Let be a graph with vertex set and edge set . A topological index has the form where is a pertinently chosen function which must be symmetric and real-valued for all pertaining to vertex degrees of the graph . Particularly interesting are the Sombor index and the elliptic Sombor index , induced by the functions and , respectively. In this paper we analyze the ordering relations in benzenoid systems with respect to these two important topological indices. Also, we extend the results to general Sombor index and general elliptic Sombor index .

中文翻译：

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苯系体系的Sombor指数和椭圆Sombor指数


让 是一个具有顶点集和边集的图。拓扑索引的形式为其中 是相关选择的函数，对于所有与图 的顶点度相关的函数，该函数必须是对称的且实值的。特别有趣的是 Sombor 指数和椭圆 Sombor 指数 ，分别由函数 和 导出。在本文中，我们分析了苯型系统中关于这两个重要拓扑指标的有序关系。此外，我们将结果扩展到广义 Sombor 指数和广义椭圆 Sombor 指数。