Abstract Several properties of chemical compounds in a molecular structure can be determined with the aid of mathematical languages provided by various types of topological indices. In this paper, we consider eight dendrimer structures in the context of valency based topological indices. We define four Banhatti polynomials for general (molecular) graphs, and compute them for underline dendrimers. We use these polynomials to determine four Banhatti indices. We also determine Zagreb (first, second and hyper) and forgotten indices by developing their relationships with Banhatti indices.

中文翻译：

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由它们的 Banhatti 多项式确定的树枝状聚合物的一些拓扑指数

摘要 借助各种拓扑指数提供的数学语言，可以确定分子结构中化合物的几种性质。在本文中，我们在基于价态的拓扑指数的背景下考虑了八种树枝状聚合物结构。我们为一般（分子）图定义了四个 Banhatti 多项式，并为下划线树枝状聚合物计算它们。我们使用这些多项式来确定四个 Banhatti 指数。我们还通过发展它们与 Banhatti 指数的关系来确定萨格勒布（第一、第二和超）指数和被遗忘的指数。