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Time-cumulative scale-free networks without both growth and preferential attachment

Author

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  • Han, Xiao-Pu
  • Xie, Yan-Bo

Abstract

A model of nongrowing networks with time-cumulative scale-free (SF) property based on the apply–reply process is proposed in this paper. This model is not only without growth but also without a direct expression of preferential attachment. The network structure is evolved by the change of nodes’ active probability, which is mathematically equivalent to a special diffusion process. This model only allows zero or one edge connecting on a node at any moment, and the power-law degree distributions can be exhibited from the statistic of the network after a long time accumulation. Our results imply that both growth and direct preferential attachments are not necessary in the generation of the SF property.

Suggested Citation

  • Han, Xiao-Pu & Xie, Yan-Bo, 2007. "Time-cumulative scale-free networks without both growth and preferential attachment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 525-531.
    • Handle: RePEc:eee:phsmap:v:381:y:2007:i:c:p:525-531
    DOI: 10.1016/j.physa.2007.04.002
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    Cited by:

    1. Peng-Xiang Li & Meng-Wu Zhang & You-Min Xi & Wen-Tian Cui, 2009. "Why organizational networks in reality do not show scale-free distributions," Computational and Mathematical Organization Theory, Springer, vol. 15(3), pages 169-190, September.

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