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

23 October 2003

journal article
research article
Published by American Physical Society (APS) in Physical Review E

Vol. 68 (4) , 046126
https://doi.org/10.1103/physreve.68.046126

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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Version 1, 2003-06-10, ArXiv

This publication has 10 references indexed in Scilit:

Structural transitions in scale-free networks
Physical Review E, 2003
Number of Loops of Size $h$ in Growing Scale-Free Networks
Physical Review Letters, 2003
Hierarchical organization in complex networks
Physical Review E, 2003
Scale-Free Networks Are Ultrasmall
Physical Review Letters, 2003
Higher order clustering coefficients in Barabási–Albert networks
Physica A: Statistical Mechanics and its Applications, 2002
Growing scale-free networks with small-world behavior
Physical Review E, 2002
Statistical mechanics of complex networks
Reviews of Modern Physics, 2002
Emergence of Scaling in Random Networks
Science, 1999
Mean-field theory for scale-free random networks
Physica A: Statistical Mechanics and its Applications, 1999
Collective dynamics of ‘small-world’ networks
Nature, 1998