Traveling salesman problem and local search

Traveling salesman problem and local search

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Article ID: iaor19932427
Country: United Kingdom
Volume: 5
Start Page Number: 69
End Page Number: 71
Publication Date: Mar 1992
Journal: Applied Mathematics Letters
Authors: ,
Keywords: programming: integer, graphs
Abstract:

It has been shown that certain NP-complete problems, i.e., TSP, min cut, and graph partitioning, with specific notions of neighborhood, satisfy a simple difference equation. In this paper, the authros extend these results by proving that TSP with some notions of neighborhood satisfy such a difference equation. Furthermore, they derive some structural properties satisfied by the above-mentioned problem.

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