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Exact solutions for network rewiring models

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  • T. S. Evans

Abstract

Evolving networks with a constant number of edges may be modelled using a rewiring process. These models are used to describe many real-world processes including the evolution of cultural artifacts such as family names, the evolution of gene variations, and the popularity of strategies in simple econophysics models such as the minority game. The model is closely related to Urn models used for glasses, quantum gravity and wealth distributions. The full mean field equation for the degree distribution is found and its exact solution and generating solution are given. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

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  • T. S. Evans, 2007. "Exact solutions for network rewiring models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(1), pages 65-69, March.
    • Handle: RePEc:spr:eurphb:v:56:y:2007:i:1:p:65-69
    DOI: 10.1140/epjb/e2007-00084-8
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    Cited by:

    1. Sebastian M Krause & Tiago P Peixoto & Stefan Bornholdt, 2013. "Spontaneous Centralization of Control in a Network of Company Ownerships," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-6, December.
    2. Bentley, R. Alexander & Madsen, Mark E. & Ormerod, Paul, 2009. "Physical space and long-tail markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(5), pages 691-696.
    3. Safaei, F. & Yeganloo, H. & Akbar, R., 2020. "Robustness on topology reconfiguration of complex networks: An entropic approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 170(C), pages 379-409.
    4. Colman, E.R. & Rodgers, G.J., 2014. "Local rewiring rules for evolving complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 80-89.
    5. Damian Ruck & R. Alexander Bentley & Alberto Acerbi & Philip Garnett & Daniel J. Hruschka, 2017. "Role Of Neutral Evolution In Word Turnover During Centuries Of English Word Popularity," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 20(06n07), pages 1-16, September.
    6. Lambiotte, R. & Ausloos, M. & Thelwall, M., 2007. "Word statistics in Blogs and RSS feeds: Towards empirical universal evidence," Journal of Informetrics, Elsevier, vol. 1(4), pages 277-286.

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