Correlation effects in a simple model of small-world network

Preprint

14 October 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0012313

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

SMALL WORLD NETWORK
ENTER CORRELATIONS
ISING DISTRIBUTION
EXACT ANALYTICAL
TRANSFER MATRIX
OBTAINING EXACT
MODEL OF SMALL
WORLD NETWORK
SIMPLE MODEL

All Related Versions

Version 1, 2000-12-17, ArXiv
Version 2, 2001-01-04, ArXiv
Version 3, 2004-10-14, ArXiv
Published version: Physical Review E, 65 (3), 036122.

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