Statistical significance of the rich-club phenomenon in complex networks

2007/05/10 by Zhi‐Qiang Jiang, Zhi-Qiang Jiang, Wei‐Xing Zhou +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · Medicine · Physics and Astronomy · #Bootstrapping (finance) #Club #Combinatorics #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Computer science #Data mining #Dilemma #Econometrics #Economics #Epistemology #Mathematics #Medicine #Null (SQL) #Null model #Opinion Dynamics and Social Influence #Phenomenon #Philosophy #Physics #Quantum mechanics #Statistical physics #physics.soc-ph

paper · pdf · doi:10.1088/1367-2630/10/4/043002

published as New Journal of Physics 10 (4), 043002 (2008) · 3 Revtex pages + 5 figures

arxiv created 2007/05/10 · openalex publication_date 2008/04/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We 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.

Citations

• Exploring self-similarity of complex cellular networks: The edge-covering method with simulated annealing and log-periodic sampling
• Dynamical and Correlation Properties of the Internet
• Emergence of scaling in random networks
• Mass Diffusion Coefficient Of Desiccants For Dehumdification Applications: Silica Aerogels And Silica Aerogel Coatings On Metal Foams
• Critical market crashes
• Chinese Internet AS-level topology
• Statistical mechanics of complex networks
• The Structure and Function of Complex Networks
• The Rich-Club Phenomenon in the Internet Topology
• Discrete hierarchical organization of social group sizes
• On power-law relationships of the Internet topology
• From the Cover: The structure of scientific collaboration networks

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