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An Efficient Parallel Recognition Algorithm For Bipartite-Permutation Graphs
January 1996 (vol. 7 no. 1)
pp. 3-10

Abstract—In this paper, we present a parallel recognition algorithm for bipartite-permutation graphs. The algorithm can be executed in O(log n) time on the CRCW PRAM if O(n3 /log n) processors are used, or O(log2n) time on the CREW PRAM if O(n3 /log2n) processors are used. Previously, Chen and Yesha have presented another CRCW PRAM algorithm that takes O(log2n) time if O(n3) processors are used. Compared with Chen and Yesha's algorithm, our algorithm requires either less time and fewer processors on the same machine model, or fewer processors on a weaker machine model. Besides, our algorithm can be applied to determine if two bipartite-permutation graphs are isomorphic.

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Index Terms:
Bipartite-permutation graph, graph recognition, graph isomorphism, parallel algorithm, and parallel random access machine.
Chang-Wu Yu, Gen-Huey Chen, "An Efficient Parallel Recognition Algorithm For Bipartite-Permutation Graphs," IEEE Transactions on Parallel and Distributed Systems, vol. 7, no. 1, pp. 3-10, Jan. 1996, doi:10.1109/71.481592
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