TY - GEN
T1 - Optimal randomized EREW PRAM algorithms for finding spanning forests and for other basic graph connectivity problems
AU - Halperin, Shay
AU - Zwick, Uri
PY - 1996/1/28
Y1 - 1996/1/28
N2 - We present the first randomized O(log n) time and O(m + n) work EREW PRAM algorithm for finding a spanning forest of an undirected graph G = (V, E) with n vertices and m edges. Our algorithm is optimal with respect to time, work and space. As a consequence we get optimal randomized EREW PRAM algorithms for other basic connectivity problems such as finding a bipartite partition, finding bridges and biconnected components, and finding Euler tours in Eulerean graphs. For other problems such as finding an ear decomposition, finding an open ear decomposition, finding a strong orientation, and finding an si-numbering we get optimal randomized CREW PRAM algorithms.
AB - We present the first randomized O(log n) time and O(m + n) work EREW PRAM algorithm for finding a spanning forest of an undirected graph G = (V, E) with n vertices and m edges. Our algorithm is optimal with respect to time, work and space. As a consequence we get optimal randomized EREW PRAM algorithms for other basic connectivity problems such as finding a bipartite partition, finding bridges and biconnected components, and finding Euler tours in Eulerean graphs. For other problems such as finding an ear decomposition, finding an open ear decomposition, finding a strong orientation, and finding an si-numbering we get optimal randomized CREW PRAM algorithms.
UR - http://www.scopus.com/inward/record.url?scp=84969332424&partnerID=8YFLogxK
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AN - SCOPUS:84969332424
T3 - Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
SP - 438
EP - 447
BT - Proceedings of the 7th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1996
PB - Association for Computing Machinery
T2 - 7th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1996
Y2 - 28 January 1996 through 30 January 1996
ER -