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The (Multiplicative Degree-) Kirchhoff Index of Graphs Derived from the Cartesian Product of Sn and K2

Author

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  • Jia-Bao Liu
  • Xin-Bei Peng
  • Jiao-Jiao Gu
  • Wenshui Lin
  • A. Ghareeb

Abstract

It is well known that many topological indices have widespread use in lots of fields about scientific research, and the Kirchhoff index plays a major role in many different sectors over the years. Recently, Li et al. (Appl. Math. Comput. 382 (2020) 125335) proposed the problem of determining the Kirchhoff index and multiplicative degree-Kirchhoff index of graphs derived from Sn×K2, the Cartesian product of the star Sn, and the complete graph K2. In the present study, we completely solve this problem, that is, the explicit closed-form formulae of the Kirchhoff index, multiplicative degree-Kirchhoff index, and number of spanning trees are obtained for some graphs derived from Sn×K2.

Suggested Citation

  • Jia-Bao Liu & Xin-Bei Peng & Jiao-Jiao Gu & Wenshui Lin & A. Ghareeb, 2022. "The (Multiplicative Degree-) Kirchhoff Index of Graphs Derived from the Cartesian Product of Sn and K2," Journal of Mathematics, Hindawi, vol. 2022, pages 1-9, February.
    • Handle: RePEc:hin:jjmath:1670984
    DOI: 10.1155/2022/1670984
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