The internal Steiner tree problem: Hardness and approximations
β Scribed by Huang, Chao-Wen; Lee, Chia-Wei; Gao, Huang-Ming; Hsieh, Sun-Yuan
- Book ID
- 119291719
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 834 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0885-064X
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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
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