Emergent Mind

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

(2004.07217)
Published Apr 15, 2020 in cs.DS , cs.DM , and math.CO

Abstract

In this paper we investigate the integrality ratio of the standard LP relaxation for the metric $s-t$ 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.

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