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Deterministic weighted scale-free small-world networks

Author

Listed:
  • Zhang, Yichao
  • Zhang, Zhongzhi
  • Zhou, Shuigeng
  • Guan, Jihong

Abstract

We propose a deterministic weighted scale-free small-world model for considering pseudofractal web with the co-evolution of topology and weight. Considering the fluctuations in traffic flow constitute a main reason for congestion of packet delivery and poor performance of communication networks, we suggest a recursive algorithm to generate the network, which restricts the traffic fluctuations on it effectively during the evolutionary process. We provide a relatively complete view of topological structure and weight dynamics characteristics of the networks such as weight and strength distribution, degree correlations, average clustering coefficient and degree-cluster correlations as well as the diameter.

Suggested Citation

  • Zhang, Yichao & Zhang, Zhongzhi & Zhou, Shuigeng & Guan, Jihong, 2010. "Deterministic weighted scale-free small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3316-3324.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:16:p:3316-3324
    DOI: 10.1016/j.physa.2010.04.003
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    Cited by:

    1. Sun, Lina & Huang, Ning & Li, Ruiying & Bai, Yanan, 2019. "A new fractal reliability model for networks with node fractal growth and no-loop," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 699-707.
    2. Wang, Jianrong & Wang, Jianping & Li, Lei & Yang, Bo, 2018. "A novel relay selection strategy based on deterministic small world model on CCN," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 559-568.

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