关于具有最小第二原子键连通性指标的单圈图

On Unicyclic Graph with Minimal Second Atom-Bond Connectivity Index

中文关键词:  第二原子键连通性指标  单圈图  分式比较  最小值

英文关键词:the second atom-bond connectivity index  unicyclic graph  fractional comparison  minimal value

中文摘要:

      由Graovac和Ghorbani定义的另一种新的原子键连通性指标, 我们称之为第二原子键连通性指标(简记为$ABC_{2}$). 它为研究分子特征提供了方便, 且其极值问题是研究的重点. 本文通过分式比较, 给出了$n$个顶点的具有最小$ABC_2$指标的单圈图及其结构性质.

英文摘要:

      Another version of atom-bond connectivity index was defined by Graovac and Ghorbani, and called the second atom-bond connectivity index($ABC_{2}$), which can provide convenience for molecular feature and its extreme values are the focus of study. In this paper, by fractional comparison, we give the structural properties of the extremal graphs which attain the minimal $ABC_{2}$ index of unicyclic graphs of order $n$.