Zhi-Qiang Jiang and Wei-Xing Zhou 2008 New J. Phys. 10 043002 doi:10.1088/1367-2630/10/4/043002
Statistical significance of the rich-club phenomenon in complex networks
Zhi-Qiang Jiang1,2 and Wei-Xing Zhou1,2,3,4,5
Show affiliationsWe propose that the rich-club phenomenon 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 serve as a definition of the rich-club phenomenon and is applied to analyze three real networks and three model networks. The results show significant improvement 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.
- PACS
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89.75.Hc Networks and genealogical trees
02.50.-r Probability theory, stochastic processes, and statistics
- Subjects
- Dates
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Issue 4 (April 2008)
Received 11 December 2007
Published 4 April 2008
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Statistical significance of the rich-club phenomenon in complex networks
Zhi-Qiang Jiang and Wei-Xing Zhou 2008 New J. Phys. 10 043002
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