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» Approximating the Weight of Shallow Steiner Trees
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ESA
2009
Springer
144views Algorithms» more  ESA 2009»
13 years 11 months ago
Narrow-Shallow-Low-Light Trees with and without Steiner Points
We show that for every set S of n points in the plane and a designated point rt ∈ S, there exists a tree T that has small maximum degree, depth and weight. Moreover, for every po...
Michael Elkin, Shay Solomon
APPROX
2005
Springer
131views Algorithms» more  APPROX 2005»
13 years 10 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
STOC
2010
ACM
261views Algorithms» more  STOC 2010»
13 years 9 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...
SODA
2000
ACM
96views Algorithms» more  SODA 2000»
13 years 6 months ago
Improved Steiner tree approximation in graphs
The Steiner tree problem in weighted graphs seeks a minimum weight connected subgraph containing a given subset of the vertices terminals. We present a new polynomial-time heurist...
Gabriel Robins, Alexander Zelikovsky