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<div class="subTitle">org.jgrapht.alg</div>
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<h2 title="Class HamiltonianCycle" class="title">Class HamiltonianCycle</h2>
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<li>org.jgrapht.alg.HamiltonianCycle</li>
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<pre>public class <span class="strong">HamiltonianCycle</span>
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extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
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<div class="block">This class will deal with finding the optimal or approximately optimal
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minimum tour (hamiltonian cycle) or commonly known as the <a
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href="http://mathworld.wolfram.com/TravelingSalesmanProblem.html">Traveling
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Salesman Problem</a>.</div>
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<dl><dt><span class="strong">Author:</span></dt>
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<dd>Andrew Newell</dd></dl>
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<td class="colOne"><code><strong><a href="../../../org/jgrapht/alg/HamiltonianCycle.html#HamiltonianCycle()">HamiltonianCycle</a></strong>()</code> </td>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><code>static <V,E> <a href="http://docs.oracle.com/javase/7/docs/api/java/util/List.html?is-external=true" title="class or interface in java.util">List</a><V></code></td>
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<td class="colLast"><code><strong><a href="../../../org/jgrapht/alg/HamiltonianCycle.html#getApproximateOptimalForCompleteGraph(org.jgrapht.graph.SimpleWeightedGraph)">getApproximateOptimalForCompleteGraph</a></strong>(<a href="../../../org/jgrapht/graph/SimpleWeightedGraph.html" title="class in org.jgrapht.graph">SimpleWeightedGraph</a><V,E> g)</code>
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<div class="block">This method will return an approximate minimal traveling salesman tour
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(hamiltonian cycle).</div>
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</td>
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<a name="HamiltonianCycle()">
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<h4>HamiltonianCycle</h4>
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<pre>public HamiltonianCycle()</pre>
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<a name="getApproximateOptimalForCompleteGraph(org.jgrapht.graph.SimpleWeightedGraph)">
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<h4>getApproximateOptimalForCompleteGraph</h4>
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<pre>public static <V,E> <a href="http://docs.oracle.com/javase/7/docs/api/java/util/List.html?is-external=true" title="class or interface in java.util">List</a><V> getApproximateOptimalForCompleteGraph(<a href="../../../org/jgrapht/graph/SimpleWeightedGraph.html" title="class in org.jgrapht.graph">SimpleWeightedGraph</a><V,E> g)</pre>
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<div class="block">This method will return an approximate minimal traveling salesman tour
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(hamiltonian cycle). This algorithm requires that the graph be complete
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and the triangle inequality exists (if x,y,z are vertices then
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d(x,y)+d(y,z) < d(x,z) for all x,y,z) then this algorithm will
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guarantee a hamiltonian cycle such that the total weight of the cycle is
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less than or equal to double the total weight of the optimal hamiltonian
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cycle. The optimal solution is NP-complete, so this is a decent
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approximation that runs in polynomial time.</div>
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<dl><dt><span class="strong">Type Parameters:</span></dt><dd><code>V</code> - </dd><dd><code>E</code> - </dd><dt><span class="strong">Parameters:</span></dt><dd><code>g</code> - is the graph to find the optimal tour for.</dd>
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<dt><span class="strong">Returns:</span></dt><dd>The optimal tour as a list of vertices.</dd></dl>
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