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SIAMCOMP
2008
104views more  SIAMCOMP 2008»
13 years 4 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&...
SODA
1990
ACM
114views Algorithms» more  SODA 1990»
13 years 5 months ago
Finding Steiner Forests in Planar Graphs
Given an unweighted planar graph G together with nets of terminals, our problem is to find a Steiner forest, i.e., vertex-disjoint trees, each of which interconnects all the termin...
Hitoshi Suzuki, Takehiro Akama, Takao Nishizeki
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
13 years 9 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
LATIN
2010
Springer
13 years 9 months ago
Euclidean Prize-Collecting Steiner Forest
In this paper, we consider Steiner forest and its generalizations, prize-collecting Steiner forest and k-Steiner forest, when the vertices of the input graph are points in the Euc...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi