Extremal(Molecular)Trees with Respect to Multiplicative Sombor Indices  

作　　者：Hechao LIU 

机构地区：[1]School of Mathematical Sciences,South China Normal University,Guangdong 510631,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第2期139-149,共11页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11971180);the Natural Science Foundation of Guangdong Provine(Grant No.2019A1515012052);the Characteristic Innovation Project of General Colleges and Universities in Guangdong Province(Grant No.2022KTSCX225);the Guangdong Education and Scientific Research Project(Grant No.2021GXJK159)。

摘　　要：Topological indices are a class of numerical invariants that can be used to predict the physicochemical properties of compounds and are widely used in quantum chemistry,molecular biology and other research field.For a(molecular)graph G with vertex set V(G)and edge set E(G),the Sombor index is defined as SO(G)=∑_(uv∈E(G))√d^(2)_(G)(u)+d^(2)_(G)(v),where d_(G)(u)denotes the degree of vertex u in G.Accordingly,the multiplicative Sombor index is defined asП_(SO)(G)=П_(uv∈E(G))√d^(2)_(G)(u)+d^(2)_(G)(v).A molecular tree is a tree with maximum degree∆≤4.In this paper,we first determine the maximum molecular trees with respect to multiplicative Sombor index.Then we determine the first thirteen minimum(molecular)trees with respect to multiplicative Sombor index.

关 键 词：TREE molecular tree multiplicative Sombor index extremal value 

分 类 号：O212.1[理学—概率论与数理统计]