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ICALP
2009
Springer
14 years 6 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 ...
CORR
2007
Springer
134views Education» more  CORR 2007»
13 years 5 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
FSTTCS
2009
Springer
14 years 10 days ago
Approximating Fault-Tolerant Group-Steiner Problems
In this paper, we initiate the study of designing approximation algorithms for FaultTolerant Group-Steiner (FTGS) problems. The motivation is to protect the well-studied group-Ste...
Rohit Khandekar, Guy Kortsarz, Zeev Nutov
SODA
2003
ACM
133views Algorithms» more  SODA 2003»
13 years 7 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
2008
ACM
128views Algorithms» more  SODA 2008»
13 years 7 months ago
Analysis of greedy approximations with nonsubmodular potential functions
In this paper, we present two techniques to analyze greedy approximation with nonsubmodular functions restricted submodularity and shifted submodularity. As an application of the ...
Ding-Zhu Du, Ronald L. Graham, Panos M. Pardalos, ...