In this paper we consider the Steiner multicut problem. This is a generalization of the minimum multicut problem where instead of separating node pairs, the goal is to find a minimum weight set of edges that separates all given sets of nodes. A set is considered separated if it is not contained in a
Approximation Algorithms for Directed Steiner Problems
β Scribed by Moses Charikar; Chandra Chekuri; To-yat Cheung; Zuo Dai; Ashish Goel; Sudipto Guha; Ming Li
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 181 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0196-6774
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β¦ Synopsis
We give the first non-trivial approximation algorithms for the Steiner tree problem and the generalized Steiner network problem on general directed graphs. These problems have several applications in network design and multicast routing.
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The group Steiner tree problem is a generalization of the Steiner tree problem where we are given several subsets (groups) of vertices in a weighted graph, and the goal is to find a minimum-weight connected subgraph containing at least one vertex from each group.The problem was introduced by Reich a
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