Statistical significance of rich-club phenomena in complex networks

Details Statistical significance of rich-club phenomena in complex networks Statistical significance of rich-club phenomena in complex networks

2007-05-10

arxiv.org/abs/0705.1475v1

New Journal of Physics 10 (4), 043002 (2008)

Physics

Physics and Society

3 Revtex pages + 5 figures

Scientific paper

10.1088/1367-2630/10/4/043002

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.

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