English

The Euclidean travelling salesman problem: Frequency distribution of neighbours for small-size systems

Statistical Mechanics 2009-11-07 v1

Abstract

We have studied numerically the frequency distribution ρ(n)\rho (n) of the n-th neighbour along the optimal tour in the Euclidean travelling salesman problem for N cities, in dimensions d=2 and d=3. We find there is no significant dependence of ρ(n)\rho (n) on either the number of cities N or the dimension d.

Keywords

Cite

@article{arxiv.cond-mat/0106429,
  title  = {The Euclidean travelling salesman problem: Frequency distribution of neighbours for small-size systems},
  author = {Anirban Chakraborti},
  journal= {arXiv preprint arXiv:cond-mat/0106429},
  year   = {2009}
}

Comments

6 pages, 3 figures. To be published in Int. J. Mod. Phys. C