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» New primal-dual algorithms for Steiner tree problems
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WADS
2007
Springer
165views Algorithms» more  WADS 2007»
14 years 4 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
CCCG
2007
13 years 11 months ago
Triangulations Loosing Bundles and Weight
We introduce bundle-free triangulations, that are free of large collection of triangles overlapping a circle empty of vertices. We prove that bundle-free Steiner triangulations ca...
Cem Boyaci, Hale Erten, Alper Üngör
SIAMCOMP
2008
104views more  SIAMCOMP 2008»
13 years 10 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
14 years 3 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
GECCO
2004
Springer
123views Optimization» more  GECCO 2004»
14 years 3 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