Analytic Solution to Clustering Coefficients on Weighted Networks
Disordered Systems and Neural Networks
2011-02-03 v1 Statistical Mechanics
Physics and Society
Abstract
Clustering coefficient is an important topological feature of complex networks. It is, however, an open question to give out its analytic expression on weighted networks yet. Here we applied an extended mean-field approach to investigate clustering coefficients in the typical weighted networks proposed by Barrat, Barth\'elemy and Vespignani (BBV networks). We provide analytical solutions of this model and find that the local clustering in BBV networks depends on the node degree and strength. Our analysis is well in agreement with results of numerical simulations.
Keywords
Cite
@article{arxiv.0911.0476,
title = {Analytic Solution to Clustering Coefficients on Weighted Networks},
author = {Yichao Zhang and Zhongzhi Zhang and Jihong Guan and Shuigeng Zhou},
journal= {arXiv preprint arXiv:0911.0476},
year = {2011}
}
Comments
A paper with 9 pages, 3 figures