Node-weighted Steiner tree approximation in
β Scribed by Feng Zou; Xianyue Li; Suogang Gao; Weili Wu
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 299 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1382-6905
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We analyze the approximation ratio of the average distance heuristic for the Steiner tree problem on graphs and prove nearly tight bounds for the cases of complete graphs with binary weights {1, d} or weights in the interval [1, d], where d Β°2. The improvement over other analyzed algorithms is a fac
In this paper, we study the Node Weighted Steiner Tree Problem (NSP). This problem is a generalization of the Steiner tree problem in the sense that vertex weights are considered. Given an undirected graph, the problem is to find a tree that spans a subset of the vertices and is such that the total