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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(log p) rounds of communications with p processors, where p n, and each processor has O( mn ) 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{ caceres-parallel,
author = "E. N. Caceres and S. W. Song",
title = "A Parallel Algorithm for Transitive Closure",
url = "citeseer.ist.psu.edu/556428.html" }
Citations (may not include all citations):981 Introduction to Parallel Algorithms and Architectures: Array.. (context) - Leighton - 1992
735 A bridging model for parallel computation (context) - Valiant - 1990 ACM DBLP
268 Parallel Algorithms for Shared-Memory Machines (context) - Karp, Ramachandran - 1990 ACM DBLP
135 Introduction to Parallel Algorithms (context) - JaJa - 1992 ACM
86 A theorem on Boolean matrices (context) - Warshall - 1962 ACM DBLP
64 Scalable parallel computational geometry for coarse grained .. - Dehne, Fabri et al. - 1993 DBLP
62 The transitive reduction of a directed graph (context) - Aho, Garey et al. - 1972 DBLP
48 Efficient parallel graph algorithms for coarse grained multi.. - Caceres, Dehne et al. - 1997 ACM DBLP
37 Graph Algorithms - van Leeuwen - 1990 ACM DBLP
30 Coarse grained parallel algorithms (context) - Dehne - 1999
21 An improved algorithm for transitive closure on acyclic digr.. (context) - Simon - 1988 ACM DBLP
14 Boolean matrix multiplication and transitive closure (context) - Fisher, Meyer - 1971
8 Application of a Method of a Fast Multiplication of Matrices.. (context) - Furman - 1970
7 On economical constructions of the transitive closure of an .. (context) - Arlazarov, Dinic et al. - 1970
5 the calculation of transitive reduction-closure of orders (context) - Habib, Morvan et al. - 1993
3 Transitivite et connexite (context) - Roy - 1959
2 Parallel transitive closure for multiprocessor (context) - Toptsis - 1991
2 Minimizing redundant dependence and interprocessor synchroni.. (context) - Chao, Harper - 1995
2 A transitive closure algorithm (context) - Jr - 1970 DBLP
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