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    <div id="titlebar">Graph Theory: Industrial Drilling</div>
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			Home &gt; Graph Theory: Industrial Drilling
					&gt; Foundations
					&gt; What is a Graph?</div>
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        <a class="toc_link" href="page1.xml">The Drilling Problem</a>
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        <a class="toc_link" href="page4.xml">Objectives</a>
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        <a class="toc_link" href="">Foundations</a>
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        <a class="toc_link" href="page5.xml">What is a Graph?</a>
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        <a class="toc_link" href="page7.xml">Edges and Vertices</a>
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        <a class="toc_link" href="page10.xml">A First Theorem</a>
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        <a class="toc_link" href="page12.xml">Types of Graphs</a>
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        <a class="toc_link" href="page15.xml">Subgraphs and Supergraphs</a>
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        <a class="toc_link" href="page18.xml">Walks, Paths, Cycles</a>
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        <a class="toc_link" href="page21.xml">Trees</a>
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        <a class="toc_link" href="">Solving the Drilling Problem</a>
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        <a class="toc_link" href="page24.xml">Independent Sets, Cliques, etc.</a>
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        <a class="toc_link" href="page26.xml">Vertex Coloring</a>
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        <a class="toc_link" href="page28.xml">Modeling it as a Graph Theory Problem</a>
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        <a class="toc_link" href="page31.xml">First Lower Bound</a>
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        <a class="toc_link" href="page33.xml">The Inside View</a>
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        <a class="toc_link" href="page34.xml">A Good Coloring</a>
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        <a class="toc_link" href="page38.xml">What's Next?</a>
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    <div id="content"><h1>What is a Graph?</h1>
				
					<p><div class="problem"><a name="problem1"/><b>Problem
				1:
			</b><br/>
						
							<p>
								Construct all graphs having 4 vertices.
							</p>
							<p>
								After you have attempted the above problem, read this
							</p>
							<br/><a target="_new" href="external1.xml">comment.</a>
						
					</div></p>
					<p><div class="problem"><a name="problem2"/><b>Problem
				2:
			</b><br/>
						
						<p>
							Do the drawings below represent different graphs?
						</p>
							<div align="center"><applet archive="DiffGraphs.jar" codebase="../../../applets/dist/" code="links/applet/DiffGraphs/DiffGraphs.class" width="510" height="360">
								<param name="Image1" value="/links/applet/DiffGraphs/graphA.gif"> </param>
								<param name="Image2" value="/links/applet/DiffGraphs/graphB.gif"> </param>
								<param name="Image3" value="/links/applet/DiffGraphs/graphC.gif"> </param>
								<param name="areSame" value="true"> </param>
							 </applet></div>
						
					</div></p>
				
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