Distance distribution in configuration model networks
Disordered Systems and Neural Networks
2016-06-16 v2 Statistical Mechanics
Abstract
We present analytical results for the distribution of shortest path lengths between random pairs of nodes in configuration model networks. The results, which are based on recursion equations, are shown to be in good agreement with numerical simulations for networks with degenerate, binomial and power-law degree distributions. The mean, mode and variance of the distribution of shortest path lengths are also evaluated. These results provide expressions for central measures and dispersion measures of the distribution of shortest path lengths in terms of moments of the degree distribution, illuminating the connection between the two distributions.
Cite
@article{arxiv.1603.04473,
title = {Distance distribution in configuration model networks},
author = {Mor Nitzan and Eytan Katzav and Reimer Kühn and Ofer Biham},
journal= {arXiv preprint arXiv:1603.04473},
year = {2016}
}
Comments
28 pages, 7 figures. Accepted for publication in Phys. Rev. E