{"title":"Resistance Distance and Kirchhoff Index of Cayley Graphs on Generalized Quaternion Groups","authors":"Yan Wang, Shuo Zhu, Kai Yuan","doi":"10.1002/qua.27471","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>Based on irreducible representations of generalized quaternion groups, closed-form formulae of Kirchhoff indices and resistance distances between vertex pairs of Cayley graphs on these groups are given.</p>\n </div>","PeriodicalId":182,"journal":{"name":"International Journal of Quantum Chemistry","volume":"124 17","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Quantum Chemistry","FirstCategoryId":"92","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/qua.27471","RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Based on irreducible representations of generalized quaternion groups, closed-form formulae of Kirchhoff indices and resistance distances between vertex pairs of Cayley graphs on these groups are given.
期刊介绍:
Since its first formulation quantum chemistry has provided the conceptual and terminological framework necessary to understand atoms, molecules and the condensed matter. Over the past decades synergistic advances in the methodological developments, software and hardware have transformed quantum chemistry in a truly interdisciplinary science that has expanded beyond its traditional core of molecular sciences to fields as diverse as chemistry and catalysis, biophysics, nanotechnology and material science.