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 $$GA_1$$ G A 1 indices. Furthermore, inequalities relating these indices and line graphs are proven.

中文翻译：

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一些拓扑指标与折线图的关系

最近在化学图论领域引入了几何-算术和调和指数的概念。它们已被证明与某些分子的物理和化学特性有很好的相关性。本文的目的是获得涉及第一个萨格勒布、谐波和几何算术 $$GA_1$$ GA 1 指数的新不等式。此外，证明了与这些指数和折线图相关的不等式。