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<h1 title="Package" class="title">Package&nbsp;org.jgrapht.alg</h1>
<div class="docSummary">
<div class="block">Algorithms provided with <b>JGraphT</b>.</div>
</div>
<p>See:&nbsp;<a href="#package_description">Description</a></p>
</div>
<div class="contentContainer">
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<table class="packageSummary" border="0" cellpadding="3" cellspacing="0" summary="Class Summary table, listing classes, and an explanation">
<caption><span>Class Summary</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Class</th>
<th class="colLast" scope="col">Description</th>
</tr>
<tbody>
<tr class="altColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/AllDirectedPaths.html" title="class in org.jgrapht.alg">AllDirectedPaths</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">A Dijkstra-like algorithm to find all paths between two sets of nodes in a
directed graph, with options to search only simple paths and to limit the
path length.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/AStarShortestPath.html" title="class in org.jgrapht.alg">AStarShortestPath</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">An implementation of <a
href="http://en.wikipedia.org/wiki/A*_search_algorithm">A* shortest path
algorithm</a>.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/BellmanFordShortestPath.html" title="class in org.jgrapht.alg">BellmanFordShortestPath</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block"><a href="http://www.nist.gov/dads/HTML/bellmanford.html">Bellman-Ford
algorithm</a>: weights could be negative, paths could be constrained by a
maximum number of edges.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/BiconnectivityInspector.html" title="class in org.jgrapht.alg">BiconnectivityInspector</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">Inspects a graph for the biconnectivity property.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="class in org.jgrapht.alg">BlockCutpointGraph</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">Definition of a <a href="http://mathworld.wolfram.com/Block.html">block of a
graph</a> in MathWorld.<br>
Definition and lemma taken from the article <a
href="http://www.albany.edu/~goel/publications/rosencrantz2005.pdf">
Structure-Based Resilience Metrics for Service-Oriented Networks</a>:
<b>Definition 4.5</b> Let G(V; E) be a connected undirected graph.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/BronKerboschCliqueFinder.html" title="class in org.jgrapht.alg">BronKerboschCliqueFinder</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">This class implements Bron-Kerbosch clique detection algorithm as it is
described in [Samudrala R.,Moult J.:A Graph-theoretic Algorithm for
comparative Modeling of Protein Structure; J.Mol.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/ChromaticNumber.html" title="class in org.jgrapht.alg">ChromaticNumber</a></td>
<td class="colLast">
<div class="block">Allows the <a href="http://mathworld.wolfram.com/ChromaticNumber.html">
chromatic number</a> of a graph to be calculated.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/CliqueMinimalSeparatorDecomposition.html" title="class in org.jgrapht.alg">CliqueMinimalSeparatorDecomposition</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">Clique Minimal Separator Decomposition using MCS-M+ and Atoms algorithm as
described in Berry et al.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/ConnectivityInspector.html" title="class in org.jgrapht.alg">ConnectivityInspector</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">Allows obtaining various connectivity aspects of a graph.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/CycleDetector.html" title="class in org.jgrapht.alg">CycleDetector</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">Performs cycle detection on a graph.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/DijkstraShortestPath.html" title="class in org.jgrapht.alg">DijkstraShortestPath</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">An implementation of <a
href="http://mathworld.wolfram.com/DijkstrasAlgorithm.html">Dijkstra's
shortest path algorithm</a> using <code>ClosestFirstIterator</code>.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/DirectedNeighborIndex.html" title="class in org.jgrapht.alg">DirectedNeighborIndex</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">Maintains a cache of each vertex's neighbors.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/EdmondsBlossomShrinking.html" title="class in org.jgrapht.alg">EdmondsBlossomShrinking</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">An implementation of Edmonds Blossom Shrinking algorithm for constructing
maximum matchings on graphs.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/EdmondsKarpMaximumFlow.html" title="class in org.jgrapht.alg">EdmondsKarpMaximumFlow</a>&lt;V,E&gt;</td>
<td class="colLast">Deprecated
<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>
</td>
</tr>
<tr class="altColor">
<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">
<td class="colFirst"><a href="../../../org/jgrapht/alg/FloydWarshallShortestPaths.html" title="class in org.jgrapht.alg">FloydWarshallShortestPaths</a>&lt;V,E&gt;</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">
<td class="colFirst"><a href="../../../org/jgrapht/alg/GabowStrongConnectivityInspector.html" title="class in org.jgrapht.alg">GabowStrongConnectivityInspector</a>&lt;V,E&gt;</td>
<td class="colLast">
<div class="block">Allows obtaining the strongly connected components of a directed graph.</div>
</td>
</tr>
<tr class="rowColor">
<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>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V,E&gt;</td>
<td class="colLast">&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="../../../org/jgrapht/alg/NeighborIndex.html" title="class in org.jgrapht.alg">NeighborIndex</a>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V,E&gt;</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>&lt;V&gt;</td>
<td class="colLast">&nbsp;</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>
</ul>
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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>
</div>
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