The optimum requirement spanning tree (ORST) studied by Hu is known to be obtained by the Gomory-Hu algorithm when the degrees of vertices are not restricted. We consider a problem to find an ORST with maximum-degree constraints and suggest a particular spanning tree T\* as a candidate for the solut
Optimum requirement spanning trees and reliability of tree networks
β Scribed by Anazawa, Tsutomu; Kodera, Takayuki; Jimbo, Masakazu
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 130 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, an explicit solution of the optimum requirement spanning tree (ORST), studied by Hu, is obtained in the case when a weight is assigned to each node and when maximum-degree conditions are given. Further, the solution is shown to minimize the probability of communication failure in the situation where one node or line is broken down.
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