English

Correlation effects in a simple model of small-world network

Disordered Systems and Neural Networks 2009-10-31 v3

Abstract

We analyze the effect of correlations in a simple model of small world network by obtaining exact analytical expressions for the distribution of shortest paths in the network. We enter correlations into a simple model with a distinguished site, by taking the random connections to this site from an Ising distribution. Our method shows how the transfer matrix technique can be used in the new context of small world networks.

Keywords

Cite

@article{arxiv.cond-mat/0012313,
  title  = {Correlation effects in a simple model of small-world network},
  author = {V. Karimipour and A. Ramezanpour},
  journal= {arXiv preprint arXiv:cond-mat/0012313},
  year   = {2009}
}

Comments

10 pages, 3 figures

R2 v1 2026-07-22T10:14:10.193Z