object PartitionStrategy extends Serializable
Collection of built-in PartitionStrategy implementations.
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- PartitionStrategy.scala
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def
fromString(s: String): PartitionStrategy
Returns the PartitionStrategy with the specified name.
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object
CanonicalRandomVertexCut extends PartitionStrategy with Product with Serializable
Assigns edges to partitions by hashing the source and destination vertex IDs in a canonical direction, resulting in a random vertex cut that colocates all edges between two vertices, regardless of direction.
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object
EdgePartition1D extends PartitionStrategy with Product with Serializable
Assigns edges to partitions using only the source vertex ID, colocating edges with the same source.
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object
EdgePartition2D extends PartitionStrategy with Product with Serializable
Assigns edges to partitions using a 2D partitioning of the sparse edge adjacency matrix, guaranteeing a
2 * sqrt(numParts)
bound on vertex replication.Assigns edges to partitions using a 2D partitioning of the sparse edge adjacency matrix, guaranteeing a
2 * sqrt(numParts)
bound on vertex replication.Suppose we have a graph with 12 vertices that we want to partition over 9 machines. We can use the following sparse matrix representation:
__________________________________ v0 | P0 * | P1 | P2 * | v1 | **** | * | | v2 | ******* | ** | **** | v3 | ***** | * * | * | ---------------------------------- v4 | P3 * | P4 *** | P5 ** * | v5 | * * | * | | v6 | * | ** | **** | v7 | * * * | * * | * | ---------------------------------- v8 | P6 * | P7 * | P8 * *| v9 | * | * * | | v10 | * | ** | * * | v11 | * <-E | *** | ** | ----------------------------------
The edge denoted by
E
connectsv11
withv1
and is assigned to processorP6
. To get the processor number we divide the matrix intosqrt(numParts)
bysqrt(numParts)
blocks. Notice that edges adjacent tov11
can only be in the first column of blocks(P0, P3, P6)
or the last row of blocks(P6, P7, P8)
. As a consequence we can guarantee thatv11
will need to be replicated to at most2 * sqrt(numParts)
machines.Notice that
P0
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.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.
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object
RandomVertexCut extends PartitionStrategy with Product with Serializable
Assigns edges to partitions by hashing the source and destination vertex IDs, resulting in a random vertex cut that colocates all same-direction edges between two vertices.
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