论文标题

某些拓扑指数与线图之间的关系

Relations between some topological indices and the line graph

论文作者

Carballosa, Walter, Granados, Ana, Pestana, Domingo, Portilla, Ana, Sigarreta, Jose María

论文摘要

最近在化学图理论领域中引入了几何弧度和谐波指数的概念。事实证明,它们与某些分子的物理和化学特性很好地相关。本文的目的是获得涉及第一个Zagreb,Harmonic和几何弧度$ ga_1 $ indices的新不平等现象。此外,证明了这些索引和线图的不平等现象。

The concepts of geometric-arithmetic and harmonic indices were introduced in the area of chemical graph theory recently. They have proven to correlate well with physical and chemical properties of some molecules. The aim of this paper is to obtain new inequalities involving the first Zagreb, the harmonic, and the geometric-arithmetic $GA_1$ indices. Furthermore, inequalities relating these indices and line graphs are proven.

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