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The Centred Traveling Salesman at Finite Temperature

David Lancaster
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Abstract

A recently formulated statistical mechanics method is used to study the phase transition occurring in a generalisation of the Traveling Salesman Problem (TSP) known as the centred TSP. The method shows that the problem has clear signs of a crossover, but is only able to access (unscaled) finite temperatures above the transition point. The solution of the problem using this method displays a curious duality.

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David Lancaster. 2006-09-08. The Centred Traveling Salesman at Finite Temperature. https://arxiv.org/abs/cond-mat/0609203

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