Statistical significance of rich-club phenomena in complex networks
Physics and Society
2008-04-05 v1
Abstract
We propose that the rich-club phenomena in complex networks should be defined in the spirit of bootstrapping, in which a null model is adopted to assess the statistical significance of the rich-club detected. Our method can be served as a definition of rich-club phenomenon and is applied to analyzing three real networks and three model networks. The results improve significantly compared with previously reported results. We report a dilemma with an exceptional example, showing that there does not exist an omnipotent definition for the rich-club phenomenon.
Keywords
Cite
@article{arxiv.0705.1475,
title = {Statistical significance of rich-club phenomena in complex networks},
author = {Zhi-Qiang Jiang and Wei-Xing Zhou},
journal= {arXiv preprint arXiv:0705.1475},
year = {2008}
}
Comments
3 Revtex pages + 5 figures