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Abstract: We present a parallel algorithm for the problem of computing the transitive closure for an acyclic digraph D with n vertices and m edges. We use the BSP/CGM model of parallel computing. Our algorithm uses O(logp) rounds of communications with p processors, where p n, and each processor has O( mn p ) local memory. The local computation of each processor is equal to the product of the number of edges and vertices of D that are stored in p. (Update)
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BibTeX entry: (Update)
@misc{ ceres-parallel,
author = "E. N. Cáceres and S. W. Song",
title = "A Parallel Algorithm For Transitive Closure",
url = "citeseer.ist.psu.edu/579974.html" }
Citations (may not include all citations):981 Introduction to Parallel Algorithms and Architectures: Array.. (context) - Leighton - 1992
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37 Graph Algorithms - van Leeuwen - 1990
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14 Boolean matrix multiplication and transitive closure (context) - Fisher, Meyer - 1971 DBLP
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3 Transitivit'e et connexit'e (context) - Roy - 1959
2 Minimizing redundant dependence and interprocessor synchroni.. (context) - Chao, Harper - 1995
2 A transitive closure algorithm (context) - Jr - 1970 DBLP
2 Parallel transitive closure for multiprocessor (context) - Toptsis - 1991
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