Conversion of the Steiner Problem on the Euclidean Plane to the Steiner Problem on Graph
β Scribed by D. T. Lotarev; A. P. Uzdemir
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2005
- Tongue
- English
- Weight
- 158 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0005-1179
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π SIMILAR VOLUMES
We investigate a practical variant of the well-known graph Steiner tree problem. In this variant, every target vertex is required to be a leaf vertex in the solution Steiner tree. We present hardness results for this variant as well as a polynomial time approximation algorithm with performance ratio
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
The Steiner Problem in Graphs (SP) is the problem of finding a set of edges with minimum total weight which connects a given subset of nodes in an edge-weighted (undirected) graph. In the more general Node-weighted Steiner Problem (NSP) also node weights are considered. A restricted minimum spanning