文献类型：期刊文献

英文题名：The second-minimum and second-maximum values of exponential Zagreb indices among trees

作者：Yang, Lu[1];Zhu, Yan[1]

机构：[1]East China Univ Sci & Technol, Sch Math, Shanghai, Peoples R China

年份：2023

卷号：15

期号：01

外文期刊名：DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS

收录：WOS:【ESCI(收录号:WOS:000848620000001)】；

基金：The research of Yan Zhu is supported by NSFC (Grant No. 12171154).

语种：英文

外文关键词：Exponential Zagreb index; second-minimum value; second-maximum value; tree

摘要：Exponential of the first Zagreb index and the second Zagreb index of a graph G are defined as e(M1) (G) = Sigma(uv is an element of E(G)) e(d(u)+d(v)), and e(M2) (G) = Sigma(uv is an element of E(G)) e(d(u)d(v)), where E(G) denotes the set of edges and d(u) denotes the degree of vertex u. The extremal trees of these two indices among trees have been determined in previous studies. In this paper, we give the second-minimum and the second-maximum values of e(M1) and e(M2) among trees.