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» Approximating Spanning Trees with Inner Nodes Cost
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STOC
2010
ACM
261views Algorithms» more  STOC 2010»
13 years 11 months 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...
HM
2007
Springer
107views Optimization» more  HM 2007»
14 years 15 days ago
A Memetic Algorithm for the Optimum Communication Spanning Tree Problem
For the NP-hard Optimum Communication Spanning Tree (OCST) problem a cost minimizing spanning tree has to be found, where the cost depends on the communication volume between each ...
Thomas Fischer, Peter Merz
AAIM
2010
Springer
155views Algorithms» more  AAIM 2010»
13 years 9 months ago
The (K, k)-Capacitated Spanning Tree Problem
Abstract. This paper considers a generalization of the capacitated spanning tree, in which some of the nodes have capacity K, and the others have capacity k < K. We prove that t...
Esther M. Arkin, Nili Guttmann-Beck, Refael Hassin
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
14 years 6 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
APPROX
2005
Springer
131views Algorithms» more  APPROX 2005»
13 years 12 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