English

Fluctuations in the Site Disordered Traveling Salesman Problem

Disordered Systems and Neural Networks 2009-11-13 v1

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.

Cite

@article{arxiv.0708.3346,
  title  = {Fluctuations in the Site Disordered Traveling Salesman Problem},
  author = {David S. Dean and David Lancaster},
  journal= {arXiv preprint arXiv:0708.3346},
  year   = {2009}
}

Comments

17 pages, 3 eps figures, revtex

R2 v1 2026-06-21T09:10:22.549Z