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Fractal version of hyper-Wiener index

Author

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  • Lu, Ying
  • Xu, Jiajun
  • Xi, Lifeng

Abstract

We propose the Fractal version of the hyper-Wiener index and we calculate the hyper-Wiener index on the Sierpiński gasket, a classical self-similar fractal, by developing the notion of pattern introduced by S. Wang et al (2017).

Suggested Citation

  • Lu, Ying & Xu, Jiajun & Xi, Lifeng, 2023. "Fractal version of hyper-Wiener index," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    • Handle: RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922011523
    DOI: 10.1016/j.chaos.2022.112973
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    References listed on IDEAS

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    1. Bing Zhao & Jiaqi Fan & Lifeng Xi, 2021. "Average Distances Of Lindstrã–M Snowflake Networks," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-15, May.
    2. Zhang, Qian & Xue, Yumei & Wang, Daohua & Niu, Min, 2019. "Asymptotic formula on average path length in a hierarchical scale-free network with fractal structure," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 196-201.
    3. 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).
    4. Cheng Zeng & Yuke Huang & Yumei Xue, 2022. "Average Geodesic Distance Of Sierpiåƒski-Type Networks," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(04), pages 1-8, June.
    5. Dechao Tian & Kwok Pui Choi, 2013. "Sharp Bounds and Normalization of Wiener-Type Indices," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-9, November.
    6. Yan Liu & Meifeng Dai & Yuanyuan Guo, 2022. "Weight-Dependent Walks And Average Shortest Weighted Path On The Weighted Iterated Friendship Graphs," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(06), pages 1-14, September.
    7. 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.
    8. 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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