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» On the Covering Steiner Problem
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APPROX
2005
Springer
131views Algorithms» more  APPROX 2005»
14 years 3 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
SODA
2000
ACM
114views Algorithms» more  SODA 2000»
13 years 11 months ago
The rectilinear Steiner arborescence problem is NP-complete
Given a set P of points in the first quadrant, a Rectilinear Steiner Arborescence (RSA) is a directed tree rooted at the origin, containing all points in P, and composed solely of...
Weiping Shi, Chen Su
IPCO
2007
94views Optimization» more  IPCO 2007»
13 years 11 months ago
Infrastructure Leasing Problems
Consider the following Steiner Tree leasing problem. Given a graph G = (V, E) with root r, and a sequence of terminal sets Dt ⊆ V for each day t ∈ [T]. A feasible solution to t...
Barbara M. Anthony, Anupam Gupta
SODA
2003
ACM
133views Algorithms» more  SODA 2003»
13 years 11 months ago
Integrality ratio for group Steiner trees and directed steiner trees
The natural relaxation for the Group Steiner Tree problem, as well as for its generalization, the Directed Steiner Tree problem, is a flow-based linear programming relaxation. We...
Eran Halperin, Guy Kortsarz, Robert Krauthgamer, A...
FOCS
2004
IEEE
14 years 1 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