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» The Polymatroid Steiner Problems
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153
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ICPADS
2007
IEEE
15 years 10 months ago
Parallel Minimum Spanning Tree Heuristic for the steiner problem in graphs
Given an undirected graph with weights associated with its edges, the Steiner tree problem consists of finding a minimum weight subtree spanning a given subset of (terminal) nodes...
Hoda Akbari, Zeinab Iranmanesh, Mohammad Ghodsi
132
Voted
GECCO
2004
Springer
123views Optimization» more  GECCO 2004»
15 years 9 months ago
Heuristic Methods for Solving Euclidean Non-uniform Steiner Tree Problems
In this paper, we consider a variation of the Euclidean Steiner Tree Problem in which the space underlying the set of nodes has a specified non-uniform cost structure. This proble...
Ian Frommer, Bruce L. Golden, Guruprasad Pundoor
155
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WADS
2007
Springer
165views Algorithms» more  WADS 2007»
15 years 9 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
148
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NETWORKS
2006
15 years 3 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
229
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APPROX
2005
Springer
131views Algorithms» more  APPROX 2005»
15 years 9 months ago
Approximation Schemes for Node-Weighted Geometric Steiner Tree Problems
Abstract. In this paper we introduce a new technique for approximation schemes for geometrical optimization problems. As an example problem, we consider the following variant of th...
Jan Remy, Angelika Steger