Structural transitions in scale-free networks

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Abstract

Real growing networks such as the World Wide Web or personal connection based networks are characterized by a high degree of clustering, in addition to the small-world property and the absence of a characteristic scale. Appropriate modifications of the (Barabási-Albert) preferential attachment network growth capture all these aspects. We present a scaling theory to describe the behavior of the generalized models and the mean-field rate equation for clustering. This is solved for a specific case with the result C(k)∼1/k for the clustering of a node of degree k. This mean-field exponent agrees with simulations, and reproduces the clustering of many real networks.

Details

Original languageEnglish
Article number056102
Pages (from-to)1-5
JournalPhysical Review E
Volume67
Issue number5
Publication statusPublished - 2003
MoE publication typeA1 Journal article-refereed

    Research areas

  • power-laws, scale-free networks

ID: 3569524