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APPROX
2008
Springer
14 years 27 days ago
2008
Springer
A long-standing conjecture in Combinatorial Optimization is that the integrality gap of the Held-Karp LP relaxation for the Asymmetric Traveling Salesman Problem (ATSP) is a consta...
TOC
2008
13 years 10 months ago
2008
: 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
SODA
2010
ACM
14 years 8 months ago
2010
ACM
We study integrality gaps and approximability of two closely related problems on directed graphs. Given a set V of n nodes in an underlying asymmetric metric and two specified nod...
IPCO
1992
14 years 1 days ago
1992
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 ...
NMA
2010
13 years 8 months ago
2010
One of the most important applications of the Asymmetric Hamiltonian Path Problem is in scheduling. In this paper we describe a variant of this problem, and develop both a mathemat...