On the Hyper-Zagreb Index of Some Graph Binary Operations

Abstract

This study looked at Graph theory as it is an important part of mathematics. Topological indices are numerical parameters of a graph which describe its structure, they have many applications as tools for modeling chemical and other properties of molecules. In this paper, we presented some exact formulas of the Hyper-Zagreb index for some special graphs and some graph binary operations such disjunction G v H, symmetric difference G H, and tensor product G H of graphs.