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

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...

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Veröffentlicht in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2002-03, Vol.65 (3 Pt 2A), p.036122-036122, Article 036122
Hauptverfasser: Karimipour, V, Ramzanpour, A
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container_issue 3 Pt 2A
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container_title Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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creator Karimipour, V
Ramzanpour, A
description 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.
doi_str_mv 10.1103/PhysRevE.65.036122
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title Correlation effects in a simple model of a small-world network
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