Abstract
Given a connected graph G = (V,E) with nonnegative costs on edges, \(c:E\rightarrow {\mathcal R}^+\), and a subset of terminal nodes R ⊂ V, the Steiner tree problem asks for the minimum cost subgraph of G spanning R. The Steiner Tree Problem with distances 1 and 2 (i.e., when the cost of any edge is either 1 or 2) has been investigated for long time since it is MAX SNP-hard and admits better approximations than the general problem. We give a 1.25 approximation algorithm for the Steiner Tree Problem with distances 1 and 2, improving on the previously best known ratio of 1.279.
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© 2009 Springer-Verlag Berlin Heidelberg
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Berman, P., Karpinski, M., Zelikovsky, A. (2009). 1.25-Approximation Algorithm for Steiner Tree Problem with Distances 1 and 2. In: Dehne, F., Gavrilova, M., Sack, JR., Tóth , C.D. (eds) Algorithms and Data Structures. WADS 2009. Lecture Notes in Computer Science, vol 5664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03367-4_8
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DOI: https://doi.org/10.1007/978-3-642-03367-4_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03366-7
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