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On the integrality ratio for asymmetric TSP

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3 Author(s)
M. Charikar ; Dept. of Comput. Sci., Princeton Univ., NJ, USA ; M. X. Goemans ; H. Karloff

The traveling salesman problem comes in two variants. The symmetric version (STSP) assumes that the cost cij of going to city i to city j is equal to cji, while the more general asymmetric version (ATSP) does not make this assumption. In both cases, it is usually assumed that we are in the metric case, i.e., the costs satisfy the triangle inequality: cij + cjk ≥ cik for all i, j, k. In this assumption, we improve the lower bound on the integrality ratio of the Held-Karp bound for asymmetric TSP (with triangle inequality) from 4/3 to 2.

Published in:

Foundations of Computer Science, 2004. Proceedings. 45th Annual IEEE Symposium on

Date of Conference:

17-19 Oct. 2004