The Expected Value for the Wiener Index in the Random Spiro Chains

被引：8
作者：
Qi, Jinfeng [1 ]
Fang, Minglei [1 ]
Geng, Xianya [1 ]
机构：
[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan, Peoples R China
来源：
POLYCYCLIC AROMATIC COMPOUNDS | 2023年 / 43卷 / 02期
基金：
美国国家科学基金会;
关键词：
Wiener index; random spiro chain; expected value; average value; MERRIFIELD-SIMMONS INDEX; KIRCHHOFF INDEXES; RANDOM POLYPHENYL; CYCLOOCTATETRAENE; DISTANCE;
D O I：
10.1080/10406638.2022.2038218
中图分类号：
O62 [有机化学];
学科分类号：
070303 ; 081704 ;
摘要：
The Wiener index W(G) of a graph G is the sum of distances between all pairs of vertices in G. In this article, we obtain exact analytical expression of the expected value for the Wiener index of the random spiro chains with n octagons, which are graphs of a class of polycyclic hydrocarbons and unbranched multispiro molecules. We also discuss the average value and extreme values with respect to the set of all the random spiro chains.
引用
收藏
页码：1788 / 1798
页数：11
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