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matrix-partitioner

Implementation of the matrix partitioning algorithm described our paper. A database of optimally partitioned matrices may be found at this location.

Usage

The tool reads an input matrix from standard in, in MatrixMarket format (coordinate, specifically, as this tool is intended for sparse matrices), and writes the resulting partitioning to standard out, also in MatrixMarket format. During the partitioning, debug information is written to standard error.

timon@timon-laptop ~/mp $ ./mp -h
 MP - Matrix Partitioner

 Usage:	./mp [-e eps] [-t tl] <input >output 2>debug

 The program reads a matrix in MatrixMarket format
 from stdin and writes the solution to stdout. Debug
 is written to stderr.

 Flags:
	-e eps	Maximum tolerated load imbalance.
		Defaults to 0.03.
	-t tl	Timelimit, in seconds. Defaults to
		0 for no limit.

Example usage:

./mp -e 0.03 -t 60 < mtx/mymatrix.mtx > mtx/mymatrix_partitioned.mtx 2> mymatrix_debug.txt

The output matrix is in integer coordinate format, with a 1 (resp. 2) indicating the nonzero goes to the first (resp. second) side of the bipartitioning, and a 3 indicating the nonzero can be assigned arbitrarily without violating the load balancing constraint.