The limiting behaviours for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain

被引：13

作者：

Zhang, Jinlian ^{[1
]}

Peng, Xuhui ^{[2
]}

Chen, Hanlin ^{[3
]}

机构：

[1] Hunan Univ Finance & Econ, Sch Math & Stat, Changsha, Peoples R China

[2] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha, Hunan, Peoples R China

[3] Changsha Univ, Coll Comp Engn & Appl Math, Changsha, Peoples R China

来源：

DISCRETE APPLIED MATHEMATICS | 2021年 / 299卷 / 299期

关键词：

Random polyphenylene chain; Gutman index; Schultz index; Multiplicative degree-Kirchhoff index; Additive degree-Kirchhoff index; Normal distribution; WIENER INDEXES; RESISTANCE DISTANCE; EXPECTED VALUES;

D O I：

10.1016/j.dam.2021.04.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish the explicit analytical expressions for the variance of the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain. We also prove these four indices of the random polyphenylene chain are asymptotic to normal distributions. (C) 2021 Elsevier B.V. All rights reserved.

引用

页码：62 / 73

页数：12

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