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arXiv · 2603.14334

Better approximation guarantee for Asymmetric TSP

Jens Vygen
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Abstract

We improve the approximation ratio for the Asymmetric TSP to less than 15. We also obtain improved ratios for the special case of unweighted digraphs and the generalization where we ask for a minimum-cost tour with given (distinct) endpoints. Moreover, we prove better upper bounds on the integrality ratios of the natural LP relaxations.

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Jens Vygen. 2026-03-15. Better approximation guarantee for Asymmetric TSP. https://arxiv.org/abs/2603.14334

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