Abstract
We describe a new approximation algorithm for the asymmetric maximum traveling salesman problem (ATSP) with triangle inequality. Our algorithm achieves approximation factor 35/44 which improves on the previous 31/40 factor of Bläser, Ram and Sviridenko (Lecture Notes in Computer Science, vol. 3122, pp. 350–359, 2005).
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Part of this work was done while both authors were staying at the Max Planck Institute in Saarbruecken, Germany. This research is partially supported by a grant from the Polish Ministry of Science and Higher Education, project N206 005 32/0807. A preliminary version of this paper appeared in Proc. 10th International Workshop on Algorithms and Data Structures (WADS 2007), LNCS 4619, 2007, pp. 589–600.
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Kowalik, L., Mucha, M. 35/44-approximation for Asymmetric Maximum TSP with Triangle Inequality. Algorithmica 59, 240–255 (2011). https://doi.org/10.1007/s00453-009-9306-3
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DOI: https://doi.org/10.1007/s00453-009-9306-3