Computing the Merrifield-Simmons indices of benzenoid chains and double benzenoid chains

被引：18

作者：

Oz, Mert Sinan ^{[1
]}

Cangul, Ismail Naci ^{[2
]}

机构：

[1] Bursa Tech Univ, Fac Engn & Nat Sci, Dept Math, TR-16320 Bursa, Turkey

[2] Bursa Uludag Univ, Fac Arts & Sci, Dept Math, TR-16059 Bursa, Turkey

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 05期

关键词：

Double benzenoid chains; Double hexagonal chains; Hexagonal chains; Topological index; Merrifield-Simmons index; DOUBLE HEXAGONAL CHAINS; SENSITIVE GRAPHICAL SUBSETS; HOSOYA INDEX; ENUMERATION; RESPECT;

D O I：

10.1007/s12190-021-01659-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the Merrifield-Simmons vector defined at a path of corresponding double hexagonal (benzenoid) chain. By utilizing this vector, we present reduction formulae to compute the Merrifield-Simmons index sigma(H) of the corresponding double hexagonal (benzenoid) chain H. As the result, we compute sigma(H) of H by means of a product of some of obtained six matrices and a vector with entries in N. Subsequently, we introduce the simple Merrifield-Simmons vector defined at an edge of given graph G. By using simple Merrifield-Simmons vector we present reduction formulae to compute the sigma(G) where G represents any hexagonal (benzenoid) chain.

引用

页码：3263 / 3293

页数：31

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