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Metric properties of Sierpin´ski-like graphs

Author

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  • Luo, Chunmei
  • Zuo, Liancui

Abstract

Sierpin´ski-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, some indexes related to degree of the Sierpin´ski-like graphs have been researched. Using special structure and correlation of Sierpin´ski-like graphs, the radii, Randic´ index, Zagreb index, sum-connectivity index and metric dimension of some Sierpin´ski-like graphs are obtained.

Suggested Citation

  • Luo, Chunmei & Zuo, Liancui, 2017. "Metric properties of Sierpin´ski-like graphs," Applied Mathematics and Computation, Elsevier, vol. 296(C), pages 124-136.
    • Handle: RePEc:eee:apmaco:v:296:y:2017:i:c:p:124-136
    DOI: 10.1016/j.amc.2016.10.020
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    Cited by:

    1. 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.
    2. Deng, Xingchao & Shao, Zhiwei & Zhang, Huan & Yang, Weihua, 2019. "The (d, 1)-total labelling of Sierpin´ski-like graphs," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 484-492.

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