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

<record version="6" id="476">
 <title>Hamiltonian cycle</title>
 <name>HamiltonianCycle</name>
 <created>2001-10-24 13:12:00</created>
 <modified>2008-12-14 23:33:09</modified>
 <type>Definition</type>
 <creator id="3771" name="CWoo"/>
 <author id="3771" name="CWoo"/>
 <author id="6075" name="rspuzio"/>
 <author id="409" name="mps"/>
 <author id="3" name="drini"/>
 <classification>
	<category scheme="msc" code="05C45"/>
 </classification>
 <related>
	<object name="HamiltonianGraph"/>
	<object name="HamiltonianPath"/>
	<object name="GraphTheory"/>
	<object name="Traceable"/>
 </related>
 <keywords>
	<term>Graph</term>
 </keywords>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}</preamble>
 <content>Let $G$ be a graph. If there is a cycle visiting all vertices of $G$ exactly once, we say that the cycle is a \emph{Hamiltonian cycle}.  A graph having a Hamiltonian cycle is called a \emph{Hamiltonian graph}.</content>
</record>
