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» A Partition-Based Relaxation For Steiner Trees
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CORR
2007
Springer
134views Education» more  CORR 2007»
13 years 4 months ago
A Partition-Based Relaxation For Steiner Trees
The Steiner tree problem is a classical NP-hard optimization problem with a wide range of practical applications. In an instance of this problem, we are given an undirected graph ...
Jochen Könemann, David Pritchard, Kunlun Tan
IPCO
2010
152views Optimization» more  IPCO 2010»
13 years 6 months ago
Hypergraphic LP Relaxations for Steiner Trees
We investigate hypergraphic LP relaxations for the Steiner tree problem, primarily the partition LP relaxation introduced by K
Deeparnab Chakrabarty, Jochen Könemann, David...
SODA
2003
ACM
133views Algorithms» more  SODA 2003»
13 years 5 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...
SODA
2012
ACM
225views Algorithms» more  SODA 2012»
11 years 7 months ago
Approximating rooted Steiner networks
The Directed Steiner Tree (DST) problem is a cornerstone problem in network design. We focus on the generalization of the problem with higher connectivity requirements. The proble...
Joseph Cheriyan, Bundit Laekhanukit, Guyslain Nave...
IPCO
2008
91views Optimization» more  IPCO 2008»
13 years 6 months ago
New Geometry-Inspired Relaxations and Algorithms for the Metric Steiner Tree Problem
Abstract. Determining the integrality gap of the bidirected cut relaxation for the metric Steiner tree problem, and exploiting it algorithmically, is a long-standing open problem. ...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....