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arXiv · 1708.07217

A characterization of Linearizable instances of the Quadratic Traveling Salesman Problem

Abraham P. Punnen·Matthias Walter·Brad D. Woods
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Abstract

We consider the linearization problem associated with the quadratic traveling salesman problem (QTSP). Necessary and sufficient conditions are given for a cost matrix $Q$ of QTSP to be linearizable. It is shown that these conditions can be verified in $O(n^5)$ time. Some simpler sufficient conditions for linearization are also given along with related open problems.

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Abraham P. Punnen, Matthias Walter, Brad D. Woods. 2017-08-23. A characterization of Linearizable instances of the Quadratic Traveling Salesman Problem. https://arxiv.org/abs/1708.07217

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