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An evolutionary model of social networks

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  • M. Ludwig
  • P. Abell

Abstract

Social networks in communities, markets, and societies self-organise through the interactions of many individuals. In this paper we use a well-known mechanism of social interactions — the balance of sentiment in triadic relations — to describe the development of social networks. Our model contrasts with many existing network models, in that people not only establish but also break up relations whilst the network evolves. The procedure generates several interesting network features such as a variety of degree distributions and degree correlations. The resulting network converges under certain conditions to a steady critical state where temporal disruptions in triangles follow a power-law distribution. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • M. Ludwig & P. Abell, 2007. "An evolutionary model of social networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 58(1), pages 97-105, July.
    • Handle: RePEc:spr:eurphb:v:58:y:2007:i:1:p:97-105
    DOI: 10.1140/epjb/e2007-00200-x
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    Cited by:

    1. Xiaolong Zheng & Daniel Zeng & Fei-Yue Wang, 2015. "Social balance in signed networks," Information Systems Frontiers, Springer, vol. 17(5), pages 1077-1095, October.
    2. Deng, Hongzhong & Qi, Mingze & Li, Mengjun & Ge, Bingfeng, 2021. "Limited cognitive adjustments in signed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).

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