The expected values for the Kirchhoff indices in the random hexagonal-quadrilateral chain and its spiro chain

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-04-19 DOI:10.1016/j.dam.2025.04.028

Wei Qin, Xiaoling Ma

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引用次数: 0

Abstract

A hexagonal-quadrilateral chain is composed of

n

hexagons and

n - 1

quadrilaterals connected by cut edges, which is a class of polycyclic aromatic hydrocarbons. The Kirchhoff index

K f (G)

of a graph

G

is the sum of resistance distances between all pairs of vertices in

G

. In this paper, we obtain exact analytical expressions of the expected values for the Kirchhoff indices of the random hexagonal-quadrilateral chain and its corresponding spiro chain with

n

hexagons and

n - 1

quadrilaterals, respectively. Moreover, we also discuss the average values for the Kirchhoff indices of the random hexagonal-quadrilateral chain and its corresponding random spiro chain, respectively.

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随机六边形-四边形链及其螺旋链的基尔霍夫指数期望值

六边形-四边形链由n个六边形和n - 1个四边形通过切边连接而成，是一类多环芳烃。图G的Kirchhoff指数Kf(G)是G中所有顶点对之间的阻力距离之和。本文分别得到了n个六边形和n - 1个四边形的随机六边形-四边形链及其对应的螺旋链的Kirchhoff指数期望值的精确解析表达式。此外，我们还讨论了随机六边形-四边形链及其对应的随机螺旋链的Kirchhoff指数的平均值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.