二树的乘积和Zagreb指数  

Multiplicative Sum Zagreb Index of Two-trees

作　　者：孙晓玲[1] 高玉斌[1] 杜建伟[1] SUN Xiaoling;GAO Yubin;DU Jianwei(School of Science,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《山西大学学报（自然科学版）》2022年第5期1174-1178,共5页Journal of Shanxi University(Natural Science Edition)

基　　金：山西省自然科学基金(201901D211227)。

摘　　要：乘积和Zagreb指数是著名的Zagreb指数的变形形式。文章对二树的乘积和Zagreb指数进行了研究,采用数学归纳法和分析结构法,得到了二树的最大和第二大乘积和Zagreb指数的值。The multiplicative sum Zagreb index is a variant of the famous Zagreb indices. The multiplicative sum Zagreb index of two trees was studied by utilizing the methods of mathematical induction and exploring the structures of two-trees, which determined the two trees with the largest and second largest multiplicative sum Zagreb indices, respectively.

关 键 词：拓扑指数 乘积和Zagreb指数 二树 

分 类 号：O157.5[理学—数学]