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arXiv · 0705.1475

Statistical significance of rich-club phenomena in complex networks

Zhi-Qiang Jiang·Wei-Xing Zhou
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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.

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Zhi-Qiang Jiang, Wei-Xing Zhou. 2007-05-10. Statistical significance of rich-club phenomena in complex networks. https://doi.org/10.1088/1367-2630%2F10%2F4%2F043002

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