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：9
|
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
收藏
页码：62 / 73
页数：12
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