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
On the approximability of Dense Steiner Problems
β Scribed by Hauptmann, Mathias
- Book ID
- 120515790
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 260 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1570-8667
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we study the approximability of three versions of the Steiner tree problem. For the first one where the input graph is only supposed connected, we show that it is not approximable within better than IV \ Nj-' for any E E (0, l), where V and N are the vertex-set of the input graph and the set of term
## Abstract In this article we study the __group Steiner network__ problem, which is defined in the following way. Given a graph __G__ = (__V,E__), a partition of its vertices into K groups and connectivity requirements between the different groups, the aim is to find simultaneously a set of repres