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<h2 title="Class PartitionStrategy.EdgePartition2D$" class="title">Class PartitionStrategy.EdgePartition2D$</h2>
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<li>java.lang.Object</li>
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<pre>public static class <span class="strong">PartitionStrategy.EdgePartition2D$</span>
extends java.lang.Object
implements <a href="../../../../org/apache/spark/graphx/PartitionStrategy.html" title="interface in org.apache.spark.graphx">PartitionStrategy</a>, scala.Product, scala.Serializable</pre>
<div class="block">Assigns edges to partitions using a 2D partitioning of the sparse edge adjacency matrix,
guaranteeing a <code>2 * sqrt(numParts)</code> bound on vertex replication.
<p>
Suppose we have a graph with 12 vertices that we want to partition
over 9 machines. We can use the following sparse matrix representation:
<p>
<pre>
__________________________________
v0 | P0 * | P1 | P2 * |
v1 | **** | * | |
v2 | ******* | ** | **** |
v3 | ***** | * * | * |
----------------------------------
v4 | P3 * | P4 *** | P5 ** * |
v5 | * * | * | |
v6 | * | ** | **** |
v7 | * * * | * * | * |
----------------------------------
v8 | P6 * | P7 * | P8 * *|
v9 | * | * * | |
v10 | * | ** | * * |
v11 | * <-E | *** | ** |
----------------------------------
</pre>
<p>
The edge denoted by <code>E</code> connects <code>v11</code> with <code>v1</code> and is assigned to processor <code>P6</code>. To get the
processor number we divide the matrix into <code>sqrt(numParts)</code> by <code>sqrt(numParts)</code> blocks. Notice
that edges adjacent to <code>v11</code> can only be in the first column of blocks <code>(P0, P3,
P6)</code> or the last
row of blocks <code>(P6, P7, P8)</code>. As a consequence we can guarantee that <code>v11</code> will need to be
replicated to at most <code>2 * sqrt(numParts)</code> machines.
<p>
Notice that <code>P0</code> has many edges and as a consequence this partitioning would lead to poor work
balance. To improve balance we first multiply each vertex id by a large prime to shuffle the
vertex locations.
<p>
When the number of partitions requested is not a perfect square we use a slightly different
method where the last column can have a different number of rows than the others while still
maintaining the same size per block.</div>
<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../serialized-form.html#org.apache.spark.graphx.PartitionStrategy.EdgePartition2D$">Serialized Form</a></dd></dl>
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<code><a href="../../../../org/apache/spark/graphx/PartitionStrategy.CanonicalRandomVertexCut$.html" title="class in org.apache.spark.graphx">PartitionStrategy.CanonicalRandomVertexCut$</a>, <a href="../../../../org/apache/spark/graphx/PartitionStrategy.EdgePartition1D$.html" title="class in org.apache.spark.graphx">PartitionStrategy.EdgePartition1D$</a>, <a href="../../../../org/apache/spark/graphx/PartitionStrategy.EdgePartition2D$.html" title="class in org.apache.spark.graphx">PartitionStrategy.EdgePartition2D$</a>, <a href="../../../../org/apache/spark/graphx/PartitionStrategy.RandomVertexCut$.html" title="class in org.apache.spark.graphx">PartitionStrategy.RandomVertexCut$</a></code></li>
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<td class="colFirst"><code>static <a href="../../../../org/apache/spark/graphx/PartitionStrategy.EdgePartition2D$.html" title="class in org.apache.spark.graphx">PartitionStrategy.EdgePartition2D$</a></code></td>
<td class="colLast"><code><strong><a href="../../../../org/apache/spark/graphx/PartitionStrategy.EdgePartition2D$.html#MODULE$">MODULE$</a></strong></code>
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<td class="colOne"><code><strong><a href="../../../../org/apache/spark/graphx/PartitionStrategy.EdgePartition2D$.html#PartitionStrategy.EdgePartition2D$()">PartitionStrategy.EdgePartition2D$</a></strong>()</code> </td>
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<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../org/apache/spark/graphx/PartitionStrategy.EdgePartition2D$.html#getPartition(long, long, int)">getPartition</a></strong>(long src,
long dst,
int numParts)</code>
<div class="block">Returns the partition number for a given edge.</div>
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<pre>public static final <a href="../../../../org/apache/spark/graphx/PartitionStrategy.EdgePartition2D$.html" title="class in org.apache.spark.graphx">PartitionStrategy.EdgePartition2D$</a> MODULE$</pre>
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<pre>public PartitionStrategy.EdgePartition2D$()</pre>
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<pre>public int getPartition(long src,
long dst,
int numParts)</pre>
<div class="block"><strong>Description copied from interface: <code><a href="../../../../org/apache/spark/graphx/PartitionStrategy.html#getPartition(long, long, int)">PartitionStrategy</a></code></strong></div>
<div class="block">Returns the partition number for a given edge.</div>
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<dd><code><a href="../../../../org/apache/spark/graphx/PartitionStrategy.html#getPartition(long, long, int)">getPartition</a></code> in interface <code><a href="../../../../org/apache/spark/graphx/PartitionStrategy.html" title="interface in org.apache.spark.graphx">PartitionStrategy</a></code></dd>
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