单圈图的遗忘指数的上界  

On the upper bounds of forgotten index of unicyclic graphs

作　　者：周后卿 姚志雄 ZHOU Houqing;YAO Zhixiong(School of Science,Shaoyang University,Shaoyang 422000,China;No.1 Middle School of Shaoyang,Shaoyang 422000,China)

机构地区：[1]邵阳学院理学院,湖南邵阳422000 [2]邵阳市第一中学,湖南邵阳422000

出　　处：《邵阳学院学报（自然科学版）》2020年第6期1-6,共6页Journal of Shaoyang University：Natural Science Edition

基　　金：邵阳学院教学改革研究项目(17JG19);邵阳学院2015年校级精品开放课程建设项目(25)。

摘　　要：设G=(V,E)是一个具有顶点n(n≥3)的简单连通图,顶点集记为V={1,2,…,n},di表示顶点i的度,定义遗忘拓扑指数为F=F(G)=∑i∈Vd3i。利用不等式方法,分析了某些单圈图的遗忘拓扑指数的界的问题,同时也研究了一些单圈图的卡氏积图的遗忘指数,得到了几个有意义的结果。Let G=(V,E)be a simple connected graph with vertex n(n≥3).The vertex set is denoted as V={1,2,n},di is the degree of vertex i,and the forgetting topological index is defined as F=F(G)=∑d.With the inequality method,the bounds of the forgetting topological index of some unicyclic graphs were analyzed.At the same time,the forgetting index of Cartesian product of some unicyclic graphs was investigated and some significative results were obtained.

关 键 词：遗忘指数 单圈图 卡氏积 上界 

分 类 号：O157.5[理学—数学]