Fluctuations in the site-disordered traveling salesman problem

Dean, D.S. and Lancaster, D.J. 2007. Fluctuations in the site-disordered traveling salesman problem. Journal of Physics A: Mathematical and Theoretical. 40 (46), pp. 13837-13857.

TitleFluctuations in the site-disordered traveling salesman problem
AuthorsDean, D.S. and Lancaster, D.J.
Abstract

We extend a previous statistical mechanical treatment of the traveling salesman problem by defining a discrete 'site-disordered' problem in which fluctuations about saddle points can be computed. The results clarify the basis of our original treatment, and illuminate but do not resolve the difficulties of taking the zero-temperature limit to obtain minimal path lengths.

JournalJournal of Physics A: Mathematical and Theoretical
Journal citation40 (46), pp. 13837-13857
ISSN1751-8113
YearNov 2007
Digital Object Identifier (DOI)doi:10.1088/1751-8113/40/46/002
Publication dates
PublishedNov 2007

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