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Average geodesic distance on stretched Sierpiński gasket

Author

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  • Li, Yuanyuan
  • Fan, jiaqi
  • Xi, lifeng

Abstract

The stretched Sierpiński gasket is a local self-similar set, but not strictly self-similar. By the local self-similarity of scale and measure, we calculate its average geodesic distance within the gasket by the method of finite pattern.

Suggested Citation

  • Li, Yuanyuan & Fan, jiaqi & Xi, lifeng, 2021. "Average geodesic distance on stretched Sierpiński gasket," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004744
    DOI: 10.1016/j.chaos.2021.111120
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    References listed on IDEAS

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    1. Jon M. Kleinberg, 2000. "Navigation in a small world," Nature, Nature, vol. 406(6798), pages 845-845, August.
    2. Chaoming Song & Shlomo Havlin & Hernán A. Makse, 2005. "Self-similarity of complex networks," Nature, Nature, vol. 433(7024), pages 392-395, January.
    3. Yang, Jinjin & Wang, Songjing & Xi, Lifeng & Ye, Yongchao, 2018. "Average geodesic distance of skeleton networks of Sierpinski tetrahedron," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 269-277.
    4. Deng, Juan & Ye, Qianqian & Wang, Qin, 2019. "Weighted average geodesic distance of Vicsek network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
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    Cited by:

    1. Lu, Ying & Xu, Jiajun & Xi, Lifeng, 2023. "Fractal version of hyper-Wiener index," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Victoria Stack & Lana L. Narine, 2022. "Sustainability at Auburn University: Assessing Rooftop Solar Energy Potential for Electricity Generation with Remote Sensing and GIS in a Southern US Campus," Sustainability, MDPI, vol. 14(2), pages 1-14, January.

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