Recently, a novel topological invariant based on degrees of end-vertices of an edge in a graph was put forward. It was named Sombor index. The definition of the Sombor invariant suggests another, rather a geometric view onto graph edges. Here, the mathematical relations between the Sombor index and some other well-known degree-based descriptors are investigated. Then, a few results of Nordhaus–Gaddum-type are obtained. Finally, computational testing and comparison with other well-established indices are presented.

中文翻译：

---

关于Sombor与其他基于学位的指标之间的关系

近来，提出了一种基于图的边缘的末端顶点的度的新颖的拓扑不变量。它被称为Sombor索引。Sombor不变式的定义暗示了图形边缘上的另一种几何图形。在这里，研究了Sombor索引与其他一些知名的基于度的描述符之间的数学关系。然后，获得了Nordhaus–Gaddum型的一些结果。最后，介绍了计算测试以及与其他公认指标的比较。