% Template file for a submission of LaTeX abstracts of talks 
% at the Czech-Slovak Graph Theory Conference at V. Ruzbachy 2004.
%
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% No changes in the header part please: 
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\documentclass[12pt]{article} 

\def\title#1{\xdef\xtit{#1}} 
\def\speaker#1{\xdef\xspk{#1}} 
\def\coauthors#1{\xdef\xcoa{#1}}
\def\abstract#1{\xdef\xabs{#1}} 
\def\affiliation#1{\xdef\xaff{#1}} 
\def\email#1{\xdef\xeml{#1}} 
 
\def\makeabstract{\centerline{\Large\bf \xtit}\bigskip
                  \centerline{\bf \xspk}\smallskip
                  \centerline{(joint work with \xcoa)}\bigskip
                  \xabs\bigskip}
\def\makelist{\noindent
              {\bf \xspk}\newline
              \xaff \newline
              {\tt \xeml}}                  

\begin{document}
\thispagestyle{empty}

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%   PLEASE ENTER YOUR DATA BELOW 
% 

  % The title of the talk (preferably in English)
  \title{Vertices, edges and faces of planar graphs} 

  % The full name of the speaker
  % For accented characters, please use the macros \v, \', etc. 
  \speaker{Alad\'{a}r Vrchol}
  
  % The full names of any coauthors
  % For accented characters, please use the macros \v, \', etc. 
  \coauthors{Bibi\'{a}na Hranov\'{a}, \v Cestm\'{\i}r St\v{e}na}

  % The text of the abstract (preferably in English)
  \abstract{We present new upper bound for the number of vertices 
  and new lower bounds for the number of edges and for the minimum 
  face size of a planar graph.}  
  
  % The speaker's home institution
  \affiliation{Institute of Mathematics, 
  P. J. \v{S}af\'{a}rik University, Ko\v{s}ice} 

  % The speaker's email address
  \email{vrchol@science.upjs.sk}

%
%   Thank you for sending your submission to csgt2004@science.upjs.sk 
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\makeabstract

\vspace{1cm}
\makelist 

\end{document}