The (degree-) Kirchhoff indices in random polygonal chains
The (degree-) Kirchhoff indices in random polygonal chains
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DOI：
10.1016/j.dam.2021.06.020
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发表时间：
2021-12
期刊：
影响因子：
--
通讯作者：
Jiajian Li;Weizhong Wang
中科院分区：
文献类型：
--
作者：
Jiajian Li;Weizhong Wang
本文通过求解一个差分方程，给出了随机多边形链的Kirchhoff指标、乘性度Kirchhoff指标和加性度Kirchhoff指标的期望值的显式解析表达式。同时，得到了这三个指标相对于n个多边形的多边形链的平均值和方差。此外，我们还比较了随机多边形链中Wiener指标和Kirchhoff指标的期望值、平均值和方差，并分析了它们之间的相关系数。所得结果推广了该领域的相应结论。
In this paper, the explicit analytical expressions for the expected values of the Kirchhoff index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index in random polygonal chains are established by solving a difference equation. Meanwhile, the average values and variance of these three indices with respect to the set of all polygonal chains with n polygons are obtained. Moreover, we compare the expected values, average values, and the variance between the Wiener index and the Kirchhoff index in random polygonal chains, and analyze their correlation coefficient. The results obtained here generalize the corresponding conclusions in this field.