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

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

Journal of Mathematics, 2022, vol. 2022, 1-9

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1670984

DOI: 10.1155/2022/1670984

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