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

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

2001-06-21

arxiv.org/abs/cond-mat/0106429v1

Int. J. Mod. Phys. C 12, 857 (2001)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1142/S0129183101002048

We have studied numerically the frequency distribution $\rho (n)$ 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 $\rho (n)$ on either the number of cities N or the dimension d.

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