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» Labeled Traveling Salesman Problems: Complexity and approxim...
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DISOPT
2010
129views more  DISOPT 2010»
13 years 5 months ago
Labeled Traveling Salesman Problems: Complexity and approximation
We consider labeled Traveling Salesman Problems, defined upon a complete graph of n vertices with colored edges. The objective is to find a tour of maximum or minimum number of co...
Basile Couëtoux, Laurent Gourvès, J&ea...
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
WADS
2005
Springer
187views Algorithms» more  WADS 2005»
13 years 10 months ago
Improved Approximation Algorithms for Metric Maximum ATSP and Maximum 3-Cycle Cover Problems
We consider an APX-hard variant (∆-Max-ATSP) and an APX-hard relaxation (Max-3-DCC) of the classical traveling salesman problem. We present a 31 40-approximation algorithm for â...
Markus Bläser, L. Shankar Ram, Maxim Sviriden...
WADS
2007
Springer
189views Algorithms» more  WADS 2007»
13 years 11 months ago
35/44-Approximation for Asymmetric Maximum TSP with Triangle Inequality
We describe a new approximation algorithm for the asymmetric maximum traveling salesman problem (ATSP) with triangle inequality. Our algorithm achieves approximation factor 35/44 ...
Lukasz Kowalik, Marcin Mucha
TOC
2008
95views more  TOC 2008»
13 years 4 months ago
On the LP Relaxation of the Asymmetric Traveling Salesman Path Problem
: This is a comment on the article "An O(logn) Approximation Ratio for the Asymmetric Traveling Salesman Path Problem" by C. Chekuri and M. P
Viswanath Nagarajan