Geometric perspective to Degree–Based topological indices of supramolecular chain

Abstract

Sombor index and their types are introduced pertaining to Euclidean geometry. In graph-theoretical terminology, it is the sum of all pairs of adjacent vertices di2+dj2 given di is the degree of ith vertex. Using geometrical interpretation, new types of Sombor indices are introduced. In this article, we discussed newly developed Sombor indices for the supramolecular chain of different complexes. Particularly, the first Sombor index was introduced in terms of area in Euclidean geometry. The second, fourth, and sixth versions of Sombor indices are defined in the form of angular orientation, while the third and fifth Sombor indices are formulated via perimeter.

Keywords

• Geometric indices
• Degree–based topological descriptors
• Sombor indices
• Supramolecular chain