论文标题
Gutman指数，Schultz索引，乘法度 - Kirchhoff指数和添加度kirchhoff指数的期望值和限制行为
The expected values and limiting behaviours for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-kirchhoff index of a random cyclooctane chain
论文作者
论文摘要
在本文中，我们首先为随机环销链COCN引入了Gutman和Schultz指数的预期值的显式分析公式。同时，确定了随机环销链的古特曼和舒尔茨指数方差的显式公式，我们证明这两个指数渐近地遭受正态分布。此外，我们很惊讶地发现基于其他人论文的已知结果，发现KF*（COCN）和KF+（COCN）的方差，并且它们渐近地呈正态分布。
In this paper, we first introduce the explicit analytical formulas for the expected values of the Gutman and Schultz indices for a random cyclooctane chain COCn. Meanwhile, the explicit formulas of the variances of the Gutman and Schultz indices for a random cyclooctane chain are determined and we prove these two indices are asymptotically subject to normal distribution. Furthermore, we are surprised to find the variances of Kf*(COCn) and Kf+(COCn) for a random cyclooctane chain based on the known results of others' paper and they are asymptotically subject to normal distribution.
