arXiv:cond-mat/0012313 Abstract

arXiv:cond-mat/0012313Abstract References Reviews Resources

Correlation effects in a simple model of small-world network

Published 2000-12-17, updated 2004-10-14Version 3

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.

Comments: 10 pages, 3 figures

Journal: Phys. Rev. E 65, 036122 (2002)

DOI: 10.1103/PhysRevE.65.036122

Categories: cond-mat.dis-nn

Keywords: simple model, small-world network, correlation effects, small world network, transfer matrix technique

Tags: journal article

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