<?xml version="1.0" encoding="UTF-8"?>

<record version="2" id="2768">
 <title>bridge</title>
 <name>Bridge</name>
 <created>2002-03-07 13:02:09</created>
 <modified>2002-03-07 16:19:22</modified>
 <type>Definition</type>
 <creator id="76" name="digitalis"/>
 <author id="76" name="digitalis"/>
 <classification>
	<category scheme="msc" code="05C99"/>
 </classification>
 <related>
	<object name="Cutvertex"/>
	<object name="ConnectedGraph"/>
	<object name="Block"/>
 </related>
 <preamble>% this is the default PlanetMath preamble.  as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.

% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic} 

% there are many more packages, add them here as you need them

% define commands here</preamble>
 <content>A \emph{bridge} of a graph $G$ is an edge whose deletion increases the number of components of $G$. The vertex analogue of a bridge is a cutvertex.</content>
</record>
