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

<record version="8" id="3131">
 <title>null graph</title>
 <name>NullGraph</name>
 <created>2002-06-24 19:38:14</created>
 <modified>2005-06-29 12:34:38</modified>
 <type>Definition</type>
 <creator id="2727" name="mathcam"/>
 <author id="2727" name="mathcam"/>
 <author id="390" name="wombat"/>
 <classification>
	<category scheme="msc" code="05C99"/>
 </classification>
 <synonyms>
	<synonym concept="null graph" alias="empty graph"/>
 </synonyms>
 <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}
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\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>The null graph is the graph with no vertices or edges.  The null graph is the initial object in the category of graphs.

{\bf Further Reading}
\begin{itemize}
\item Harary, F. and Read, R.  ``Is the null-graph a pointless concept?'', Lecture Notes in Mathematics 406 (1974), pp. 37-44.
\end{itemize}</content>
</record>
