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APPROX
2005
Springer
131views Algorithms» more  APPROX 2005»
14 years 4 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
COCOA
2009
Springer
14 years 5 months ago
A PTAS for Node-Weighted Steiner Tree in Unit Disk Graphs
Abstract. The node-weighted Steiner tree problem is a variation of classical Steiner minimum tree problem. Given a graph G = (V, E) with node weight function C : V → R+ and a sub...
Xianyue Li, Xiao-Hua Xu, Feng Zou, Hongwei Du, Pen...
ICALP
2009
Springer
14 years 11 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
14 years 5 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
FOCS
2004
IEEE
14 years 2 months ago
An Approximate Max-Steiner-Tree-Packing Min-Steiner-Cut Theorem
Given an undirected multigraph G and a subset of vertices S V (G), the STEINER TREE PACKING problem is to find a largest collection of edge-disjoint trees that each connects S. T...
Lap Chi Lau