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  A Polynomial-Time SubpolynomApproximation Scheme for the Acyclic Directed Steiner Tree Problem

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by Alexander Zelikovsky
ftp://theory.cs.uni-bonn.de/pub/reports/cs-reports/1994/85113-cs.ps.gz
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Abstract:

The acyclic directed Steiner tree problem (ADSP) requires a minimal outward tree within an acyclic digraph with edge costs G = (V; E; d) which connects a root r with a distinguished subset S ae V, #S = k. The best possible performance guarantee of any polynomial approximation algorithm for ADSP cannot be less than 1 4 log k unless P ' NP. The presented series of heuristics A n has a performance guarantee k 1

Citations

515 Proof verification and hardness of approximation problems – Arora, Lund, et al. - 1992
317 On the hardness of approximating minimization problems – Lund, Yannakakis - 1994
262 The Steiner Tree Problem – Hwang, Richards, et al. - 1992
232 Reducibility among combinatorial problems, Complexity of Computer Computations – Karp - 1972
207 An approximate max-flow min-cut theorems for uniform multicommodity flow problem with applications to approximation algorithms – Leighton, Rao - 1988
174 An approximate solution for the Steiner problem in graphs – Takahashi, Matsuyama
83 An 11/6-approximation algorithm for the network Steiner problem, Algorithmica 9 – Zelikovsky - 1993
53 A nearly best-possible approximation algorithm for nodeweighted Steiner trees – Klein, Ravi - 1995
50 The computation of nearly minimal Steiner trees in graphs – Rayward-Smith - 1983
45 The Steiner problems with edge lengths 1 and 2 – Bern, Plassmann - 1989
27 On better heuristic for Euclidean Steiner minimum trees – Du, Zhang, et al. - 1991
26 A method of deducing branching sequences in phylogeny. Evolution 19 – Camin, Sokal - 1972
4 Cost-minimal trees in directed acyclic graphs – Nastansky, Selkow, et al. - 1974
4 Worst case-performance of Rayward-Smith's Steiner tree heuristic – Waxman, Imase - 1988
4 approximation algorithms for the network and Euclidean Steiner tree problems – Zelikovsky, Better - 1995
2 Recent developements on the approximability of combinatorial problems – Yannakakis - 1993
1 The rectilinear Steiner absorescence problem, in: Algorithmica 7 – Rao, Sadayappan, et al. - 1992
1 Improved Approximation Bounds for the Rectilinear Steiner Tree Problem – Zelikovsky, Berman, et al. - 1994