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Average geodesic distance of skeleton networks of Sierpinski tetrahedron

Author

Listed:
  • Yang, Jinjin
  • Wang, Songjing
  • Xi, Lifeng
  • Ye, Yongchao

Abstract

The average distance is concerned in the research of complex networks and is related to Wiener sum which is a topological invariant in chemical graph theory. In this paper, we study the skeleton networks of the Sierpinski tetrahedron, an important self-similar fractal, and obtain their asymptotic formula for average distances. To provide the formula, we develop some technique named finite patterns of integral of geodesic distance on self-similar measure for the Sierpinski tetrahedron.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:495:y:2018:i:c:p:269-277
    DOI: 10.1016/j.physa.2017.12.051
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    References listed on IDEAS

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    1. Xi, Lifeng & Wang, Lihong & Wang, Songjing & Yu, Zhouyu & Wang, Qin, 2017. "Fractality and scale-free effect of a class of self-similar networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 478(C), pages 31-40.
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    Cited by:

    1. Niu, Min & Song, Shuaishuai, 2018. "Scaling of average weighted shortest path and average receiving time on the weighted Cayley networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 707-717.
    2. Lu, Ying & Xu, Jiajun & Xi, Lifeng, 2023. "Fractal version of hyper-Wiener index," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    3. Dai, Meifeng & Dai, Changxi & Ju, Tingting & Shen, Junjie & Sun, Yu & Su, Weiyi, 2019. "Mean first-passage times for two biased walks on the weighted rose networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 268-278.
    4. Li, Yuanyuan & Fan, jiaqi & Xi, lifeng, 2021. "Average geodesic distance on stretched Sierpiński gasket," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

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