Abstract
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.
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