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» A branch and cut algorithm for the Steiner problem in graphs
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ISAAC
2010
Springer
253views Algorithms» more  ISAAC 2010»
13 years 5 months ago
Solving Two-Stage Stochastic Steiner Tree Problems by Two-Stage Branch-and-Cut
Abstract. We consider the Steiner tree problem under a 2-stage stochastic model with recourse and finitely many scenarios (SSTP). Thereby, edges are purchased in the first stage wh...
Immanuel M. Bomze, Markus Chimani, Michael Jü...
ICCAD
1999
IEEE
181views Hardware» more  ICCAD 1999»
13 years 11 months ago
A new heuristic for rectilinear Steiner trees
The minimum rectilinear Steiner tree (RST) problem is one of the fundamental problems in the field of electronic design automation. The problem is NP-hard, and much work has been ...
Ion I. Mandoiu, Vijay V. Vazirani, Joseph L. Ganle...
NETWORKS
2006
13 years 7 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
ICALP
2009
Springer
14 years 7 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
CORR
2007
Springer
134views Education» more  CORR 2007»
13 years 7 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