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 -