Mean-field theory for clustering coefficients in Barabási-Albert networks

Agata Fronczak¹, Piotr Fronczak, Janusz A Hołyst

¹Faculty of Physics and Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|December 20, 2003

Abstract:

We applied a mean-field approach to study clustering coefficients in Barabási-Albert (BA) networks. We found that the local clustering in BA networks depends on the node degree. Analytic results have been compared to extensive numerical simulations finding a very good agreement for nodes with low degrees. Clustering coefficient of a whole network calculated from our approach perfectly fits numerical data.

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Abstract:

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