内蒙古民族大学学报（自然科学版）2024，Vol.39Issue(4)：14-19,6.DOI:10.14045/j.cnki.15-1220.2024.04.003
图的Nirmala指数的极值
Extremal Values of Nirmala Index of Graphs
摘要
Abstract
Since the first topological index of graph was defined,many kinds of topological index definitions have been given by researchers,which are widely used in chemistry,biology,network science and other related disci-plines.Recently,the definition of Nirmala index of graphs was given,the mathematical properties of the Nirmala in-dex and the relationship between the Nirmala index and other topological indices have been obtained.The extreme value of Nirmala index is studied by the operation of defining graph,and the second largest Nirmala index of the tree is determined by auxiliary function.The Nirmala index bounds of several graph classes are obtained,and the po-lar graphs with these bounds are described completely.The extreme value of Nirmala exponent in the class of unicy-clic graphs is determined by Karamata inequality.关键词
Nirmala指数/极值/界Key words
Nirmala index/extremal value/bound分类
数理科学引用本文复制引用
徐春雷,李冠儒..图的Nirmala指数的极值[J].内蒙古民族大学学报（自然科学版）,2024,39(4):14-19,6.基金项目
内蒙古自治区教育厅科研项目(NJZY21439) （NJZY21439）
2021年度内蒙古自治区本级事业单位引进人才科研项目(RCQD202204) （RCQD202204）
内蒙古民族大学博士科研启动基金项目(BS643,BSZ013,BSZ014) （BS643,BSZ013,BSZ014）
