Parallel Algorithms for Planar Graph Isomorphism and Related Problems.
JaJa, Joseph F.
Kosaraju, S. Rao
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We present new efficient parallel algorithms for planar graph isomorphism and several related problems. Our main parallel model is the SQRT n x SQRT n mesh of processors, where n is the length of the input. Our results include O(SQRT n) time algorithms for finding a good separating cycle and the triconnected components of a planar graph, and for solving the single function coarsest partitioning problem.