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» Approximation Algorithms for Euclidean Group TSP
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84
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ICALP
2005
Springer
15 years 4 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....
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
15 years 4 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
CSC
2009
15 years 6 days ago
An Empirical Analysis of Approximation Algorithms for Euclidean TSP
- The Traveling Salesman Problem (TSP) is perhaps the most famous optimization problem in the set NP-hard. Many problems that are natural applications in computer science and engin...
Bárbara Rodeker, M. Virginia Cifuentes, Lil...
70
Voted
SODA
2001
ACM
114views Algorithms» more  SODA 2001»
15 years 14 days ago
Approximation algorithms for TSP with neighborhoods in the plane
In the Euclidean TSP with neighborhoods (TSPN), we are given a collection of n regions (neighborhoods) and we seek a shortest tour that visits each region. As a generalization of ...
Adrian Dumitrescu, Joseph S. B. Mitchell
99
Voted
CCCG
2010
15 years 17 days ago
The traveling salesman problem for lines and rays in the plane
In the Euclidean TSP with neighborhoods (TSPN), we are given a collection of n regions (neighborhoods) and we seek a shortest tour that visits each region. In the path variant, we...
Adrian Dumitrescu