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The emergence of scale-free networks with a seceding mechanism

Author

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  • Geng, Xian-Min
  • Wen, Guang-Hui
  • Wan, Shu-Chen
  • Xiong, Jie-Yu
  • Wang, Ying

Abstract

In order to explore further the underlying mechanism of scale-free networks, we study stochastic secession as a mechanism for the creation of complex networks. In this evolution the network growth incorporates the addition of new nodes, the addition of new links between existing nodes, the deleting and rewiring of some existing links, and the stochastic secession of nodes. To random growing networks with preferential attachment, the model yields scale-free behavior for the degree distribution. Furthermore, we obtain an analytical expression of the power-law degree distribution with scaling exponent γ ranging from 1.1 to 9. The analytical expressions are in good agreement with the numerical simulation results.

Suggested Citation

  • Geng, Xian-Min & Wen, Guang-Hui & Wan, Shu-Chen & Xiong, Jie-Yu & Wang, Ying, 2009. "The emergence of scale-free networks with a seceding mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4484-4490.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:20:p:4484-4490
    DOI: 10.1016/j.physa.2009.06.052
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    Cited by:

    1. Pi, Xiaochen & Tang, Longkun & Chen, Xiangzhong, 2021. "A directed weighted scale-free network model with an adaptive evolution mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

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