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Random networks with given rich-club coefficient

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  • R. Mondragón
  • S. Zhou

Abstract

In complex networks it is common to model a network or generate a surrogate network based on the conservation of the number of connections of individual nodes. In this paper we analyse the ensemble of random networks that are defined by the conservation of the rich-club coefficient, which measures the density of connections among a group of nodes. We also present a method to generate such surrogate networks for a given network. We show that by choosing a suitable local linking term, the random networks not only preserve the rich-club coefficient but also closely approximate the degree distribution and the mixing pattern of real networks. Our work provides a different and complementary perspective to the network randomisation problem. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Suggested Citation

  • R. Mondragón & S. Zhou, 2012. "Random networks with given rich-club coefficient," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(9), pages 1-6, September.
    • Handle: RePEc:spr:eurphb:v:85:y:2012:i:9:p:1-6:10.1140/epjb/e2012-21026-3
    DOI: 10.1140/epjb/e2012-21026-3
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    Cited by:

    1. Cinelli, Matteo & Ferraro, Giovanna & Iovanella, Antonio, 2018. "Rich-club ordering and the dyadic effect: Two interrelated phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 808-818.
    2. Matteo Cinelli & Giovanna Ferraro & Antonio Iovanella, 2017. "Resilience of Core-Periphery Networks in the Case of Rich-Club," Complexity, Hindawi, vol. 2017, pages 1-12, December.

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    Keywords

    Statistical and Nonlinear Physics;

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