Expected Value of Multiplicative Degree-Kirchhoff Index in Random Polygonal Chains

Xinmei Liu; Xinfeng Liang; Xianya Geng; Xinmei Liu; Xinfeng Liang; Xianya Geng

doi:10.3934/mbe.2023032

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 1: 707-719. doi: 10.3934/mbe.2023032

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Expected Value of Multiplicative Degree-Kirchhoff Index in Random Polygonal Chains

School of mathematics and big data, Anhui University of Science and Technology, 232001 Huainan, China

Received: 22 August 2022 Revised: 28 September 2022 Accepted: 09 October 2022 Published: 13 October 2022

The multiplicative degree-Kirchhoff index is a significant topological index. This paper is devoted to the exact formulas for the expected value of the multiplicative degree-Kirchhoff index in random polygonal chains. Moreover, on the basis of the result above, the multiplicative degree-Kirchhoff index of all polygonal chains with extremal values and average values are obtained.
- random polygonal chain,
- expected value,
- multiplicative degree-Kirchhoff index
Citation: Xinmei Liu, Xinfeng Liang, Xianya Geng. Expected Value of Multiplicative Degree-Kirchhoff Index in Random Polygonal Chains[J]. Mathematical Biosciences and Engineering, 2023, 20(1): 707-719. doi: 10.3934/mbe.2023032

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Abstract

The multiplicative degree-Kirchhoff index is a significant topological index. This paper is devoted to the exact formulas for the expected value of the multiplicative degree-Kirchhoff index in random polygonal chains. Moreover, on the basis of the result above, the multiplicative degree-Kirchhoff index of all polygonal chains with extremal values and average values are obtained.

References

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