三圈图中有关广义Somber指数的研究  

Research on the Generalized Somber Index in Tricyclic Graphs

作　　者：董邢悦 耿显亚 Dong Xingyue;Geng Xianya(School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan 232001,China)

机构地区：[1]安徽理工大学数学与大数据学院,安徽淮南232001

出　　处：《洛阳师范学院学报》2024年第8期8-12,共5页Journal of Luoyang Normal University

基　　金：国家自然科学基金项目(12171190);安徽省自然科学基金项目(2008085MAO1)。

摘　　要：为了进一步研究表征分子图、预测化合物的生物活性以及建立分子结构和性质之间的关系,对三圈图G中广义Somber指数的分子图进行了研究,确定了三圈图中广义Somber指数的极值.结果发现,具有n个顶点的基三圈图集合上,在τ_(15)^(n)(1,1,1,1,1)时Somber指数值最小.The researchers conducted the research on molecular graphs of the generalized Somber index in tricyclic graphs and identified the extreme value of the generalized Somber index in tricyclic graphs to further study the characterization of molecular diagrams,predict the biological activity of compounds,and establish the relationship between molecular structure and properties.The result shows that the minimum Somber index over the set of base tricyclic graphs with n is attained in τ_(15)^(n)(1,1,1,1,1).

关 键 词：广义Somber指数 三圈图 分子图 极值 

分 类 号：O157.6[理学—数学]