English

Slightly Improved Upper Bound on the Integrality Ratio for the $s-t$ Path TSP

Data Structures and Algorithms 2020-07-27 v2 Discrete Mathematics Combinatorics

Abstract

In this paper we investigate the integrality ratio of the standard LP relaxation for the metric sts-t Path TSP. We make a near-optimal choice for an auxiliary function used in the analysis of Traub and Vygen which leads to an improved upper bound on the integrality ratio of 1.5273.

Cite

@article{arxiv.2004.07217,
  title  = {Slightly Improved Upper Bound on the Integrality Ratio for the $s-t$ Path TSP},
  author = {Xianghui Zhong},
  journal= {arXiv preprint arXiv:2004.07217},
  year   = {2020}
}
R2 v1 2026-06-23T14:52:37.937Z