Correlation effects in a simple model of a small-world network

¹Department of Physics, Sharif University of Technology, P.O. Box 11365-9161, Tehran, Iran. vahid@sharif.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 23, 2002

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.

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Abstract:

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