Correlation effects in a simple model of small-world network

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

2000-12-17

arxiv.org/abs/cond-mat/0012313v3

Phys. Rev. E 65, 036122 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 3 figures

Scientific paper

10.1103/PhysRevE.65.036122

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.

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