三类正则图的Balaban指标  

Balaban indices of three kinds of regular graphs

作　　者：拉白 邓波 冶成福 付凤 李宜婧 LA Bai;DENG Bo;YE Cheng-fu;FU Feng;LI Yi-jing(College of Mathematics and Statistics,Qinghai Normal University,Xining 810008,Qinghai,China;Tibetan Intelligent Information Processing and Machine Translation Key Laboratory,Xining 810008,Qinghai,China;Key Laboratory of Tibetan Information Processing and Machine Translation,Qinghai Province,Xining 810008,Qinghai,China;Academy of Plateau,Science and Sustainability,Xining 810008,Qinghai,China;College of Science,Guangdong University of Petrochemical Technology,Maoming 525000,Guangdong,China)

机构地区：[1]青海师范大学数学与统计学院,青海西宁810008 [2]藏文信息处理教育部重点实验室,青海西宁810008 [3]青海省藏文信息处理与机器翻译重点实验室,青海西宁810008 [4]高原科学与可持续发展研究院,青海西宁810008 [5]广东石油化工学院理学院,广东茂名525000

出　　处：《山东大学学报（理学版）》2020年第4期97-101,共5页Journal of Shandong University(Natural Science)

基　　金：青海省科技厅项目(2018-ZJ-925Q);国家自然科学基金资助项目(11701311,QY201907);广东省自然科学基金项目-博士启动项目(2016A030310307)。

摘　　要：Balaban指标作为一类重要的图的拓扑指标,被广泛应用定量结构-活性相关(quantitative structure-activity relationship,QSAR)和定量结构-性质相关(quantitative structure-property relationship,QSPR)的各方面研究。给出了正则图Balaban指标的一个下界,然后分别给出小世界网络图、K2×Ct卡氏积,以及在K2×Ct卡式积的基础上构造了一类4-正则图的Balaban指标计算公式。As an important topological index of a graph,the Balaban index has been widely used in various QSAR(quantitative structure-activity relationship)and QSPR(quantitative structure-property relationship)studies.A lower bound on the Balaban index of a regular graph is given.Then the Balaban index of the small world network graphs,the Cartesian product K2×Ct and a kind of 4-regular graphs produced by the Cartesian product K2×Ct were shown respectively.

关 键 词：Balaban指标 正则图 小世界网络图 卡氏积 

分 类 号：O157[理学—数学]