准树图的零阶广义Randic指数  

Zeroth-order general Randic index of quasi-tree graphs

作　　者：孙晓玲[1] 高玉斌[1] 杜建伟 任建斌[1] SUN Xiao-ling;GAO Yu-bin;DU Jian-wei;REN Jian-bin(School of Mathematics,North University of China,Taiyuan 030051,Shanxi,China)

机构地区：[1]中北大学数学学院,山西太原030051

出　　处：《山东大学学报（理学版）》2022年第12期96-102,共7页Journal of Shandong University(Natural Science)

基　　金：山西省自然科学基金(青年)资助项目(201901D211227);山西省自然科学基金资助项目(201801D121158)。

摘　　要：利用零阶广义Randic指数的性质,通过分析准树图的结构,确定了具有完美匹配和p个悬挂点的准树图的零阶广义Randic指数的极值,并刻画了相应的极图。By using the properties of the zeroth-order general Randic index and analyzing the structure of the quasi-tree graphs,the extremal values of zeroth-order general Randic indices of quasi-tree graphs with perfect matchings and p pendant vertices are determined.Furthermore,the corresponding extremal quasi-tree graphs are identified.

关 键 词：零阶广义RANDIC指数 准树图 完美匹配 悬挂点 

分 类 号：O157.5[理学—数学]