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The Wiener index of Sierpiński-like graphs

Author

Listed:
  • Chunmei Luo

    (Tianjin Normal University)

  • Liancui Zuo

    (Tianjin Normal University)

  • Philip B. Zhang

    (Tianjin Normal University)

Abstract

Sierpiński-like graphs constitute an extensively studied family of graphs of fractal nature applicable in topology, mathematics of the Tower of Hanoi, computer science, and elsewhere. In this paper, we focus on the Wiener polarity index, Wiener index and Harary index of Sierpiński-like graphs. By Sierpiński-like graphs’ special structure and correlation, their Wiener polarity index and some Sierpiński-like graph’s Wiener index and Harary index are obtained.

Suggested Citation

  • Chunmei Luo & Liancui Zuo & Philip B. Zhang, 2018. "The Wiener index of Sierpiński-like graphs," Journal of Combinatorial Optimization, Springer, vol. 35(3), pages 814-841, April.
    • Handle: RePEc:spr:jcomop:v:35:y:2018:i:3:d:10.1007_s10878-017-0235-9
    DOI: 10.1007/s10878-017-0235-9
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    References listed on IDEAS

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    1. Luo, Chunmei & Zuo, Liancui, 2017. "Metric properties of Sierpin´ski-like graphs," Applied Mathematics and Computation, Elsevier, vol. 296(C), pages 124-136.
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    Cited by:

    1. Xiangxiang Liu & Ligong Wang & Xihe Li, 2020. "The Wiener index of hypergraphs," Journal of Combinatorial Optimization, Springer, vol. 39(2), pages 351-364, February.

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