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<h2 title="Class mxFibonacciHeap" class="title">Class mxFibonacciHeap</h2>
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<ul class="inheritance">
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<li><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></li>
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<pre>public class <span class="strong">mxFibonacciHeap</span>
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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></pre>
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<div class="block">This class implements a priority queue.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><code>static class&nbsp;</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></strong></code>
<div class="block">Implements a node of the Fibonacci heap.</div>
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<td class="colFirst"><code>protected <a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#min">min</a></strong></code>&nbsp;</td>
</tr>
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<td class="colFirst"><code>protected <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/util/Map.html?is-external=true" title="class or interface in java.util">Map</a>&lt;<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>,<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&gt;</code></td>
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<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#nodes">nodes</a></strong></code>
<div class="block">Maps from elements to nodes</div>
</td>
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<td class="colFirst"><code>protected int</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#size">size</a></strong></code>&nbsp;</td>
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<td class="colOne"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#mxFibonacciHeap()">mxFibonacciHeap</a></strong>()</code>&nbsp;</td>
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<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
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<td class="colFirst"><code>protected void</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#cascadingCut(com.mxgraph.analysis.mxFibonacciHeap.Node)">cascadingCut</a></strong>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</code>
<div class="block">Performs a cascading cut operation.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected void</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#consolidate()">consolidate</a></strong>()</code>
<div class="block">Consolidates the trees in the heap by joining trees of equal degree until
there are no more trees of equal degree in the root list.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected void</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#cut(com.mxgraph.analysis.mxFibonacciHeap.Node, com.mxgraph.analysis.mxFibonacciHeap.Node)">cut</a></strong>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</code>
<div class="block">The reverse of the link operation: removes x from the child list of y.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#decreaseKey(com.mxgraph.analysis.mxFibonacciHeap.Node, double)">decreaseKey</a></strong>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
double&nbsp;k)</code>
<div class="block">Decreases the key value for a heap node, given the new value to take on.</div>
</td>
</tr>
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<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#delete(com.mxgraph.analysis.mxFibonacciHeap.Node)">delete</a></strong>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</code>
<div class="block">Deletes a node from the heap given the reference to the node.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
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<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#getNode(java.lang.Object, boolean)">getNode</a></strong>(<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;element,
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boolean&nbsp;create)</code>
<div class="block">Returns the node that represents element.</div>
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<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#insert(com.mxgraph.analysis.mxFibonacciHeap.Node, double)">insert</a></strong>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;node,
double&nbsp;key)</code>
<div class="block">Inserts a new data element into the heap.</div>
</td>
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<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#isEmpty()">isEmpty</a></strong>()</code>
<div class="block">Returns true if the queue is empty.</div>
</td>
</tr>
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<td class="colFirst"><code>protected void</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#link(com.mxgraph.analysis.mxFibonacciHeap.Node, com.mxgraph.analysis.mxFibonacciHeap.Node)">link</a></strong>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y,
<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</code>
<div class="block">Make node y a child of node x.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#min()">min</a></strong>()</code>
<div class="block">Returns the smallest element in the heap.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#removeMin()">removeMin</a></strong>()</code>
<div class="block">Removes the smallest element from the heap.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#size()">size</a></strong>()</code>
<div class="block">Returns the size of the heap which is measured in the number of elements
contained in the heap.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a></code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#union(com.mxgraph.analysis.mxFibonacciHeap, com.mxgraph.analysis.mxFibonacciHeap)">union</a></strong>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h1,
<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h2)</code>
<div class="block">Joins two Fibonacci heaps into a new one.</div>
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<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></li>
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<pre>protected&nbsp;<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/util/Map.html?is-external=true" title="class or interface in java.util">Map</a>&lt;<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>,<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&gt; nodes</pre>
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<div class="block">Maps from elements to nodes</div>
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<pre>protected&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a> min</pre>
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<pre>protected&nbsp;int size</pre>
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<pre>public&nbsp;mxFibonacciHeap()</pre>
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<pre>public&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;getNode(<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;element,
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boolean&nbsp;create)</pre>
<div class="block">Returns the node that represents element.</div>
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<h4>isEmpty</h4>
<pre>public&nbsp;boolean&nbsp;isEmpty()</pre>
<div class="block">Returns true if the queue is empty.</div>
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<h4>decreaseKey</h4>
<pre>public&nbsp;void&nbsp;decreaseKey(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
double&nbsp;k)</pre>
<div class="block">Decreases the key value for a heap node, given the new value to take on.
Initial version, 1.10.0.5 release
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The structure of the heap may be changed and will not be consolidated.
<p>
Running time: O(1) amortized
2.5.1.0 release
2014-04-01 11:30:48 +00:00
</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - Node whose value should be decreased.</dd><dd><code>k</code> - New key value for node x.</dd>
<dt><span class="strong">Throws:</span></dt>
3.1.2.0 release
2014-11-28 08:55:09 +00:00
<dd><code><a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - Thrown if k is larger than x.key value.</dd></dl>
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<h4>delete</h4>
<pre>public&nbsp;void&nbsp;delete(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</pre>
<div class="block">Deletes a node from the heap given the reference to the node. The trees
Initial version, 1.10.0.5 release
2012-05-21 20:32:26 +00:00
in the heap will be consolidated, if necessary. This operation may fail
to remove the correct element if there are nodes with key value
-Infinity.
<p>
Running time: O(log n) amortized
2.5.1.0 release
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</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - The node to remove from the heap.</dd></dl>
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<h4>insert</h4>
<pre>public&nbsp;void&nbsp;insert(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;node,
double&nbsp;key)</pre>
<div class="block">Inserts a new data element into the heap. No heap consolidation is
Initial version, 1.10.0.5 release
2012-05-21 20:32:26 +00:00
performed at this time, the new node is simply inserted into the root
list of this heap.
<p>
Running time: O(1) actual
2.5.1.0 release
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</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>node</code> - new node to insert into heap</dd><dd><code>key</code> - key value associated with data object</dd></dl>
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<h4>min</h4>
<pre>public&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;min()</pre>
<div class="block">Returns the smallest element in the heap. This smallest element is the
Initial version, 1.10.0.5 release
2012-05-21 20:32:26 +00:00
one with the minimum key value.
<p>
Running time: O(1) actual
2.5.1.0 release
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</p></div>
<dl><dt><span class="strong">Returns:</span></dt><dd>Returns the heap node with the smallest key.</dd></dl>
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<h4>removeMin</h4>
<pre>public&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;removeMin()</pre>
<div class="block">Removes the smallest element from the heap. This will cause the trees in
Initial version, 1.10.0.5 release
2012-05-21 20:32:26 +00:00
the heap to be consolidated, if necessary.
Does not remove the data node so that the current key remains stored.
<p>
Running time: O(log n) amortized
2.5.1.0 release
2014-04-01 11:30:48 +00:00
</p></div>
<dl><dt><span class="strong">Returns:</span></dt><dd>Returns the node with the smallest key.</dd></dl>
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<h4>size</h4>
<pre>public&nbsp;int&nbsp;size()</pre>
<div class="block">Returns the size of the heap which is measured in the number of elements
Initial version, 1.10.0.5 release
2012-05-21 20:32:26 +00:00
contained in the heap.
<p>
Running time: O(1) actual
2.5.1.0 release
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</p></div>
<dl><dt><span class="strong">Returns:</span></dt><dd>Returns the number of elements in the heap.</dd></dl>
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<h4>union</h4>
<pre>public static&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;union(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h1,
<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h2)</pre>
<div class="block">Joins two Fibonacci heaps into a new one. No heap consolidation is
Initial version, 1.10.0.5 release
2012-05-21 20:32:26 +00:00
performed at this time. The two root lists are simply joined together.
<p>
Running time: O(1) actual
2.5.1.0 release
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</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>h1</code> - The first heap.</dd><dd><code>h2</code> - The second heap.</dd>
<dt><span class="strong">Returns:</span></dt><dd>Returns a new heap containing h1 and h2.</dd></dl>
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<h4>cascadingCut</h4>
<pre>protected&nbsp;void&nbsp;cascadingCut(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</pre>
<div class="block">Performs a cascading cut operation. This cuts y from its parent and then
Initial version, 1.10.0.5 release
2012-05-21 20:32:26 +00:00
does the same for its parent, and so on up the tree.
<p>
Running time: O(log n); O(1) excluding the recursion
2.5.1.0 release
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</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>y</code> - The node to perform cascading cut on.</dd></dl>
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<h4>consolidate</h4>
<pre>protected&nbsp;void&nbsp;consolidate()</pre>
<div class="block">Consolidates the trees in the heap by joining trees of equal degree until
Initial version, 1.10.0.5 release
2012-05-21 20:32:26 +00:00
there are no more trees of equal degree in the root list.
<p>
Running time: O(log n) amortized
2.5.1.0 release
2014-04-01 11:30:48 +00:00
</p></div>
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<h4>cut</h4>
<pre>protected&nbsp;void&nbsp;cut(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</pre>
<div class="block">The reverse of the link operation: removes x from the child list of y.
Initial version, 1.10.0.5 release
2012-05-21 20:32:26 +00:00
This method assumes that min is non-null.
<p>
Running time: O(1)
2.5.1.0 release
2014-04-01 11:30:48 +00:00
</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - The child of y to be removed from y's child list.</dd><dd><code>y</code> - The parent of x about to lose a child.</dd></dl>
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<h4>link</h4>
<pre>protected&nbsp;void&nbsp;link(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y,
<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</pre>
<div class="block">Make node y a child of node x.
Initial version, 1.10.0.5 release
2012-05-21 20:32:26 +00:00
<p>
Running time: O(1) actual
2.5.1.0 release
2014-04-01 11:30:48 +00:00
</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>y</code> - The node to become child.</dd><dd><code>x</code> - The node to become parent.</dd></dl>
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