摘要
考虑在圈C_(g)上的某一顶点连接一个星图S_(t)所组成的单圈图C_(g)∪S_(t)的Randic能量的极值问题,利用Randic能量的定义和性质,并结合图变换,在该类单圈图中找到取得最小Randic能量的图.
We considered the extreme problem of the Randic energy of unicyclic graphs C_(g)∪S_(t) composed of sticking a star graph S_(t) at a certain vertex on the circle C_(g).Using the definition and properties of the Randic energy,and combined with graph transformations,we found the graph that obtained the minimum Randic energy in this class of unicyclic graphs C_(g)∪S_(t).
作者
王智玉
高玉斌
WANG Zhiyu;GAO Yubin(School of Mathematics,North University of China,Taiyuan 030051,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2023年第5期1042-1050,共9页
Journal of Jilin University:Science Edition
基金
山西省回国留学人员科研项目(批准号:2022-149)
山西省自然科学基金(批准号:20210302124212).
关键词
Randic能量
图变换
单圈图
特征多项式
Randic energy
graph transformation
unicyclic graph
characteristic polynomial
