广义四元组上 Cayley 图的阻力距离和基尔霍夫指数

IF 2.3 3区化学 Q3 CHEMISTRY, PHYSICAL International Journal of Quantum Chemistry Pub Date : 2024-08-28 DOI:10.1002/qua.27471

Yan Wang, Shuo Zhu, Kai Yuan

{"title":"广义四元组上 Cayley 图的阻力距离和基尔霍夫指数","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":"{\"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}","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

摘要

基于广义四元数群的不可还原表示，给出了这些群上 Cayley 图顶点对之间的基尔霍夫指数和阻力距离的闭式公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Resistance Distance and Kirchhoff Index of Cayley Graphs on Generalized Quaternion Groups

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International Journal of Quantum Chemistry 化学-数学跨学科应用

CiteScore

4.70

自引率

4.50%

发文量

185

审稿时长

2 months

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.