Approximating the selected-internal Steiner tree
β Scribed by Sun-Yuan Hsieh; Shih-Cheng Yang
- Book ID
- 108281337
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 338 KB
- Volume
- 381
- Category
- Article
- ISSN
- 0304-3975
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π SIMILAR VOLUMES
The problem of constructing a spanning tree for a graph \(G=(V, E)\) with \(n\) vertices whose maximal degree is the smallest among all spanning trees of \(G\) is considered. This problem is easily shown to be NP-hard. In the Steiner version of this problem, along with the input graph, a set of dist
We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400 . The reduction is from H astad's nonapproximability result for maximum satisΓΏability of linear equation modulo 2. The improvement on the