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< div class = "subTitle" > com.mxgraph.analysis< / div >
< h2 title = "Class mxUnionFind" class = "title" > Class mxUnionFind< / h2 >
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< li > java.lang.Object< / li >
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< li >
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< li > com.mxgraph.analysis.mxUnionFind< / li >
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< pre > public class < span class = "typeNameLabel" > mxUnionFind< / span >
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extends java.lang.Object< / pre >
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< div class = "block" > Implements a union find structure that uses union by rank and path
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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 >
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Which yields almost constant time for each individual operation.< / div >
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< td class = "colLast" > < code > < span class = "memberNameLink" > < a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > < / span > < / code >
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< div class = "block" > A class that defines the identity of a set.< / div >
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< th class = "colFirst" scope = "col" > Modifier and Type< / th >
< th class = "colLast" scope = "col" > Field and Description< / th >
< / tr >
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< td class = "colFirst" > < code > protected java.util.Map< java.lang.Object,< a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > > < / code > < / td >
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< td class = "colLast" > < code > < span class = "memberNameLink" > < a href = "../../../com/mxgraph/analysis/mxUnionFind.html#nodes" > nodes< / a > < / span > < / code >
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< div class = "block" > Maps from elements to nodes< / div >
< / td >
< / tr >
< / table >
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< / ul >
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< td class = "colOne" > < code > < span class = "memberNameLink" > < a href = "../../../com/mxgraph/analysis/mxUnionFind.html#mxUnionFind-java.lang.Object:A-" > mxUnionFind< / a > < / span > (java.lang.Object[] elements)< / code >
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< div class = "block" > Constructs a union find structure and initializes it with the specified
elements.< / div >
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< / tr >
< / table >
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< tr >
< th class = "colFirst" scope = "col" > Modifier and Type< / th >
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< / tr >
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< tr id = "i0" class = "altColor" >
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< td class = "colFirst" > < code > boolean< / code > < / td >
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< td class = "colLast" > < code > < span class = "memberNameLink" > < a href = "../../../com/mxgraph/analysis/mxUnionFind.html#differ-java.lang.Object-java.lang.Object-" > differ< / a > < / span > (java.lang.Object a,
java.lang.Object b)< / code >
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< div class = "block" > Returns true if element a and element b are not in the same set.< / div >
< / td >
< / tr >
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< tr id = "i1" class = "rowColor" >
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< td class = "colFirst" > < code > < a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > < / code > < / td >
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< td class = "colLast" > < code > < span class = "memberNameLink" > < a href = "../../../com/mxgraph/analysis/mxUnionFind.html#find-com.mxgraph.analysis.mxUnionFind.Node-" > find< / a > < / span > (< a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > node)< / code >
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< div class = "block" > Returns the set that contains < code > node< / code > .< / div >
< / td >
< / tr >
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< tr id = "i2" class = "altColor" >
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< td class = "colFirst" > < code > < a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > < / code > < / td >
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< td class = "colLast" > < code > < span class = "memberNameLink" > < a href = "../../../com/mxgraph/analysis/mxUnionFind.html#getNode-java.lang.Object-" > getNode< / a > < / span > (java.lang.Object element)< / code >
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< div class = "block" > Returns the node that represents element.< / div >
< / td >
< / tr >
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< tr id = "i3" class = "rowColor" >
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< td class = "colFirst" > < code > void< / code > < / td >
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< td class = "colLast" > < code > < span class = "memberNameLink" > < a href = "../../../com/mxgraph/analysis/mxUnionFind.html#union-com.mxgraph.analysis.mxUnionFind.Node-com.mxgraph.analysis.mxUnionFind.Node-" > union< / a > < / span > (< a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > a,
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< a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > b)< / code >
< div class = "block" > Unifies the sets < code > a< / code > and < code > b< / code > in constant time
using a union by rank on the tree size.< / div >
< / td >
< / tr >
< / table >
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< h3 > Methods inherited from class java.lang.Object< / h3 >
< code > clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait< / code > < / li >
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< h4 > nodes< / h4 >
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< pre > protected java.util.Map< java.lang.Object,< a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > > nodes< / pre >
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< div class = "block" > Maps from elements to nodes< / div >
< / li >
< / ul >
< / li >
< / ul >
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<!-- ========= CONSTRUCTOR DETAIL ======== -->
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< a name = "mxUnionFind-java.lang.Object:A-" >
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< pre > public mxUnionFind(java.lang.Object[] elements)< / pre >
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< div class = "block" > Constructs a union find structure and initializes it with the specified
elements.< / div >
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< dl >
< dt > < span class = "paramLabel" > Parameters:< / span > < / dt >
< dd > < code > elements< / code > - < / dd >
< / dl >
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< / li >
< / ul >
< / li >
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< a name = "getNode-java.lang.Object-" >
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< h4 > getNode< / h4 >
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< pre > public < a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > getNode(java.lang.Object element)< / pre >
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< div class = "block" > Returns the node that represents element.< / div >
< / li >
< / ul >
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< a name = "find-com.mxgraph.analysis.mxUnionFind.Node-" >
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< h4 > find< / h4 >
< pre > public < a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > find(< a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > node)< / pre >
< div class = "block" > Returns the set that contains < code > node< / code > . This implementation
provides path compression by halving.< / div >
< / li >
< / ul >
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< a name = "union-com.mxgraph.analysis.mxUnionFind.Node-com.mxgraph.analysis.mxUnionFind.Node-" >
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< h4 > union< / h4 >
< pre > public void union(< a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > a,
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< a href = "../../../com/mxgraph/analysis/mxUnionFind.Node.html" title = "class in com.mxgraph.analysis" > mxUnionFind.Node< / a > b)< / pre >
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< div class = "block" > Unifies the sets < code > a< / code > and < code > b< / code > in constant time
using a union by rank on the tree size.< / div >
< / li >
< / ul >
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< a name = "differ-java.lang.Object-java.lang.Object-" >
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< h4 > differ< / h4 >
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< pre > public boolean differ(java.lang.Object a,
java.lang.Object b)< / pre >
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< div class = "block" > 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.< / div >
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< dl >
< dt > < span class = "paramLabel" > Parameters:< / span > < / dt >
< dd > < code > a< / code > - The first element to compare.< / dd >
< dd > < code > b< / code > - The second element to compare.< / dd >
< dt > < span class = "returnLabel" > Returns:< / span > < / dt >
< dd > Returns true if a and b are in the same set.< / dd >
< dt > < span class = "seeLabel" > See Also:< / span > < / dt >
< dd > < a href = "../../../com/mxgraph/analysis/mxUnionFind.html#getNode-java.lang.Object-" > < code > getNode(Object)< / code > < / a > < / dd >
< / dl >
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