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<h2 title="Class BlockCutpointGraph" class="title">Class BlockCutpointGraph&lt;V,E&gt;</h2>
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<li><a href="../../../org/jgrapht/graph/AbstractGraph.html" title="class in org.jgrapht.graph">org.jgrapht.graph.AbstractGraph</a>&lt;V,E&gt;</li>
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<li><a href="../../../org/jgrapht/graph/AbstractBaseGraph.html" title="class in org.jgrapht.graph">org.jgrapht.graph.AbstractBaseGraph</a>&lt;V,E&gt;</li>
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<ul class="inheritance">
<li><a href="../../../org/jgrapht/graph/SimpleGraph.html" title="class in org.jgrapht.graph">org.jgrapht.graph.SimpleGraph</a>&lt;<a href="../../../org/jgrapht/UndirectedGraph.html" title="interface in org.jgrapht">UndirectedGraph</a>&lt;V,E&gt;,<a href="../../../org/jgrapht/graph/DefaultEdge.html" title="class in org.jgrapht.graph">DefaultEdge</a>&gt;</li>
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<li>org.jgrapht.alg.BlockCutpointGraph&lt;V,E&gt;</li>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Cloneable.html?is-external=true" title="class or interface in java.lang">Cloneable</a>, <a href="../../../org/jgrapht/Graph.html" title="interface in org.jgrapht">Graph</a>&lt;<a href="../../../org/jgrapht/UndirectedGraph.html" title="interface in org.jgrapht">UndirectedGraph</a>&lt;V,E&gt;,<a href="../../../org/jgrapht/graph/DefaultEdge.html" title="class in org.jgrapht.graph">DefaultEdge</a>&gt;, <a href="../../../org/jgrapht/UndirectedGraph.html" title="interface in org.jgrapht">UndirectedGraph</a>&lt;<a href="../../../org/jgrapht/UndirectedGraph.html" title="interface in org.jgrapht">UndirectedGraph</a>&lt;V,E&gt;,<a href="../../../org/jgrapht/graph/DefaultEdge.html" title="class in org.jgrapht.graph">DefaultEdge</a>&gt;</dd>
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<pre>public class <span class="strong">BlockCutpointGraph&lt;V,E&gt;</span>
extends <a href="../../../org/jgrapht/graph/SimpleGraph.html" title="class in org.jgrapht.graph">SimpleGraph</a>&lt;<a href="../../../org/jgrapht/UndirectedGraph.html" title="interface in org.jgrapht">UndirectedGraph</a>&lt;V,E&gt;,<a href="../../../org/jgrapht/graph/DefaultEdge.html" title="class in org.jgrapht.graph">DefaultEdge</a>&gt;</pre>
<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>:
<ul>
<li><b>Definition 4.5</b> Let G(V; E) be a connected undirected graph. The
block-cut point graph (BC graph) of G, denoted by GB(VB; EB), is the
bipartite graph defined as follows. (a) VB has one node corresponding to each
block and one node corresponding to each cut point of G. (b) Each edge fx; yg
in EB joins a block node x to a cut point y if the block corresponding to x
contains the cut point node corresponding to y.</li>
<li><b>Lemma 4.4</b> Let G(V; E) be a connected undirected graph. (a) Each
pair of blocks of G share at most one node, and that node is a cutpoint. (b)
The BC graph of G is a tree in which each leaf node corresponds to a block of
G.</li>
</ul></div>
<dl><dt><span class="strong">Since:</span></dt>
<dd>July 5, 2007</dd>
<dt><span class="strong">Author:</span></dt>
<dd>Guillaume Boulmier</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../serialized-form.html#org.jgrapht.alg.BlockCutpointGraph">Serialized Form</a></dd></dl>
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<h3>Nested classes/interfaces inherited from class&nbsp;org.jgrapht.graph.<a href="../../../org/jgrapht/graph/AbstractBaseGraph.html" title="class in org.jgrapht.graph">AbstractBaseGraph</a></h3>
<code><a href="../../../org/jgrapht/graph/AbstractBaseGraph.DirectedEdgeContainer.html" title="class in org.jgrapht.graph">AbstractBaseGraph.DirectedEdgeContainer</a>&lt;<a href="../../../org/jgrapht/graph/AbstractBaseGraph.DirectedEdgeContainer.html" title="type parameter in AbstractBaseGraph.DirectedEdgeContainer">VV</a>,<a href="../../../org/jgrapht/graph/AbstractBaseGraph.DirectedEdgeContainer.html" title="type parameter in AbstractBaseGraph.DirectedEdgeContainer">EE</a>&gt;, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.DirectedSpecifics.html" title="class in org.jgrapht.graph">AbstractBaseGraph.DirectedSpecifics</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.UndirectedSpecifics.html" title="class in org.jgrapht.graph">AbstractBaseGraph.UndirectedSpecifics</a></code></li>
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<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colOne" scope="col">Constructor and Description</th>
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<td class="colOne"><code><strong><a href="../../../org/jgrapht/alg/BlockCutpointGraph.html#BlockCutpointGraph(org.jgrapht.UndirectedGraph)">BlockCutpointGraph</a></strong>(<a href="../../../org/jgrapht/UndirectedGraph.html" title="interface in org.jgrapht">UndirectedGraph</a>&lt;<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">V</a>,<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">E</a>&gt;&nbsp;graph)</code>
<div class="block">Running time = O(m) where m is the number of edges.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><code><a href="../../../org/jgrapht/UndirectedGraph.html" title="interface in org.jgrapht">UndirectedGraph</a>&lt;<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">V</a>,<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">E</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../org/jgrapht/alg/BlockCutpointGraph.html#getBlock(V)">getBlock</a></strong>(<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">V</a>&nbsp;vertex)</code>
<div class="block">Returns the vertex if vertex is a cutpoint, and otherwise returns the
block (biconnected component) containing the vertex.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="http://docs.oracle.com/javase/7/docs/api/java/util/Set.html?is-external=true" title="class or interface in java.util">Set</a>&lt;<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">V</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../org/jgrapht/alg/BlockCutpointGraph.html#getCutpoints()">getCutpoints</a></strong>()</code>
<div class="block">Returns the cutpoints of the initial graph.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../org/jgrapht/alg/BlockCutpointGraph.html#isCutpoint(V)">isCutpoint</a></strong>(<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">V</a>&nbsp;vertex)</code>
<div class="block">Returns <code>true</code> if the vertex is a cutpoint, <code>false</code>
otherwise.</div>
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<h3>Methods inherited from class&nbsp;org.jgrapht.graph.<a href="../../../org/jgrapht/graph/SimpleGraph.html" title="class in org.jgrapht.graph">SimpleGraph</a></h3>
<code><a href="../../../org/jgrapht/graph/SimpleGraph.html#builder(java.lang.Class)">builder</a>, <a href="../../../org/jgrapht/graph/SimpleGraph.html#builder(org.jgrapht.EdgeFactory)">builder</a></code></li>
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<h3>Methods inherited from class&nbsp;org.jgrapht.graph.<a href="../../../org/jgrapht/graph/AbstractBaseGraph.html" title="class in org.jgrapht.graph">AbstractBaseGraph</a></h3>
<code><a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#addEdge(V,%20V)">addEdge</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#addEdge(V,%20V,%20E)">addEdge</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#addVertex(V)">addVertex</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#clone()">clone</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#containsEdge(E)">containsEdge</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#containsVertex(V)">containsVertex</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#createDirectedSpecifics()">createDirectedSpecifics</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#createUndirectedSpecifics()">createUndirectedSpecifics</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#degreeOf(V)">degreeOf</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#edgeSet()">edgeSet</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#edgesOf(V)">edgesOf</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#getAllEdges(V,%20V)">getAllEdges</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#getEdge(V,%20V)">getEdge</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#getEdgeFactory()">getEdgeFactory</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#getEdgeSource(E)">getEdgeSource</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#getEdgeTarget(E)">getEdgeTarget</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#getEdgeWeight(E)">getEdgeWeight</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#incomingEdgesOf(V)">incomingEdgesOf</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#inDegreeOf(V)">inDegreeOf</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#isAllowingLoops()">isAllowingLoops</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#isAllowingMultipleEdges()">isAllowingMultipleEdges</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#outDegreeOf(V)">outDegreeOf</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#outgoingEdgesOf(V)">outgoingEdgesOf</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#removeEdge(E)">removeEdge</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#removeEdge(V,%20V)">removeEdge</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#removeVertex(V)">removeVertex</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#setEdgeSetFactory(org.jgrapht.graph.EdgeSetFactory)">setEdgeSetFactory</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#setEdgeWeight(E,%20double)">setEdgeWeight</a>, <a href="../../../org/jgrapht/graph/AbstractBaseGraph.html#vertexSet()">vertexSet</a></code></li>
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<h3>Methods inherited from class&nbsp;org.jgrapht.graph.<a href="../../../org/jgrapht/graph/AbstractGraph.html" title="class in org.jgrapht.graph">AbstractGraph</a></h3>
<code><a href="../../../org/jgrapht/graph/AbstractGraph.html#assertVertexExist(V)">assertVertexExist</a>, <a href="../../../org/jgrapht/graph/AbstractGraph.html#containsEdge(V,%20V)">containsEdge</a>, <a href="../../../org/jgrapht/graph/AbstractGraph.html#equals(java.lang.Object)">equals</a>, <a href="../../../org/jgrapht/graph/AbstractGraph.html#hashCode()">hashCode</a>, <a href="../../../org/jgrapht/graph/AbstractGraph.html#removeAllEdges(java.util.Collection)">removeAllEdges</a>, <a href="../../../org/jgrapht/graph/AbstractGraph.html#removeAllEdges(E[])">removeAllEdges</a>, <a href="../../../org/jgrapht/graph/AbstractGraph.html#removeAllEdges(V,%20V)">removeAllEdges</a>, <a href="../../../org/jgrapht/graph/AbstractGraph.html#removeAllVertices(java.util.Collection)">removeAllVertices</a>, <a href="../../../org/jgrapht/graph/AbstractGraph.html#toString()">toString</a>, <a href="../../../org/jgrapht/graph/AbstractGraph.html#toStringFromSets(java.util.Collection,%20java.util.Collection,%20boolean)">toStringFromSets</a></code></li>
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<h3>Methods inherited from interface&nbsp;org.jgrapht.<a href="../../../org/jgrapht/UndirectedGraph.html" title="interface in org.jgrapht">UndirectedGraph</a></h3>
<code><a href="../../../org/jgrapht/UndirectedGraph.html#degreeOf(V)">degreeOf</a></code></li>
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<h3>Methods inherited from interface&nbsp;org.jgrapht.<a href="../../../org/jgrapht/Graph.html" title="interface in org.jgrapht">Graph</a></h3>
<code><a href="../../../org/jgrapht/Graph.html#addEdge(V,%20V)">addEdge</a>, <a href="../../../org/jgrapht/Graph.html#addEdge(V,%20V,%20E)">addEdge</a>, <a href="../../../org/jgrapht/Graph.html#addVertex(V)">addVertex</a>, <a href="../../../org/jgrapht/Graph.html#containsEdge(E)">containsEdge</a>, <a href="../../../org/jgrapht/Graph.html#containsEdge(V,%20V)">containsEdge</a>, <a href="../../../org/jgrapht/Graph.html#containsVertex(V)">containsVertex</a>, <a href="../../../org/jgrapht/Graph.html#edgeSet()">edgeSet</a>, <a href="../../../org/jgrapht/Graph.html#edgesOf(V)">edgesOf</a>, <a href="../../../org/jgrapht/Graph.html#getAllEdges(V,%20V)">getAllEdges</a>, <a href="../../../org/jgrapht/Graph.html#getEdge(V,%20V)">getEdge</a>, <a href="../../../org/jgrapht/Graph.html#getEdgeFactory()">getEdgeFactory</a>, <a href="../../../org/jgrapht/Graph.html#getEdgeSource(E)">getEdgeSource</a>, <a href="../../../org/jgrapht/Graph.html#getEdgeTarget(E)">getEdgeTarget</a>, <a href="../../../org/jgrapht/Graph.html#getEdgeWeight(E)">getEdgeWeight</a>, <a href="../../../org/jgrapht/Graph.html#removeAllEdges(java.util.Collection)">removeAllEdges</a>, <a href="../../../org/jgrapht/Graph.html#removeAllEdges(V,%20V)">removeAllEdges</a>, <a href="../../../org/jgrapht/Graph.html#removeAllVertices(java.util.Collection)">removeAllVertices</a>, <a href="../../../org/jgrapht/Graph.html#removeEdge(E)">removeEdge</a>, <a href="../../../org/jgrapht/Graph.html#removeEdge(V,%20V)">removeEdge</a>, <a href="../../../org/jgrapht/Graph.html#removeVertex(V)">removeVertex</a>, <a href="../../../org/jgrapht/Graph.html#vertexSet()">vertexSet</a></code></li>
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<h4>BlockCutpointGraph</h4>
<pre>public&nbsp;BlockCutpointGraph(<a href="../../../org/jgrapht/UndirectedGraph.html" title="interface in org.jgrapht">UndirectedGraph</a>&lt;<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">V</a>,<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">E</a>&gt;&nbsp;graph)</pre>
<div class="block">Running time = O(m) where m is the number of edges.</div>
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<a name="getBlock(java.lang.Object)">
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<h4>getBlock</h4>
<pre>public&nbsp;<a href="../../../org/jgrapht/UndirectedGraph.html" title="interface in org.jgrapht">UndirectedGraph</a>&lt;<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">V</a>,<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">E</a>&gt;&nbsp;getBlock(<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">V</a>&nbsp;vertex)</pre>
<div class="block">Returns the vertex if vertex is a cutpoint, and otherwise returns the
block (biconnected component) containing the vertex.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>vertex</code> - vertex in the initial graph.</dd></dl>
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<h4>getCutpoints</h4>
<pre>public&nbsp;<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Set.html?is-external=true" title="class or interface in java.util">Set</a>&lt;<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">V</a>&gt;&nbsp;getCutpoints()</pre>
<div class="block">Returns the cutpoints of the initial graph.</div>
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<h4>isCutpoint</h4>
<pre>public&nbsp;boolean&nbsp;isCutpoint(<a href="../../../org/jgrapht/alg/BlockCutpointGraph.html" title="type parameter in BlockCutpointGraph">V</a>&nbsp;vertex)</pre>
<div class="block">Returns <code>true</code> if the vertex is a cutpoint, <code>false</code>
otherwise.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>vertex</code> - vertex in the initial graph.</dd></dl>
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