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Scale-free effect of substitution networks

Author

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  • Li, Ziyu
  • Yu, Zhouyu
  • Xi, Lifeng

Abstract

In this paper, we construct the growing networks in terms of substitution rule. Roughly speaking, we replace edges of different colors with different initial graphs. Then the evolving networks are constructed. We obtained the free-scale effect of our substitution networks.

Suggested Citation

  • Li, Ziyu & Yu, Zhouyu & Xi, Lifeng, 2018. "Scale-free effect of substitution networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1449-1455.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:1449-1455
    DOI: 10.1016/j.physa.2017.11.072
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    Cited by:

    1. Dai, Lingfei & Dai, Meifeng & Huang, Yu & Li, Yin & Shen, Junjie & Chi, Huijia & Su, Weiyi, 2020. "Searching efficiency of multiple walkers on the weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    2. Dai, Meifeng & Feng, Wenjing & Wu, Xianbin & Chi, Huijia & Li, Peng & Su, Weiyi, 2019. "The Laplacian spectrum and average trapping time for weighted Dyson hierarchical network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 510-518.
    3. Yao, Jialing & Sun, Bingbin & Xi, lifeng, 2019. "Fractality of evolving self-similar networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 211-216.
    4. Li, Ziyu & Yao, Jialing & Wang, Qin, 2019. "Fractality of multiple colored substitution networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 402-408.

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