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» Approximating Fault-Tolerant Group-Steiner Problems
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SODA
2003
ACM
133views Algorithms» more  SODA 2003»
13 years 6 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...
ICALP
2005
Springer
13 years 10 months ago
Approximation Algorithms for Euclidean Group TSP
In the Euclidean group Traveling Salesman Problem (TSP), we are given a set of points P in the plane and a set of m connected regions, each containing at least one point of P. We w...
Khaled M. Elbassioni, Aleksei V. Fishkin, Nabil H....
APPROX
2000
Springer
122views Algorithms» more  APPROX 2000»
13 years 9 months ago
An approximation algorithm for the fault tolerant metric facility location problem
We consider a fault tolerant version of the metric facility location problem in which every city, j, is required to be connected to rj facilities. We give the first non-trivial ap...
Kamal Jain, Vijay V. Vazirani
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
13 years 10 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
INFOCOM
2007
IEEE
13 years 11 months ago
Fault-Tolerant Relay Node Placement in Wireless Sensor Networks: Problems and Algorithms
— Two fundamental functions of the sensor nodes in a wireless sensor network are to sense its environment and to transmit sensed information to a basestation. One approach to pro...
Weiyi Zhang, Guoliang Xue, Satyajayant Misra