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NETWORKS
2006
13 years 5 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner
WG
2001
Springer
13 years 9 months ago
Lower Bounds for Approximation Algorithms for the Steiner Tree Problem
Clemens Gröpl, Stefan Hougardy, Till Nierhoff...
MFCS
2001
Springer
13 years 9 months ago
On the Approximability of the Steiner Tree Problem
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 i...
Martin Thimm
SODA
2003
ACM
133views Algorithms» more  SODA 2003»
13 years 6 months ago
Integrality ratio for group Steiner trees and directed steiner trees
The natural relaxation for the Group Steiner Tree problem, as well as for its generalization, the Directed Steiner Tree problem, is a flow-based linear programming relaxation. We...
Eran Halperin, Guy Kortsarz, Robert Krauthgamer, A...
CCCG
2007
13 years 6 months ago
Terminal Steiner Tree with Bounded Edge Length
In this paper, we study a Steiner tree related problem called “Terminal Steiner Tree with Bounded Edge Length”: given a set of terminal points P in a plane, one is asked to ...
Zhiyong Lin