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SODA
2001
ACM
114views Algorithms» more  SODA 2001»
14 years 8 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
CCCG
2010
14 years 11 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
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 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
ICALP
2005
Springer
14 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....
SODA
2008
ACM
156views Algorithms» more  SODA 2008»
14 years 10 days ago
Approximating TSP on metrics with bounded global growth
The Traveling Salesman Problem (TSP) is a canonical NP-complete problem which is known to be MAXSNP hard even on Euclidean metrics (of high dimensions) [40]. In order to circumven...
T.-H. Hubert Chan, Anupam Gupta