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» Improved Steiner tree approximation in graphs
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CORR
2007
Springer
134views Education» more  CORR 2007»
13 years 5 months ago
A Partition-Based Relaxation For Steiner Trees
The Steiner tree problem is a classical NP-hard optimization problem with a wide range of practical applications. In an instance of this problem, we are given an undirected graph ...
Jochen Könemann, David Pritchard, Kunlun Tan
MFCS
2001
Springer
13 years 10 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
SIAMCOMP
2008
104views more  SIAMCOMP 2008»
13 years 5 months ago
A Group-Strategyproof Cost Sharing Mechanism for the Steiner Forest Game
We consider a game-theoretical variant of the Steiner forest problem in which each player j, out of a set of k players, strives to connect his terminal pair (sj, tj) of vertices in...
Jochen Könemann, Stefano Leonardi, Guido Sch&...
IPL
2002
105views more  IPL 2002»
13 years 5 months ago
Steiner trees in uniformly quasi-bipartite graphs
The area of approximation algorithms for the Steiner tree problem in graphs has seen continuous progress over the last years. Currently the best approximation
Clemens Gröpl, Stefan Hougardy, Till Nierhoff...
SODA
1992
ACM
252views Algorithms» more  SODA 1992»
13 years 6 months ago
A General Approximation Technique for Constrained Forest Problems
We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph wit...
Michel X. Goemans, David P. Williamson