Computing capacitated minimal spanning trees efficiently
β Scribed by A. Kershenbaum
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 645 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The capacitated minimum spanning tree is an offspring of the minimum spanning tree and network flow problems. It has application in the design of multipoint linkages in elementary teleprocessing tree networks. Some theorems are used in conjunction with Little's branch and bound algorith
Uniform and minimal random spanning trees for finite graphs are well-known objects. Analogues of these for the nearest-neighbor graph on Z d have been studied by Pemantle and Alexander. Here we propose analogous definitions of uniform resp. minimal essential spanning forests for an infinite tree β«,
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