The expected values and variances for degree-based topological indices in three random chains

被引:1
|
作者
Zhang, Weilin [1 ]
You, Lihua [1 ]
Liu, Hechao [2 ]
Fang, Xiaona [1 ]
机构
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
[2] Hubei Normal Univ, Sch Math & Stat, Huangshi Key Lab Metaverse & Virtual Simulat, Huangshi 435002, Peoples R China
关键词
degree-based topological index; random chain; expected value; variance; RANDOM POLYPHENYLENE;
D O I
10.2298/FIL2418563Z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article is devoted to obtaining a general method of calculating the expected values and variances for degree-based topological indices in random hexagonal, phenylene and polyphenyl chains. Based on the general method, some important degree-based topological indices are discussed and the explicit analytical expressions of their expected values and variances are presented, in which some known results are included. Besides, the expected values and variances for degree-based topological indices in these random chains are compared. In the end, the extremal values and the average values for degree-based topological indices in these random chains are determined.
引用
收藏
页码:6563 / 6580
页数:18
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