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Weighted scale-free networks induced by group preferential mechanism

Author

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  • Tong, Jinying
  • Zhang, Zhenzhong
  • Dai, Rongrong

Abstract

Based on the BBV model [A. Barrat, M. Barthelemy, A. Vespignani, Phys. Rev. Lett. 92 (22) (2004)], we propose a weighted group preferential model, which is generated by the group preferential mechanism. We derive analytically the various statistical properties, such as the distribution of degree, strength and weight, the degree-strength relationship. Finally, we provide a contrast with the BBV model on the synchronization robustness and fragility through numerical simulation.

Suggested Citation

  • Tong, Jinying & Zhang, Zhenzhong & Dai, Rongrong, 2011. "Weighted scale-free networks induced by group preferential mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(10), pages 1826-1833.
  • Handle: RePEc:eee:phsmap:v:390:y:2011:i:10:p:1826-1833
    DOI: 10.1016/j.physa.2010.12.024
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    Cited by:

    1. Rui, Yikang & Ban, Yifang, 2012. "Nonlinear growth in weighted networks with neighborhood preferential attachment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4790-4797.
    2. 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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