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mxGraphAnalysis (mxGraph 2.5.0.3 API Specification)
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com.mxgraph.analysis</FONT>
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Class mxGraphAnalysis</H2>
<PRE>
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A>
<IMG SRC="../../../resources/inherit.gif" ALT="extended by "><B>com.mxgraph.analysis.mxGraphAnalysis</B>
</PRE>
<HR>
<DL>
<DT><PRE>public class <B>mxGraphAnalysis</B><DT>extends <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></DL>
</PRE>
<P>
A singleton class that provides algorithms for graphs. Assume these
variables for the following examples:<br>
<code>
mxICostFunction cf = mxDistanceCostFunction();
Object[] v = graph.getChildVertices(graph.getDefaultParent());
Object[] e = graph.getChildEdges(graph.getDefaultParent());
mxGraphAnalysis mga = mxGraphAnalysis.getInstance();
</code>
<h3>Shortest Path (Dijkstra)</h3>
For example, to find the shortest path between the first and the second
selected cell in a graph use the following code: <br>
<br>
<code>Object[] path = mga.getShortestPath(graph, from, to, cf, v.length, true);</code>
<h3>Minimum Spanning Tree</h3>
This algorithm finds the set of edges with the minimal length that connect
all vertices. This algorithm can be used as follows:
<h5>Prim</h5>
<code>mga.getMinimumSpanningTree(graph, v, cf, true))</code>
<h5>Kruskal</h5>
<code>mga.getMinimumSpanningTree(graph, v, e, cf))</code>
<h3>Connection Components</h3>
The union find may be used as follows to determine whether two cells are
connected: <code>boolean connected = uf.differ(vertex1, vertex2)</code>.
<P>
<P>
<DL>
<DT><B>See Also:</B><DD><A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis"><CODE>mxICostFunction</CODE></A></DL>
<HR>
<P>
<!-- =========== FIELD SUMMARY =========== -->
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<B>Field Summary</B></FONT></TH>
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<CODE>protected static&nbsp;<A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#instance">instance</A></B></CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Holds the shared instance of this class.</TD>
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&nbsp;
<!-- ======== CONSTRUCTOR SUMMARY ======== -->
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<B>Constructor Summary</B></FONT></TH>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected </CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#mxGraphAnalysis()">mxGraphAnalysis</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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&nbsp;
<!-- ========== METHOD SUMMARY =========== -->
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<B>Method Summary</B></FONT></TH>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected &nbsp;<A HREF="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createPriorityQueue()">createPriorityQueue</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Hook for subclassers to provide a custom fibonacci heap.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected &nbsp;<A HREF="../../../com/mxgraph/analysis/mxUnionFind.html" title="class in com.mxgraph.analysis">mxUnionFind</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createUnionFind(java.lang.Object[])">createUnionFind</A></B>(<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;v)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Hook for subclassers to provide a custom union find structure.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../com/mxgraph/analysis/mxUnionFind.html" title="class in com.mxgraph.analysis">mxUnionFind</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getConnectionComponents(com.mxgraph.view.mxGraph, java.lang.Object[], java.lang.Object[])">getConnectionComponents</A></B>(<A HREF="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</A>&nbsp;graph,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;v,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;e)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns a union find structure representing the connection components of
G=(E,V).</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;<A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getInstance()">getInstance</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getMinimumSpanningTree(com.mxgraph.view.mxGraph, java.lang.Object[], com.mxgraph.analysis.mxICostFunction, boolean)">getMinimumSpanningTree</A></B>(<A HREF="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</A>&nbsp;graph,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;v,
<A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</A>&nbsp;cf,
boolean&nbsp;directed)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the minimum spanning tree (MST) for the graph defined by G=(E,V).</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getMinimumSpanningTree(com.mxgraph.view.mxGraph, java.lang.Object[], java.lang.Object[], com.mxgraph.analysis.mxICostFunction)">getMinimumSpanningTree</A></B>(<A HREF="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</A>&nbsp;graph,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;v,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;e,
<A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</A>&nbsp;cf)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the minimum spanning tree (MST) for the graph defined by G=(E,V).</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getShortestPath(com.mxgraph.view.mxGraph, java.lang.Object, java.lang.Object, com.mxgraph.analysis.mxICostFunction, int, boolean)">getShortestPath</A></B>(<A HREF="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</A>&nbsp;graph,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>&nbsp;from,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>&nbsp;to,
<A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</A>&nbsp;cf,
int&nbsp;steps,
boolean&nbsp;directed)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the shortest path between two cells or their descendants
represented as an array of edges in order of traversal.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#setInstance(com.mxgraph.analysis.mxGraphAnalysis)">setInstance</A></B>(<A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</A>&nbsp;instance)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Sets the shared instance of this class.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</A>[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#sort(com.mxgraph.view.mxCellState[], com.mxgraph.analysis.mxICostFunction)">sort</A></B>(<A HREF="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</A>[]&nbsp;states,
<A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</A>&nbsp;cf)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns a sorted set for <code>cells</code> with respect to
<code>cf</code>.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#sum(com.mxgraph.view.mxCellState[], com.mxgraph.analysis.mxICostFunction)">sum</A></B>(<A HREF="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</A>[]&nbsp;states,
<A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</A>&nbsp;cf)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the sum of all cost for <code>cells</code> with respect to
<code>cf</code>.</TD>
</TR>
</TABLE>
&nbsp;<A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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<TH ALIGN="left"><B>Methods inherited from class java.lang.<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></B></TH>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</A>, <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</A>, <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</A>, <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</A>, <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</A>, <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</A>, <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</A>, <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</A>, <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</A>, <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</A>, <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</A></CODE></TD>
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&nbsp;
<P>
<!-- ============ FIELD DETAIL =========== -->
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<B>Field Detail</B></FONT></TH>
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<A NAME="instance"><!-- --></A><H3>
instance</H3>
<PRE>
protected static <A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</A> <B>instance</B></PRE>
<DL>
<DD>Holds the shared instance of this class.
<P>
<DL>
</DL>
</DL>
<!-- ========= CONSTRUCTOR DETAIL ======== -->
<A NAME="constructor_detail"><!-- --></A>
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<A NAME="mxGraphAnalysis()"><!-- --></A><H3>
mxGraphAnalysis</H3>
<PRE>
protected <B>mxGraphAnalysis</B>()</PRE>
<DL>
</DL>
<!-- ============ METHOD DETAIL ========== -->
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<A NAME="getInstance()"><!-- --></A><H3>
getInstance</H3>
<PRE>
public static <A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</A> <B>getInstance</B>()</PRE>
<DL>
<DD><DL>
<DT><B>Returns:</B><DD>Returns the sharedInstance.</DL>
</DD>
</DL>
<HR>
<A NAME="setInstance(com.mxgraph.analysis.mxGraphAnalysis)"><!-- --></A><H3>
setInstance</H3>
<PRE>
public static void <B>setInstance</B>(<A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</A>&nbsp;instance)</PRE>
<DL>
<DD>Sets the shared instance of this class.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>instance</CODE> - The instance to set.</DL>
</DD>
</DL>
<HR>
<A NAME="getShortestPath(com.mxgraph.view.mxGraph, java.lang.Object, java.lang.Object, com.mxgraph.analysis.mxICostFunction, int, boolean)"><!-- --></A><H3>
getShortestPath</H3>
<PRE>
public <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[] <B>getShortestPath</B>(<A HREF="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</A>&nbsp;graph,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>&nbsp;from,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>&nbsp;to,
<A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</A>&nbsp;cf,
int&nbsp;steps,
boolean&nbsp;directed)</PRE>
<DL>
<DD>Returns the shortest path between two cells or their descendants
represented as an array of edges in order of traversal. <br>
This implementation is based on the Dijkstra algorithm.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>graph</CODE> - The object that defines the graph structure<DD><CODE>from</CODE> - The source cell.<DD><CODE>to</CODE> - The target cell (aka sink).<DD><CODE>cf</CODE> - The cost function that defines the edge length.<DD><CODE>steps</CODE> - The maximum number of edges to traverse.<DD><CODE>directed</CODE> - If edge directions should be taken into account.
<DT><B>Returns:</B><DD>Returns the shortest path as an alternating array of vertices
and edges, starting with <code>from</code> and ending with
<code>to</code>.<DT><B>See Also:</B><DD><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createPriorityQueue()"><CODE>createPriorityQueue()</CODE></A></DL>
</DD>
</DL>
<HR>
<A NAME="getMinimumSpanningTree(com.mxgraph.view.mxGraph, java.lang.Object[], com.mxgraph.analysis.mxICostFunction, boolean)"><!-- --></A><H3>
getMinimumSpanningTree</H3>
<PRE>
public <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[] <B>getMinimumSpanningTree</B>(<A HREF="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</A>&nbsp;graph,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;v,
<A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</A>&nbsp;cf,
boolean&nbsp;directed)</PRE>
<DL>
<DD>Returns the minimum spanning tree (MST) for the graph defined by G=(E,V).
The MST is defined as the set of all vertices with minimal lengths that
forms no cycles in G.<br>
This implementation is based on the algorihm by Prim-Jarnik. It uses
O(|E|+|V|log|V|) time when used with a Fibonacci heap and a graph whith a
double linked-list datastructure, as is the case with the default
implementation.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>graph</CODE> - the object that describes the graph<DD><CODE>v</CODE> - the vertices of the graph<DD><CODE>cf</CODE> - the cost function that defines the edge length
<DT><B>Returns:</B><DD>Returns the MST as an array of edges<DT><B>See Also:</B><DD><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createPriorityQueue()"><CODE>createPriorityQueue()</CODE></A></DL>
</DD>
</DL>
<HR>
<A NAME="getMinimumSpanningTree(com.mxgraph.view.mxGraph, java.lang.Object[], java.lang.Object[], com.mxgraph.analysis.mxICostFunction)"><!-- --></A><H3>
getMinimumSpanningTree</H3>
<PRE>
public <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[] <B>getMinimumSpanningTree</B>(<A HREF="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</A>&nbsp;graph,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;v,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;e,
<A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</A>&nbsp;cf)</PRE>
<DL>
<DD>Returns the minimum spanning tree (MST) for the graph defined by G=(E,V).
The MST is defined as the set of all vertices with minimal lenths that
forms no cycles in G.<br>
This implementation is based on the algorihm by Kruskal. It uses
O(|E|log|E|)=O(|E|log|V|) time for sorting the edges, O(|V|) create sets,
O(|E|) find and O(|V|) union calls on the union find structure, thus
yielding no more than O(|E|log|V|) steps. For a faster implementatin
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>graph</CODE> - The object that contains the graph.<DD><CODE>v</CODE> - The vertices of the graph.<DD><CODE>e</CODE> - The edges of the graph.<DD><CODE>cf</CODE> - The cost function that defines the edge length.
<DT><B>Returns:</B><DD>Returns the MST as an array of edges.<DT><B>See Also:</B><DD><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getMinimumSpanningTree(com.mxgraph.view.mxGraph, java.lang.Object[], com.mxgraph.analysis.mxICostFunction, boolean)"><CODE>getMinimumSpanningTree(mxGraph, Object[], mxICostFunction,
boolean)</CODE></A>,
<A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createUnionFind(java.lang.Object[])"><CODE>createUnionFind(Object[])</CODE></A></DL>
</DD>
</DL>
<HR>
<A NAME="getConnectionComponents(com.mxgraph.view.mxGraph, java.lang.Object[], java.lang.Object[])"><!-- --></A><H3>
getConnectionComponents</H3>
<PRE>
public <A HREF="../../../com/mxgraph/analysis/mxUnionFind.html" title="class in com.mxgraph.analysis">mxUnionFind</A> <B>getConnectionComponents</B>(<A HREF="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</A>&nbsp;graph,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;v,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;e)</PRE>
<DL>
<DD>Returns a union find structure representing the connection components of
G=(E,V).
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>graph</CODE> - The object that contains the graph.<DD><CODE>v</CODE> - The vertices of the graph.<DD><CODE>e</CODE> - The edges of the graph.
<DT><B>Returns:</B><DD>Returns the connection components in G=(E,V)<DT><B>See Also:</B><DD><A HREF="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createUnionFind(java.lang.Object[])"><CODE>createUnionFind(Object[])</CODE></A></DL>
</DD>
</DL>
<HR>
<A NAME="sort(com.mxgraph.view.mxCellState[], com.mxgraph.analysis.mxICostFunction)"><!-- --></A><H3>
sort</H3>
<PRE>
public <A HREF="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</A>[] <B>sort</B>(<A HREF="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</A>[]&nbsp;states,
<A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</A>&nbsp;cf)</PRE>
<DL>
<DD>Returns a sorted set for <code>cells</code> with respect to
<code>cf</code>.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>states</CODE> - the cell states to sort<DD><CODE>cf</CODE> - the cost function that defines the order
<DT><B>Returns:</B><DD>Returns an ordered set of <code>cells</code> wrt.
<code>cf</code></DL>
</DD>
</DL>
<HR>
<A NAME="sum(com.mxgraph.view.mxCellState[], com.mxgraph.analysis.mxICostFunction)"><!-- --></A><H3>
sum</H3>
<PRE>
public double <B>sum</B>(<A HREF="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</A>[]&nbsp;states,
<A HREF="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</A>&nbsp;cf)</PRE>
<DL>
<DD>Returns the sum of all cost for <code>cells</code> with respect to
<code>cf</code>.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>states</CODE> - the cell states to use for the sum<DD><CODE>cf</CODE> - the cost function that defines the costs
<DT><B>Returns:</B><DD>Returns the sum of all cell cost</DL>
</DD>
</DL>
<HR>
<A NAME="createUnionFind(java.lang.Object[])"><!-- --></A><H3>
createUnionFind</H3>
<PRE>
protected <A HREF="../../../com/mxgraph/analysis/mxUnionFind.html" title="class in com.mxgraph.analysis">mxUnionFind</A> <B>createUnionFind</B>(<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[]&nbsp;v)</PRE>
<DL>
<DD>Hook for subclassers to provide a custom union find structure.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>v</CODE> - the array of all elements
<DT><B>Returns:</B><DD>Returns a union find structure for <code>v</code></DL>
</DD>
</DL>
<HR>
<A NAME="createPriorityQueue()"><!-- --></A><H3>
createPriorityQueue</H3>
<PRE>
protected <A HREF="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</A> <B>createPriorityQueue</B>()</PRE>
<DL>
<DD>Hook for subclassers to provide a custom fibonacci heap.
<P>
<DD><DL>
</DL>
</DD>
</DL>
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