title: Correlation effects in a simple model of a small-world network.
abstract: We analyze the effect of correlations in a simple model of a 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.
authors.affiliation: Department of Physics, Sharif University of Technology, P.O. Box 11365-9161, Tehran, Iran. vahid@sharif.edu
authors.forename: V
authors.initials: V
authors.lastname: Karimipour
authors.forename: A
authors.initials: A
authors.lastname: Ramzanpour