Vertex-Edge-Degree-Based Topological Properties for Hex-Derived Networks

Abstract

A topological index can be focused on uprising of a chemical structure into a real number. The degree-based topological indices have an active place among all topological indices. These topological descriptors intentionally associate certain physicochemical assets of the corresponding chemical compounds. Graph theory plays a very useful role in such type of research directions. The hex-derived networks have vast applications in computer science, physical sciences, and medical science, and these networks are constructed by hexagonal mesh networks. In this paper, we determined the exact values of vertex-edge-degree-based topological descriptors for hex-derived networks ${\text{HDN}}_1\left(p\right)$ and ${\text{HDN}}_2\left(p\right)$ , which are generated by the hexagonal network of dimension $p$ .