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LATIN
2010
Springer
14 years 18 days ago
Euclidean Prize-Collecting Steiner Forest
In this paper, we consider Steiner forest and its generalizations, prize-collecting Steiner forest and k-Steiner forest, when the vertices of the input graph are points in the Euc...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi
FOCS
2004
IEEE
13 years 11 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
SODA
2003
ACM
133views Algorithms» more  SODA 2003»
13 years 8 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...
SIAMCOMP
2010
125views more  SIAMCOMP 2010»
13 years 2 months ago
Approximating Steiner Networks with Node-Weights
The (undirected) Steiner Network problem is: given a graph = ( , ) with edge/node-weights and edge-connectivity requirements { ( , ) : , }, find a minimumweight subgraph of conta...
Zeev Nutov
SODA
1992
ACM
252views Algorithms» more  SODA 1992»
13 years 8 months ago
A General Approximation Technique for Constrained Forest Problems
We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph wit...
Michel X. Goemans, David P. Williamson