{"title":"The Merrifield–Simmons Index of the Fullerene Derivative Hexagonal System","authors":"","doi":"10.1080/10406638.2023.2274476","DOIUrl":null,"url":null,"abstract":"<div><div>The fullerene derivative hexagonal system is obtained from fullerene <em>C<sub>n</sub></em> and hexagonal system sticked by a common edge. The Merrifield–Simmons index of a graph <em>G</em> is defined as the total number of the independent sets of <em>G</em>. In this paper, we give the lower and larger bound of Merrifield–Simmons index of the fullerene derivative hexagonal system. Furthermore, we give two formulas of the Merrifield–Simmons index of the fullerene derivative hexagonal system <em>C</em><sub>20</sub> ⊗ <em>l</em>(<em>n</em>) and <em>C</em><sub>20</sub> ⊗ (<em>l</em>(<em>n</em><sub>1</sub>), <em>l</em>(<em>n</em><sub>2</sub>)).</div></div>","PeriodicalId":20303,"journal":{"name":"Polycyclic Aromatic Compounds","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2024-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Polycyclic Aromatic Compounds","FirstCategoryId":"92","ListUrlMain":"https://www.sciencedirect.com/org/science/article/pii/S1040663823021115","RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"CHEMISTRY, ORGANIC","Score":null,"Total":0}
引用次数: 0
Abstract
The fullerene derivative hexagonal system is obtained from fullerene Cn and hexagonal system sticked by a common edge. The Merrifield–Simmons index of a graph G is defined as the total number of the independent sets of G. In this paper, we give the lower and larger bound of Merrifield–Simmons index of the fullerene derivative hexagonal system. Furthermore, we give two formulas of the Merrifield–Simmons index of the fullerene derivative hexagonal system C20 ⊗ l(n) and C20 ⊗ (l(n1), l(n2)).
期刊介绍:
The purpose of Polycyclic Aromatic Compounds is to provide an international and interdisciplinary forum for all aspects of research related to polycyclic aromatic compounds (PAC). Topics range from fundamental research in chemistry (including synthetic and theoretical chemistry) and physics (including astrophysics), as well as thermodynamics, spectroscopy, analytical methods, and biology to applied studies in environmental science, biochemistry, toxicology, and industry. Polycyclic Aromatic Compounds has an outstanding Editorial Board and offers a rapid and efficient peer review process, as well as a flexible open access policy.