Abstract A massive of early drug tests indicates that there is some strong inner connections among the bio-medical and pharmacology properties of nanostar dendrimers and their molecular structures. Topological descriptors are presented as fundamentally transforming a molecular graph into a number. There exist various categories of such descriptors particularly those descriptors that based on edge and vertex distances. Topological descriptors are exercised for designing biological, physico-chemical, toxicological, pharmacologic and other characteristics of chemical compounds. In this paper, we study infinite classes of siloxane and POPAM dendrimers and derive their Zagreb eccentricity indices, eccentric-connectivity and total-eccentricity indices.

中文翻译：

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基于偏心率的硅氧烷和 POPAM 树枝状聚合物的拓扑指数

摘要 大量早期药物试验表明，纳米星树枝状大分子的生物医学和药理学性质与其分子结构之间存在着很强的内在联系。拓扑描述符被呈现为从根本上将分子图转换为数字。存在各种类型的此类描述符，特别是那些基于边缘和顶点距离的描述符。拓扑描述符用于设计化合物的生物学、物理化学、毒理学、药理学和其他特性。在本文中，我们研究了无限种类的硅氧烷和 POPAM 树枝状聚合物，并推导出了它们的萨格勒布偏心指数、偏心连通性和总偏心指数。