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IPCO
2008
91views Optimization» more  IPCO 2008»
8 years 4 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....
ICCAD
1999
IEEE
181views Hardware» more  ICCAD 1999»
8 years 7 months ago
A new heuristic for rectilinear Steiner trees
The minimum rectilinear Steiner tree (RST) problem is one of the fundamental problems in the field of electronic design automation. The problem is NP-hard, and much work has been ...
Ion I. Mandoiu, Vijay V. Vazirani, Joseph L. Ganle...
SODA
2003
ACM
133views Algorithms» more  SODA 2003»
8 years 4 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...
IPCO
2001
166views Optimization» more  IPCO 2001»
8 years 4 months ago
Approximate k-MSTs and k-Steiner Trees via the Primal-Dual Method and Lagrangean Relaxation
Garg [10] gives two approximation algorithms for the minimum-cost tree spanning k vertices in an undirected graph. Recently Jain and Vazirani [16] discovered primal-dual approxima...
Fabián A. Chudak, Tim Roughgarden, David P....
GECCO
2004
Springer
134views Optimization» more  GECCO 2004»
8 years 8 months ago
Combining a Memetic Algorithm with Integer Programming to Solve the Prize-Collecting Steiner Tree Problem
The prize-collecting Steiner tree problem on a graph with edge costs and vertex profits asks for a subtree minimizing the sum of the total cost of all edges in the subtree plus th...
Gunnar W. Klau, Ivana Ljubic, Andreas Moser, Petra...
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