Statistical Analyses of a Class of Random Cyclooctatetraene Chain Networks with Respect to Several Topological Properties

被引：1
|
作者：
Tao, Chen [1 ]
Tang, Shengjun [1 ]
Geng, Xianya [1 ]
机构：
[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Peoples R China
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 11期
基金：
美国国家科学基金会;
关键词：
random cyclooctatetraene chain; Schultz index; multiplicative degree-Kirchhoff index; Gutman index; additive degree-Kirchhoff index; MODIFIED SCHULTZ INDEX; RESISTANCE-DISTANCE; NORMALIZED LAPLACIAN; KIRCHHOFF INDEX; WIENER INDEX; SUM;
D O I：
10.3390/sym15111971
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In recent years, the research on complex networks has created a boom. The objective of the present paper is to study a random cyclooctatetraene chain whose graph-theoretic mathematical properties arose scientists' interests. By applying the concept of symmetry and probability theory, we obtain the explicit analytical expressions for the variances of Schultz index, multiplicative degree-Kirchhoff index Gutman index, and additive degree-Kirchhoff index of a random cyclooctatetraene chain with n octagons, which plays a crucial role in the research and application of topological indices.
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