论文标题
几何算法索引和线图
Geometric-Arithmetic index and line graph
论文作者
论文摘要
最近在化学图理论中引入了几何弧度指数的概念,但已证明它很有用。本文的目的是获得涉及几何弧度指数$ ga_1 $的新不平等现象,并表征了相对于它们的极端图形。此外,我们证明了涉及线图的几何弧度指数的不平等。
The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities involving the geometric-arithmetic index $GA_1$ and characterize graphs extremal with respect to them. Besides, we prove inequalities involving the geometric-arithmetic index of line graphs.