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On the Integrality Ratio of the Subtour LP for Euclidean TSP
Published 24 Feb 2014 in cs.DM, cs.DS, and math.CO | (1402.5904v3)
Abstract: A long standing conjecture says that the integrality ratio of the subtour LP for metric TSP is $4/3$. A well known family of graphic TSP instances achieves this lower bound asymptotically. For Euclidean TSP the best known lower bound on the integrality ratio was $8/7$. We improve this value by presenting a family of Euclidean TSP instances for which the integrality ratio of the subtour LP converges to 4/3.
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