --} -\newcommand\labelitemii{\normalfont\bfseries --} -\newcommand\labelitemiii{$\m@th\bullet$} -\newcommand\labelitemiv{$\m@th\cdot$} - -\if@spthms -% definition of the "\spnewtheorem" command. -% -% Usage: -% -% \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font} -% or \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font} -% or \spnewtheorem*{env_nam}{caption}{cap_font}{body_font} -% -% New is "cap_font" and "body_font". It stands for -% fontdefinition of the caption and the text itself. -% -% "\spnewtheorem*" gives a theorem without number. -% -% A defined spnewthoerem environment is used as described -% by Lamport. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\def\@thmcountersep{} -\def\@thmcounterend{} -\newcommand\nocaption{\noexpand\@gobble} -\newdimen\spthmsep \spthmsep=5pt - -\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}} - -% definition of \spnewtheorem with number - -\def\@spnthm#1#2{% - \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}} -\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}} - -\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname - {\@definecounter{#1}\@addtoreset{#1}{#3}% - \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand - \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}% - \expandafter\xdef\csname #1name\endcsname{#2}% - \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}% - \global\@namedef{end#1}{\@endtheorem}}} - -\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname - {\@definecounter{#1}% - \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}% - \expandafter\xdef\csname #1name\endcsname{#2}% - \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}% - \global\@namedef{end#1}{\@endtheorem}}} - -\def\@spothm#1[#2]#3#4#5{% - \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}% - {\expandafter\@ifdefinable\csname #1\endcsname - {\global\@namedef{the#1}{\@nameuse{the#2}}% - \expandafter\xdef\csname #1name\endcsname{#3}% - \global\@namedef{#1}{\@spthm{#2}{\csname #1name\endcsname}{#4}{#5}}% - \global\@namedef{end#1}{\@endtheorem}}}} - -\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@ -\labelsep=\spthmsep\refstepcounter{#1}% -\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}} - -\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}% - \ignorespaces} - -\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname - the#1\endcsname}{#5}{#3}{#4}\ignorespaces} - -\def\normalthmheadings{\def\@spbegintheorem##1##2##3##4{\trivlist\normalfont - \item[\hskip\labelsep{##3##1\ ##2\@thmcounterend}]##4} -\def\@spopargbegintheorem##1##2##3##4##5{\trivlist - \item[\hskip\labelsep{##4##1\ ##2}]{##4(##3)\@thmcounterend\ }##5}} -\normalthmheadings - -\def\reversethmheadings{\def\@spbegintheorem##1##2##3##4{\trivlist\normalfont - \item[\hskip\labelsep{##3##2\ ##1\@thmcounterend}]##4} -\def\@spopargbegintheorem##1##2##3##4##5{\trivlist - \item[\hskip\labelsep{##4##2\ ##1}]{##4(##3)\@thmcounterend\ }##5}} - -% definition of \spnewtheorem* without number - -\def\@sthm#1#2{\@Ynthm{#1}{#2}} - -\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname - {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}% - \expandafter\xdef\csname #1name\endcsname{#2}% - \global\@namedef{end#1}{\@endtheorem}}} - -\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@ -\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}} - -\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces} - -\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1} - {#4}{#2}{#3}\ignorespaces} - -\def\@Begintheorem#1#2#3{#3\trivlist - \item[\hskip\labelsep{#2#1\@thmcounterend}]} - -\def\@Opargbegintheorem#1#2#3#4{#4\trivlist - \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }} - -% initialize theorem environment - -\if@envcntsect - \def\@thmcountersep{.} - \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape} -\else - \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape} - \if@envcntreset - \@addtoreset{theorem}{section} - \else - \@addtoreset{theorem}{chapter} - \fi -\fi - -%definition of divers theorem environments -\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily} -\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily} -\if@envcntsame % all environments like "Theorem" - using its counter - \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}} -\else % all environments with their own counter - \if@envcntsect % show section counter - \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}} - \else % not numbered with section - \if@envcntreset - \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4} - \@addtoreset{#1}{section}} - \else - \let\spn@wtheorem=\@spynthm - \fi - \fi -\fi -% -\let\spdefaulttheorem=\spn@wtheorem -% -\spn@wtheorem{case}{Case}{\itshape}{\rmfamily} -\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily} -\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape} -\spn@wtheorem{definition}{Definition}{\bfseries}{\rmfamily} -\spn@wtheorem{example}{Example}{\itshape}{\rmfamily} -\spn@wtheorem{exercise}{Exercise}{\bfseries}{\rmfamily} -\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape} -\spn@wtheorem{note}{Note}{\itshape}{\rmfamily} -\spn@wtheorem{problem}{Problem}{\bfseries}{\rmfamily} -\spn@wtheorem{property}{Property}{\itshape}{\rmfamily} -\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape} -\spn@wtheorem{question}{Question}{\itshape}{\rmfamily} -\spn@wtheorem{solution}{Solution}{\bfseries}{\rmfamily} -\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily} -% -\newenvironment{theopargself} - {\def\@spopargbegintheorem##1##2##3##4##5{\trivlist - \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5} - \def\@Opargbegintheorem##1##2##3##4{##4\trivlist - \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }}}{} -\newenvironment{theopargself*} - {\def\@spopargbegintheorem##1##2##3##4##5{\trivlist - \item[\hskip\labelsep{##4##1\ ##2}]{\hspace*{-\labelsep}##4##3\@thmcounterend}##5} - \def\@Opargbegintheorem##1##2##3##4{##4\trivlist - \item[\hskip\labelsep{##3##1}]{\hspace*{-\labelsep}##3##2\@thmcounterend}}}{} -% -\fi - -\def\@takefromreset#1#2{% - \def\@tempa{#1}% - \let\@tempd\@elt - \def\@elt##1{% - \def\@tempb{##1}% - \ifx\@tempa\@tempb\else - \@addtoreset{##1}{#2}% - \fi}% - \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname - \expandafter\def\csname cl@#2\endcsname{}% - \@tempc - \let\@elt\@tempd} - -\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}} -\def\qed{\ifmmode\else\unskip\quad\fi\squareforqed} -\def\smartqed{\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil -\penalty50\hskip1em\null\nobreak\hfil\squareforqed -\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}} - -% Define `abstract' environment -\def\abstract{\topsep=0pt\partopsep=0pt\parsep=0pt\itemsep=0pt\relax -\trivlist\item[\hskip\labelsep -{\bfseries\abstractname}]\if!\abstractname!\hskip-\labelsep\fi} -\if@twocolumn - \if@avier - \def\endabstract{\endtrivlist\addvspace{5mm}\strich} - \def\strich{\hrule\vskip1ptplus12pt} - \else - \def\endabstract{\endtrivlist\addvspace{3mm}} - \fi -\else -\fi -% -\newenvironment{verse} - {\let\\\@centercr - \list{}{\itemsep \z@ - \itemindent -1.5em% - \listparindent\itemindent - \rightmargin \leftmargin - \advance\leftmargin 1.5em}% - \item\relax} - {\endlist} -\newenvironment{quotation} - {\list{}{\listparindent 1.5em% - \itemindent \listparindent - \rightmargin \leftmargin - \parsep \z@ \@plus\p@}% - \item\relax} - {\endlist} -\newenvironment{quote} - {\list{}{\rightmargin\leftmargin}% - \item\relax} - {\endlist} -\newcommand\appendix{\par\small - \setcounter{section}{0}% - \setcounter{subsection}{0}% - \renewcommand\thesection{\@Alph\c@section}} -\setlength\arraycolsep{1.5\p@} -\setlength\tabcolsep{6\p@} -\setlength\arrayrulewidth{.4\p@} -\setlength\doublerulesep{2\p@} -\setlength\tabbingsep{\labelsep} -\skip\@mpfootins = \skip\footins -\setlength\fboxsep{3\p@} -\setlength\fboxrule{.4\p@} -\renewcommand\theequation{\@arabic\c@equation} -\newcounter{figure} -\renewcommand\thefigure{\@arabic\c@figure} -\def\fps@figure{tbp} -\def\ftype@figure{1} -\def\ext@figure{lof} -\def\fnum@figure{\figurename~\thefigure} -\newenvironment{figure} - {\@float{figure}} - {\end@float} -\newenvironment{figure*} - {\@dblfloat{figure}} - {\end@dblfloat} -\newcounter{table} -\renewcommand\thetable{\@arabic\c@table} -\def\fps@table{tbp} -\def\ftype@table{2} -\def\ext@table{lot} -\def\fnum@table{\tablename~\thetable} -\newenvironment{table} - {\@float{table}} - {\end@float} -\newenvironment{table*} - {\@dblfloat{table}} - {\end@dblfloat} -% -\def \@floatboxreset {% - \reset@font - \small - \@setnobreak - \@setminipage -} -% -\newcommand{\tableheadseprule}{\noalign{\hrule height.375mm}} -% -\newlength\abovecaptionskip -\newlength\belowcaptionskip -\setlength\abovecaptionskip{10\p@} -\setlength\belowcaptionskip{0\p@} -\newcommand\leftlegendglue{} - -\def\fig@type{figure} - -\newdimen\figcapgap\figcapgap=3pt -\newdimen\tabcapgap\tabcapgap=5.5pt - -\@ifundefined{floatlegendstyle}{\def\floatlegendstyle{\bfseries}}{} - -\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname - ext@#1\endcsname}{#1}{\protect\numberline{\csname - the#1\endcsname}{\ignorespaces #2}}\begingroup - \@parboxrestore - \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par - \endgroup} - -\def\capstrut{\vrule\@width\z@\@height\topskip} - -\@ifundefined{captionstyle}{\def\captionstyle{\normalfont\small}}{} - -\long\def\@makecaption#1#2{% - \captionstyle - \ifx\@captype\fig@type - \vskip\figcapgap - \fi - \setbox\@tempboxa\hbox{{\floatlegendstyle #1\floatcounterend}% - \capstrut #2}% - \ifdim \wd\@tempboxa >\hsize - {\floatlegendstyle #1\floatcounterend}\capstrut #2\par - \else - \hbox to\hsize{\leftlegendglue\unhbox\@tempboxa\hfil}% - \fi - \ifx\@captype\fig@type\else - \vskip\tabcapgap - \fi} - -\newdimen\figgap\figgap=1cc -\long\def\@makesidecaption#1#2{% - \parbox[b]{\@tempdimb}{\captionstyle{\floatlegendstyle - #1\floatcounterend}#2}} -\def\sidecaption#1\caption{% -\setbox\@tempboxa=\hbox{#1\unskip}% -\if@twocolumn - \ifdim\hsize<\textwidth\else - \ifdim\wd\@tempboxa<\columnwidth - \typeout{Double column float fits into single column - - ^^Jyou'd better switch the environment. }% - \fi - \fi -\fi -\@tempdimb=\hsize -\advance\@tempdimb by-\figgap -\advance\@tempdimb by-\wd\@tempboxa -\ifdim\@tempdimb<3cm - \typeout{\string\sidecaption: No sufficient room for the legend; - using normal \string\caption. }% - \unhbox\@tempboxa - \let\@capcommand=\@caption -\else - \let\@capcommand=\@sidecaption - \leavevmode - \unhbox\@tempboxa - \hfill -\fi -\refstepcounter\@captype -\@dblarg{\@capcommand\@captype}} - -\long\def\@sidecaption#1[#2]#3{\addcontentsline{\csname - ext@#1\endcsname}{#1}{\protect\numberline{\csname - the#1\endcsname}{\ignorespaces #2}}\begingroup - \@parboxrestore - \@makesidecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par - \endgroup} - -% Define `acknowledgement' environment -\def\acknowledgement{\par\addvspace{17pt}\small\rmfamily -\trivlist\if!\ackname!\item[]\else -\item[\hskip\labelsep -{\bfseries\ackname}]\fi} -\def\endacknowledgement{\endtrivlist\addvspace{6pt}} -\newenvironment{acknowledgements}{\begin{acknowledgement}} -{\end{acknowledgement}} -% Define `noteadd' environment -\def\noteadd{\par\addvspace{17pt}\small\rmfamily -\trivlist\item[\hskip\labelsep -{\itshape\noteaddname}]} -\def\endnoteadd{\endtrivlist\addvspace{6pt}} - -\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm} -\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf} -\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt} -\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf} -\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit} -\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl} -\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc} -\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal} -\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal} -\newcommand\@pnumwidth{1.55em} -\newcommand\@tocrmarg{2.55em} -\newcommand\@dotsep{4.5} -\setcounter{tocdepth}{1} -\newcommand\tableofcontents{% - \section*{\contentsname}% - \@starttoc{toc}% - \addtocontents{toc}{\begingroup\protect\small}% - \AtEndDocument{\addtocontents{toc}{\endgroup}}% - } -\newcommand*\l@part[2]{% - \ifnum \c@tocdepth >-2\relax - \addpenalty\@secpenalty - \addvspace{2.25em \@plus\p@}% - \begingroup - \setlength\@tempdima{3em}% - \parindent \z@ \rightskip \@pnumwidth - \parfillskip -\@pnumwidth - {\leavevmode - \large \bfseries #1\hfil \hb@xt@\@pnumwidth{\hss #2}}\par - \nobreak - \if@compatibility - \global\@nobreaktrue - \everypar{\global\@nobreakfalse\everypar{}}% - \fi - \endgroup - \fi} -\newcommand*\l@section{\@dottedtocline{1}{0pt}{1.5em}} -\newcommand*\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}} -\newcommand*\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}} -\newcommand*\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}} -\newcommand*\l@subparagraph{\@dottedtocline{5}{10em}{5em}} -\newcommand\listoffigures{% - \section*{\listfigurename - \@mkboth{\listfigurename}% - {\listfigurename}}% - \@starttoc{lof}% - } -\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}} -\newcommand\listoftables{% - \section*{\listtablename - \@mkboth{\listtablename}{\listtablename}}% - \@starttoc{lot}% - } -\let\l@table\l@figure -\newdimen\bibindent -\setlength\bibindent{\parindent} -\def\@biblabel#1{#1.} -\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw - {\let\protect\noexpand - \immediate - \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces} -\newenvironment{thebibliography}[1] - {\section*{\refname - \@mkboth{\refname}{\refname}}\small - \list{\@biblabel{\@arabic\c@enumiv}}% - {\settowidth\labelwidth{\@biblabel{#1}}% - \leftmargin\labelwidth - \advance\leftmargin\labelsep - \@openbib@code - \usecounter{enumiv}% - \let\p@enumiv\@empty - \renewcommand\theenumiv{\@arabic\c@enumiv}}% - \sloppy\clubpenalty4000\widowpenalty4000% - \sfcode`\.\@m} - {\def\@noitemerr - {\@latex@warning{Empty `thebibliography' environment}}% - \endlist} -% -\newcount\@tempcntc -\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi - \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do - {\@ifundefined - {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries - ?}\@warning - {Citation `\@citeb' on page \thepage \space undefined}}% - {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}% - \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne - 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\def\claimname{Pr\'etention}% - \def\conjecturename{Hypoth\`ese}% - \def\contentsname{Table des mati\`eres}% - \def\corollaryname{Corollaire}% - \def\definitionname{D\'efinition}% - \def\emailname{E-mail}% - \def\examplename{Exemple}% - \def\exercisename{Exercice}% - \def\figurename{Fig.}% - \def\keywordname{{\bfseries Mots-cl\'e\runinend}}% - \def\indexname{Index}% - \def\lemmaname{Lemme}% - \def\contriblistname{Liste des contributeurs}% - \def\listfigurename{Liste des figures}% - \def\listtablename{Liste des tables}% - \def\mailname{{\itshape Correspondence to\/}:}% - \def\noteaddname{Note ajout\'ee \`a l'\'epreuve}% - \def\notename{Remarque}% - \def\partname{Partie}% - \def\problemname{Probl\`eme}% - \def\proofname{Preuve}% - \def\propertyname{Caract\'eristique}% -%\def\propositionname{Proposition}% - \def\questionname{Question}% - \def\refname{Bibliographie}% - \def\remarkname{Remarque}% - \def\seename{voyez}% - \def\solutionname{Solution}% -%\def\subclassname{{\it Subject Classifications\/}:}% - \def\tablename{Tableau}% - \def\theoremname{Th\'eor\`eme}% -} -% -% German section -\def\switcht@deutsch{\svlanginfo -%\typeout{Man spricht deutsch.}% - \def\abstractname{Zusammenfassung\runinend}% - \def\ackname{Danksagung\runinend}% - \def\andname{und}% - \def\lastandname{ und}% - \def\appendixname{Anhang}% - \def\chaptername{Kapitel}% - \def\claimname{Behauptung}% - \def\conjecturename{Hypothese}% - \def\contentsname{Inhaltsverzeichnis}% - \def\corollaryname{Korollar}% -%\def\definitionname{Definition}% - \def\emailname{E-Mail}% - \def\examplename{Beispiel}% - \def\exercisename{\"Ubung}% - \def\figurename{Abb.}% - \def\keywordname{{\bfseries Schl\"usselw\"orter\runinend}}% - \def\indexname{Index}% -%\def\lemmaname{Lemma}% - \def\contriblistname{Mitarbeiter}% - \def\listfigurename{Abbildungsverzeichnis}% - \def\listtablename{Tabellenverzeichnis}% - \def\mailname{{\itshape Correspondence to\/}:}% - \def\noteaddname{Nachtrag}% - \def\notename{Anmerkung}% - \def\partname{Teil}% -%\def\problemname{Problem}% - \def\proofname{Beweis}% - \def\propertyname{Eigenschaft}% -%\def\propositionname{Proposition}% - \def\questionname{Frage}% - \def\refname{Literatur}% - \def\remarkname{Anmerkung}% - \def\seename{siehe}% - \def\solutionname{L\"osung}% -%\def\subclassname{{\it Subject Classifications\/}:}% - \def\tablename{Tabelle}% -%\def\theoremname{Theorem}% -} -\newcommand\today{} -\edef\today{\ifcase\month\or - January\or February\or March\or April\or May\or June\or - July\or August\or September\or October\or November\or December\fi - \space\number\day, \number\year} -\setlength\columnsep{1.5cc} -\setlength\columnseprule{0\p@} -% -\frenchspacing -\clubpenalty=10000 -\widowpenalty=10000 -\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil -\global\let\@textbottom\relax}} -\pagestyle{headings} -\pagenumbering{arabic} -\if@twocolumn - \twocolumn -\fi -\if@avier - \onecolumn - \setlength{\textwidth}{156mm} - \setlength{\textheight}{226mm} -\fi -\if@referee - \makereferee -\fi -\flushbottom -\endinput -%% -%% End of file `svjour2.cls'. diff --git a/vldb/pt/vldb.tex b/vldb/pt/vldb.tex deleted file mode 100644 index 807080a..0000000 --- a/vldb/pt/vldb.tex +++ /dev/null @@ -1,150 +0,0 @@ -%%%%%%%%%%%%%%%%%%%%%%% file template.tex %%%%%%%%%%%%%%%%%%%%%%%%% -% -% This is a template file for the LaTeX package SVJour2 for the -% Springer journal "The VLDB Journal". -% -% Springer Heidelberg 2004/12/03 -% -% Copy it to a new file with a new name and use it as the basis -% for your article. Delete % as needed. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% First comes an example EPS file -- just ignore it and -% proceed on the \documentclass line -% your LaTeX will extract the file if required -%\begin{filecontents*}{figs/minimalperfecthash-ph-mph.ps} -%!PS-Adobe-3.0 EPSF-3.0 -%%BoundingBox: 19 19 221 221 -%%CreationDate: Mon Sep 29 1997 -%%Creator: programmed by hand (JK) -%%EndComments -%gsave -%newpath -% 20 20 moveto -% 20 220 lineto -% 220 220 lineto -% 220 20 lineto -%closepath -%2 setlinewidth -%gsave -% .4 setgray fill -%grestore -%stroke -%grestore -%\end{filecontents*} -% -\documentclass[twocolumn,fleqn,runningheads]{svjour2} -% -\smartqed % flush right qed marks, e.g. at end of proof -% -\usepackage{graphicx} -\usepackage{listings} -% -% \usepackage{mathptmx} % use Times fonts if available on your TeX system -% -% insert here the call for the packages your document requires -%\usepackage{latexsym} -% etc. -% -% please place your own definitions here and don't use \def but -% \newcommand{}{} -% - -\lstset{ - language=Pascal, - basicstyle=\fontsize{9}{9}\selectfont, - captionpos=t, - aboveskip=1mm, - belowskip=1mm, - abovecaptionskip=1mm, - belowcaptionskip=1mm, -% numbers = left, - mathescape=true, - escapechar=@, - extendedchars=true, - showstringspaces=false, - columns=fixed, - basewidth=0.515em, - frame=single, - framesep=2mm, - xleftmargin=2mm, - xrightmargin=2mm, - framerule=0.5pt -} - -\def\cG{{\mathcal G}} -\def\crit{{\rm crit}} -\def\ncrit{{\rm ncrit}} -\def\scrit{{\rm scrit}} -\def\bedges{{\rm bedges}} -\def\ZZ{{\mathbb Z}} - -\journalname{The VLDB Journal} -% -\begin{document} - -\title{Minimal Perfect Hash Functions: New Algorithms and Applications\thanks{ -This work was supported in part by -GERINDO Project--grant MCT/CNPq/CT-INFO 552.087/02-5, -CAPES/PROF Scholarship (Fabiano C. Botelho), -FAPESP Proj.\ Tem.\ 03/09925-5 and CNPq Grant 30.0334/93-1 -(Yoshiharu Kohayakawa), -and CNPq Grant 30.5237/02-0 (Nivio Ziviani).} -} -%\subtitle{Do you have a subtitle?\\ If so, write it here} - -%\titlerunning{Short form of title} % if too long for running head - -\author{Fabiano C. Botelho \and Davi C. Reis \and Yoshiharu Kohayakawa \and Nivio Ziviani} -%\authorrunning{Short form of author list} % if too long for running head -\institute{ -F. C. Botelho \and -N. Ziviani \at -Dept. of Computer Science, -Federal Univ. of Minas Gerais, -Belo Horizonte, Brazil\\ -\email{\{fbotelho,nivio\}@dcc.ufmg.br} -\and -D. C. Reis \at -Google, Brazil \\ -\email{davi.reis@gmail.com} -\and -Y. Kohayakawa -Dept. of Computer Science, -Univ. of S\~ao Paulo, -S\~ao Paulo, Brazil\\ -\email{yoshi@ime.usp.br} -} - -\date{Received: date / Accepted: date} -% The correct dates will be entered by the editor - - -\maketitle - -\begin{abstract} -Insert your abstract here. Include up to five keywords. -\keywords{First keyword \and Second keyword \and More} -\end{abstract} - -% main text -\input{introduction} -\input{relatedwork} -\input{algorithms} -\input{experimentalresults} -\input{applications} -\input{conclusions} - - -%\begin{acknowledgements} -%If you'd like to thank anyone, place your comments here -%and remove the percent signs. -%\end{acknowledgements} - -% BibTeX users please use -%\bibliographystyle{spmpsci} -%\bibliography{} % name your BibTeX data base -\bibliographystyle{plain} -\bibliography{references} -\end{document}