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» An Ant Algorithm for the Steiner Tree Problem in Graphs
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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
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
13 years 11 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
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&...
FSTTCS
2003
Springer
13 years 10 months ago
On the Covering Steiner Problem
The Covering Steiner problem is a common generalization of the k-MST and Group Steiner problems. An instance of the Covering Steiner problem consists of an undirected graph with ed...
Anupam Gupta, Aravind Srinivasan
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...