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								<title>org.jgrapht.alg (JGraphT : a free Java graph library)</title>
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								<h1 title="Package" class="title">Package org.jgrapht.alg</h1>
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								<div class="docSummary">
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								<div class="block">Algorithms provided with <b>JGraphT</b>.</div>
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								</div>
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								<p>See: <a href="#package_description">Description</a></p>
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								<table class="packageSummary" border="0" cellpadding="3" cellspacing="0" summary="Class Summary table, listing classes, and an explanation">
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								<caption><span>Class Summary</span><span class="tabEnd"> </span></caption>
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								<tr>
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								<th class="colFirst" scope="col">Class</th>
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								<th class="colLast" scope="col">Description</th>
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								</tr>
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								<tbody>
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								<tr class="altColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/AllDirectedPaths.html" title="class in org.jgrapht.alg">AllDirectedPaths</a><V,E></td>
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								<td class="colLast">
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								<div class="block">A Dijkstra-like algorithm to find all paths between two sets of nodes in a
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								 directed graph, with options to search only simple paths and to limit the
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								 path length.</div>
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								</td>
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								</tr>
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								<tr class="rowColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/AStarShortestPath.html" title="class in org.jgrapht.alg">AStarShortestPath</a><V,E></td>
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								<td class="colLast">
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								<div class="block">An implementation of <a
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								 href="http://en.wikipedia.org/wiki/A*_search_algorithm">A* shortest path
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								 algorithm</a>.</div>
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								</td>
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								</tr>
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								<tr class="altColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/BellmanFordShortestPath.html" title="class in org.jgrapht.alg">BellmanFordShortestPath</a><V,E></td>
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								<td class="colLast">
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								<div class="block"><a href="http://www.nist.gov/dads/HTML/bellmanford.html">Bellman-Ford
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								 algorithm</a>: weights could be negative, paths could be constrained by a
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								 maximum number of edges.</div>
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								</td>
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								</tr>
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/BiconnectivityInspector.html" title="class in org.jgrapht.alg">BiconnectivityInspector</a><V,E></td>
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								<td class="colLast">
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								<div class="block">Inspects a graph for the biconnectivity property.</div>
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								</td>
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								</tr>
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								<tr class="altColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="class in org.jgrapht.alg">BlockCutpointGraph</a><V,E></td>
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								<td class="colLast">
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								<div class="block">Definition of a <a href="http://mathworld.wolfram.com/Block.html">block of a
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								 graph</a> in MathWorld.<br>
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								 Definition and lemma taken from the article <a
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								 href="http://www.albany.edu/~goel/publications/rosencrantz2005.pdf">
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								 Structure-Based Resilience Metrics for Service-Oriented Networks</a>:
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								 <b>Definition 4.5</b> Let G(V; E) be a connected undirected graph.</div>
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								</td>
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								</tr>
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/BronKerboschCliqueFinder.html" title="class in org.jgrapht.alg">BronKerboschCliqueFinder</a><V,E></td>
							 | 
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								<td class="colLast">
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								<div class="block">This class implements Bron-Kerbosch clique detection algorithm as it is
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								 described in [Samudrala R.,Moult J.:A Graph-theoretic Algorithm for
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								 comparative Modeling of Protein Structure; J.Mol.</div>
							 | 
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								</td>
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								</tr>
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								<tr class="altColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/ChromaticNumber.html" title="class in org.jgrapht.alg">ChromaticNumber</a></td>
							 | 
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								<td class="colLast">
							 | 
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								<div class="block">Allows the <a href="http://mathworld.wolfram.com/ChromaticNumber.html">
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								 chromatic number</a> of a graph to be calculated.</div>
							 | 
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								</td>
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								</tr>
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								<tr class="rowColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/CliqueMinimalSeparatorDecomposition.html" title="class in org.jgrapht.alg">CliqueMinimalSeparatorDecomposition</a><V,E></td>
							 | 
						||
| 
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								<td class="colLast">
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								<div class="block">Clique Minimal Separator Decomposition using MCS-M+ and Atoms algorithm as
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								 described in Berry et al.</div>
							 | 
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								</td>
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								</tr>
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								<tr class="altColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/ConnectivityInspector.html" title="class in org.jgrapht.alg">ConnectivityInspector</a><V,E></td>
							 | 
						||
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								<td class="colLast">
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								<div class="block">Allows obtaining various connectivity aspects of a graph.</div>
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								</td>
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								</tr>
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								<tr class="rowColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/CycleDetector.html" title="class in org.jgrapht.alg">CycleDetector</a><V,E></td>
							 | 
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								<td class="colLast">
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								<div class="block">Performs cycle detection on a graph.</div>
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								</td>
							 | 
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								</tr>
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								<tr class="altColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/DijkstraShortestPath.html" title="class in org.jgrapht.alg">DijkstraShortestPath</a><V,E></td>
							 | 
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| 
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								<td class="colLast">
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								<div class="block">An implementation of <a
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								 href="http://mathworld.wolfram.com/DijkstrasAlgorithm.html">Dijkstra's
							 | 
						||
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								 shortest path algorithm</a> using <code>ClosestFirstIterator</code>.</div>
							 | 
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								</td>
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								</tr>
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								<tr class="rowColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/DirectedNeighborIndex.html" title="class in org.jgrapht.alg">DirectedNeighborIndex</a><V,E></td>
							 | 
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								<td class="colLast">
							 | 
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								<div class="block">Maintains a cache of each vertex's neighbors.</div>
							 | 
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								</td>
							 | 
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								</tr>
							 | 
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								<tr class="altColor">
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/EdmondsBlossomShrinking.html" title="class in org.jgrapht.alg">EdmondsBlossomShrinking</a><V,E></td>
							 | 
						||
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								<td class="colLast">
							 | 
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| 
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								<div class="block">An implementation of Edmonds Blossom Shrinking algorithm for constructing
							 | 
						||
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								 maximum matchings on graphs.</div>
							 | 
						||
| 
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								</td>
							 | 
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								</tr>
							 | 
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								<tr class="rowColor">
							 | 
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/EdmondsKarpMaximumFlow.html" title="class in org.jgrapht.alg">EdmondsKarpMaximumFlow</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">Deprecated
							 | 
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| 
								 | 
							
								<div class="block"><i>Use <a href="../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="class in org.jgrapht.alg.flow"><code>EdmondsKarpMaximumFlow</code></a> instead</i></div>
							 | 
						||
| 
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								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
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								<tr class="altColor">
							 | 
						||
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/EulerianCircuit.html" title="class in org.jgrapht.alg">EulerianCircuit</a></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">This algorithm will check whether a graph is Eulerian (hence it contains an
							 | 
						||
| 
								 | 
							
								 <a href="http://mathworld.wolfram.com/EulerianCircuit.html">Eulerian
							 | 
						||
| 
								 | 
							
								 circuit</a>).</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="rowColor">
							 | 
						||
| 
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/FloydWarshallShortestPaths.html" title="class in org.jgrapht.alg">FloydWarshallShortestPaths</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">The <a href="http://en.wikipedia.org/wiki/Floyd-Warshall_algorithm">
							 | 
						||
| 
								 | 
							
								 Floyd-Warshall algorithm</a> finds all shortest paths (all n^2 of them) in
							 | 
						||
| 
								 | 
							
								 O(n^3) time.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="altColor">
							 | 
						||
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/GabowStrongConnectivityInspector.html" title="class in org.jgrapht.alg">GabowStrongConnectivityInspector</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
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								 | 
							
								<div class="block">Allows obtaining the strongly connected components of a directed graph.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
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								 | 
							
								<tr class="rowColor">
							 | 
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								<td class="colFirst"><a href="../../../org/jgrapht/alg/HamiltonianCycle.html" title="class in org.jgrapht.alg">HamiltonianCycle</a></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">This class will deal with finding the optimal or approximately optimal
							 | 
						||
| 
								 | 
							
								 minimum tour (hamiltonian cycle) or commonly known as the <a
							 | 
						||
| 
								 | 
							
								 href="http://mathworld.wolfram.com/TravelingSalesmanProblem.html">Traveling
							 | 
						||
| 
								 | 
							
								 Salesman Problem</a>.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="altColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/HopcroftKarpBipartiteMatching.html" title="class in org.jgrapht.alg">HopcroftKarpBipartiteMatching</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">This class is an implementation of the Hopcroft-Karp algorithm which finds a
							 | 
						||
| 
								 | 
							
								 maximum matching in an undirected simple bipartite graph.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="rowColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/KosarajuStrongConnectivityInspector.html" title="class in org.jgrapht.alg">KosarajuStrongConnectivityInspector</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">Complements the <a href="../../../org/jgrapht/alg/ConnectivityInspector.html" title="class in org.jgrapht.alg"><code>ConnectivityInspector</code></a> class with
							 | 
						||
| 
								 | 
							
								 the capability to compute the strongly connected components of a directed
							 | 
						||
| 
								 | 
							
								 graph.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="altColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/KruskalMinimumSpanningTree.html" title="class in org.jgrapht.alg">KruskalMinimumSpanningTree</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">An implementation of <a
							 | 
						||
| 
								 | 
							
								 href="http://en.wikipedia.org/wiki/Kruskal's_algorithm">Kruskal's minimum
							 | 
						||
| 
								 | 
							
								 spanning tree algorithm</a>.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="rowColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/KShortestPaths.html" title="class in org.jgrapht.alg">KShortestPaths</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">The algorithm determines the k shortest simple paths in increasing order of
							 | 
						||
| 
								 | 
							
								 weight.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="altColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="class in org.jgrapht.alg">KuhnMunkresMinimalWeightBipartitePerfectMatching</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">Kuhn-Munkres algorithm (named in honor of Harold Kuhn and James Munkres)
							 | 
						||
| 
								 | 
							
								 solving <i>assignment problem</i> also known as <a
							 | 
						||
| 
								 | 
							
								 href=http://en.wikipedia.org/wiki/Hungarian_algorithm>hungarian algorithm</a>
							 | 
						||
| 
								 | 
							
								 (in the honor of hungarian mathematicians Dénes K?nig and Jen? Egerváry).</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="rowColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.KuhnMunkresMatrixImplementation.html" title="class in org.jgrapht.alg">KuhnMunkresMinimalWeightBipartitePerfectMatching.KuhnMunkresMatrixImplementation</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">...</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="rowColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/MaximumWeightBipartiteMatching.html" title="class in org.jgrapht.alg">MaximumWeightBipartiteMatching</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">This class finds a maximum weight matching of a simple undirected weighted
							 | 
						||
| 
								 | 
							
								 bipartite graph.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="altColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/MinSourceSinkCut.html" title="class in org.jgrapht.alg">MinSourceSinkCut</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">Given a directed, weighted graph G(V,E).</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="rowColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/NaiveLcaFinder.html" title="class in org.jgrapht.alg">NaiveLcaFinder</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast"> </td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="altColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/NeighborIndex.html" title="class in org.jgrapht.alg">NeighborIndex</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">Maintains a cache of each vertex's neighbors.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="rowColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/PrimMinimumSpanningTree.html" title="class in org.jgrapht.alg">PrimMinimumSpanningTree</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">An implementation of <a href="http://en.wikipedia.org/wiki/Prim's_algorithm">
							 | 
						||
| 
								 | 
							
								 Prim's algorithm</a> that finds a minimum spanning tree/forest subject to
							 | 
						||
| 
								 | 
							
								 connectivity of the supplied weighted undirected graph.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="altColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/StoerWagnerMinimumCut.html" title="class in org.jgrapht.alg">StoerWagnerMinimumCut</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">Implements the <a href="http://dl.acm.org/citation.cfm?id=263872">Stoer and
							 | 
						||
| 
								 | 
							
								 Wagner minimum cut algorithm</a>.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="altColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/StrongConnectivityInspector.html" title="class in org.jgrapht.alg">StrongConnectivityInspector</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">Deprecated
							 | 
						||
| 
								 | 
							
								<div class="block"><i>Use <a href="../../../org/jgrapht/alg/KosarajuStrongConnectivityInspector.html" title="class in org.jgrapht.alg"><code>KosarajuStrongConnectivityInspector</code></a> instead.</i></div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="rowColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/TarjanLowestCommonAncestor.html" title="class in org.jgrapht.alg">TarjanLowestCommonAncestor</a><V,E></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">Used to calculate Tarjan's Lowest Common Ancestors Algorithm</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="altColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/TarjanLowestCommonAncestor.LcaRequestResponse.html" title="class in org.jgrapht.alg">TarjanLowestCommonAncestor.LcaRequestResponse</a><V></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast"> </td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="rowColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/TransitiveClosure.html" title="class in org.jgrapht.alg">TransitiveClosure</a></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">Constructs the transitive closure of the input graph.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="altColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/TransitiveReduction.html" title="class in org.jgrapht.alg">TransitiveReduction</a></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">An implementation of Harry Hsu's <a
							 | 
						||
| 
								 | 
							
								 href="https://en.wikipedia.org/wiki/Transitive_reduction">transitive
							 | 
						||
| 
								 | 
							
								 reduction algorithm</a>.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr class="rowColor">
							 | 
						||
| 
								 | 
							
								<td class="colFirst"><a href="../../../org/jgrapht/alg/VertexCovers.html" title="class in org.jgrapht.alg">VertexCovers</a></td>
							 | 
						||
| 
								 | 
							
								<td class="colLast">
							 | 
						||
| 
								 | 
							
								<div class="block">Algorithms to find a vertex cover for a graph.</div>
							 | 
						||
| 
								 | 
							
								</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								</tbody>
							 | 
						||
| 
								 | 
							
								</table>
							 | 
						||
| 
								 | 
							
								</li>
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								</ul>
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								<!--   -->
							 | 
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							 | 
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| 
								 | 
							
								<h2 title="Package org.jgrapht.alg Description">Package org.jgrapht.alg Description</h2>
							 | 
						||
| 
								 | 
							
								<div class="block">Algorithms provided with <b>JGraphT</b>.</div>
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