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			Home &gt; Graph Theory: Industrial Drilling
					&gt; Foundations
					&gt; Walks, Paths, Cycles</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="">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="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="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="page38.xml">What's Next?</a>
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    <div id="content"><h1>Walks, Paths, Cycles</h1>
				
					<p><div class="problem"><a name="problem15"/><b>Problem
				15:
			</b><br/>
						
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							Find a walk in the graph which contains all the vertices
							of the graph.
						</p>
						<div class="figure" align="center"><a name=""/><img src="../graphics/graph2a.gif"/><br/><b><i>Figure 14</i></b><br/><br/></div>
						
						<a target="_new" href="answer11.xml">Answer</a>
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					<p><div class="problem"><a name="problem16"/><b>Problem
				16:
			</b><br/>
						
						<p>
						Find a walk from vertex <m:math><m:mi>e</m:mi></m:math> to vertex <m:math><m:mi>g</m:mi></m:math> which does not repeat any vertex.
						</p>
						
						<a target="_new" href="answer12.xml">Answer</a>
					</div></p>
					<p><div class="problem"><a name="problem17"/><b>Problem
				17:
			</b><br/>
						
						<p>
						Which of the below graphs is connected and which is not?
						Find all connected components of each graph.
						</p>
						<div class="figure" align="center"><a name=""/><img src="../graphics/connectedA.gif"/><br/><b><i>Figure 15</i></b><br/><br/></div>
						<div class="figure" align="center"><a name=""/><img src="../graphics/connectedB.gif"/><br/><b><i>Figure 16</i></b><br/><br/></div>
						
						<a target="_new" href="answer13.xml">Answer</a>
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