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» Solving Steiner tree problems in graphs to optimality
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STOC
2010
ACM
261views Algorithms» more  STOC 2010»
14 years 15 days ago
An Improved LP-based Approximation for Steiner Tree
The Steiner tree problem is one of the most fundamental ÆÈ-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum weight tree spanning ...
Jaroslaw Byrka, Fabrizio Grandoni, Thomas Rothvoss...
ICCAD
2010
IEEE
229views Hardware» more  ICCAD 2010»
13 years 5 months ago
Obstacle-avoiding rectilinear Steiner minimum tree construction: An optimal approach
In this paper, we present an efficient method to solve the obstacle-avoiding rectilinear Steiner minimum tree (OARSMT) problem optimally. Our work is a major improvement over the w...
Tao Huang, Evangeline F. Y. Young
ESA
2008
Springer
108views Algorithms» more  ESA 2008»
13 years 9 months ago
Two-Stage Robust Network Design with Exponential Scenarios
Abstract. We study two-stage robust variants of combinatorial optimization problems like Steiner tree, Steiner forest, and uncapacitated facility location. The robust optimization ...
Rohit Khandekar, Guy Kortsarz, Vahab S. Mirrokni, ...
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
14 years 15 days 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...
ENDM
2010
101views more  ENDM 2010»
13 years 7 months ago
Strong Lower Bounds for a Survivable Network Design Problem
We consider a generalization of the Prize Collecting Steiner Tree Problem on a graph with special redundancy requirements on a subset of the customer nodes suitable to model a rea...
Markus Leitner, Günther R. Raidl