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mxUnionFind (JGraph X 1.4.1.0 API Specification)
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com.mxgraph.analysis</FONT>
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Class mxUnionFind</H2>
<PRE>
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">java.lang.Object</A>
<IMG SRC="../../../resources/inherit.gif" ALT="extended by "><B>com.mxgraph.analysis.mxUnionFind</B>
</PRE>
<HR>
<DL>
<DT><PRE>public class <B>mxUnionFind</B><DT>extends <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A></DL>
</PRE>
<P>
Implements a union find structure that uses union by rank and path
compression. The union by rank guarantees worst case find time of O(log N),
while Tarjan shows that in combination with path compression (halving) the
average time for an arbitrary sequence of m >= n operations is
O(m*alpha(m,n)), where alpha is the inverse of the Ackermann function,
defined as follows:
<code>alpha(m,n) = min{i >= 1 | A(i, floor(m/n)) > log n} for m >= n >= 1</code>
Which yields almost constant time for each individual operation.
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<CODE> class</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A></B></CODE>
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A class that defines the identity of a set.</TD>
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<CODE>protected <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/util/Map.html" title="class or interface in java.util">Map</A><<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A>,<A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A>></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxUnionFind.html#nodes">nodes</A></B></CODE>
<BR>
Maps from elements to nodes</TD>
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<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxUnionFind.html#mxUnionFind(java.lang.Object[])">mxUnionFind</A></B>(<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A>[] elements)</CODE>
<BR>
Constructs a union find structure and initializes it with the specified
elements.</TD>
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<CODE> boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxUnionFind.html#differ(java.lang.Object, java.lang.Object)">differ</A></B>(<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A> a,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A> b)</CODE>
<BR>
Returns true if element a and element b are not in the same set.</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxUnionFind.html#find(com.mxgraph.analysis.mxUnionFind.Node)">find</A></B>(<A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A> node)</CODE>
<BR>
Returns the set that contains <code>node</code>.</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxUnionFind.html#getNode(java.lang.Object)">getNode</A></B>(<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A> element)</CODE>
<BR>
Returns the node that represents element.</TD>
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<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../com/mxgraph/analysis/mxUnionFind.html#union(com.mxgraph.analysis.mxUnionFind.Node, com.mxgraph.analysis.mxUnionFind.Node)">union</A></B>(<A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A> a,
<A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A> b)</CODE>
<BR>
Unifies the sets <code>a</code> and <code>b</code> in constant time
using a union by rank on the tree size.</TD>
</TR>
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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" title="class or interface in java.lang">Object</A></B></TH>
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<A NAME="nodes"><!-- --></A><H3>
nodes</H3>
<PRE>
protected <A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/util/Map.html" title="class or interface in java.util">Map</A><<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A>,<A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A>> <B>nodes</B></PRE>
<DL>
<DD>Maps from elements to nodes
<P>
<DL>
</DL>
</DL>
<!-- ========= CONSTRUCTOR DETAIL ======== -->
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<A NAME="mxUnionFind(java.lang.Object[])"><!-- --></A><H3>
mxUnionFind</H3>
<PRE>
public <B>mxUnionFind</B>(<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A>[] elements)</PRE>
<DL>
<DD>Constructs a union find structure and initializes it with the specified
elements.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>elements</CODE> - </DL>
</DL>
<!-- ============ METHOD DETAIL ========== -->
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<A NAME="getNode(java.lang.Object)"><!-- --></A><H3>
getNode</H3>
<PRE>
public <A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A> <B>getNode</B>(<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A> element)</PRE>
<DL>
<DD>Returns the node that represents element.
<P>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="find(com.mxgraph.analysis.mxUnionFind.Node)"><!-- --></A><H3>
find</H3>
<PRE>
public <A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A> <B>find</B>(<A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A> node)</PRE>
<DL>
<DD>Returns the set that contains <code>node</code>. This implementation
provides path compression by halving.
<P>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="union(com.mxgraph.analysis.mxUnionFind.Node, com.mxgraph.analysis.mxUnionFind.Node)"><!-- --></A><H3>
union</H3>
<PRE>
public void <B>union</B>(<A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A> a,
<A HREF="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</A> b)</PRE>
<DL>
<DD>Unifies the sets <code>a</code> and <code>b</code> in constant time
using a union by rank on the tree size.
<P>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="differ(java.lang.Object, java.lang.Object)"><!-- --></A><H3>
differ</H3>
<PRE>
public boolean <B>differ</B>(<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A> a,
<A HREF="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A> b)</PRE>
<DL>
<DD>Returns true if element a and element b are not in the same set. This
uses getNode and then find to determine the elements set.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>a</CODE> - The first element to compare.<DD><CODE>b</CODE> - The second element to compare.
<DT><B>Returns:</B><DD>Returns true if a and b are in the same set.<DT><B>See Also:</B><DD><A HREF="../../../com/mxgraph/analysis/mxUnionFind.html#getNode(java.lang.Object)"><CODE>getNode(Object)</CODE></A></DL>
</DD>
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