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The traveling salesman problem and its analogy with two-dimensional spin glasses

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Abstract

The low-temperature regime of the Euclidean traveling salesman problem is studied numerically. The specific heat behavior is analyzed in terms of the number of cities and compared with that of spin-glasses. A properly defined order parameter shows the existence of freezing effects at low temperature. The Euclidean TSP behaves as a spin glass in two dimensions.

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Authors and Affiliations

  1. Centro Atomico Bariloche (Comision Nacional de Energia Atomica) and Instituto Balseiro (Comision Nacional de Energia Atomica and Universidad Nacional de Cuyo), 8400, Bariloche, Argentina

    S. Bacci & E. N. Miranda

Authors
  1. S. Bacci
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  2. E. N. Miranda
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Bacci, S., Miranda, E.N. The traveling salesman problem and its analogy with two-dimensional spin glasses. J Stat Phys 56, 547–551 (1989). https://doi.org/10.1007/BF01044452

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  • DOI: https://doi.org/10.1007/BF01044452

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