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
An optimal EREW PRAM algorithm for minimum spanning tree verification
โ Scribed by Valerie King; Chung Keung Poon; Vijaya Ramachandran; Santanu Sinha
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 661 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0020-0190
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โฆ Synopsis
We present a deterministic parallel algorithm on the EREW PRAM model to verify a minimum spanning tree of a graph. The algorithm runs on a graph with n vertices and m edges in O(logn) time and O(m + n) work. The algorithm is a parallelization of King's linear time sequential algorithm for the problem. @
๐ SIMILAR VOLUMES
Given a undirected graph G, the breadth-first search tree is constructed by a breadth-first search on G. In this paper, an optimal parallel algorithm is presented for constructing the breadth-first search tree for permutation graphs in O(log n) time by using O(n/Iog n) processors under the EREW PRAM