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2008
95views more  TOC 2008»
14 years 11 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
DISOPT
2006
110views more  DISOPT 2006»
14 years 11 months ago
New facets of the STS polytope generated from known facets of the ATS polytope
While it was known for a long time how to transform an asymmetric traveling salesman problem on the complete graph with n vertices into a symmetric traveling salesman problem on a...
Egon Balas, Robert Carr, Matteo Fischetti, Neil Si...
WADS
2007
Springer
189views Algorithms» more  WADS 2007»
15 years 5 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
SODA
2010
ACM
168views Algorithms» more  SODA 2010»
15 years 9 months ago
An O(log n/log log n)-approximation algorithm for the asymmetric traveling salesman problem
We consider the Asymmetric Traveling Salesman problem for costs satisfying the triangle inequality. We derive a randomized algorithm which delivers a solution within a factor O(lo...
Arash Asadpour, Michel X. Goemans, Aleksander Madr...
IPCO
1992
115views Optimization» more  IPCO 1992»
15 years 24 days ago
When is the Assignment Bound Tight for the Asymmetric Traveling Salesman Problem?
We consider the probabilistic relationship between the value of a random asymmetric traveling salesman problem ATSP(M) and the value of its assignment relaxation AP(M). We assume ...
Alan M. Frieze, Richard M. Karp, Bruce A. Reed