A Randomized Time-Work Optimal Parallel Algorithm for Finding a Minimum Spanning Forest
โ Scribed by Pettie, Seth; Ramachandran, Vijaya
- Book ID
- 118180381
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2002
- Tongue
- English
- Weight
- 210 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0097-5397
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
We present a simple and implementable algorithm that computes a minimum spanning tree of an undirected weighted graph \(G=(V, E)\) of \(n=|V|\) vertices and \(m=|E|\) edges on an EREW PRAM in \(O\left(\log ^{3 / 2} n\right)\) time using \(n+m\) processors. This represents a substantial improvement i