Computing some Novel Closed Neighborhood Degree-Based Topological Indices of Graphene Structures

Abstract

Chemical graph theory (CGT) is a crucial part of mathematical chemistry, which characterizes the chemical compounds as molecular graphs using graph-theoretical tools. By IUPAC terminology, a numerical parameter that represents the topology of a molecular graph is known as a topological index (TI). In this scenario, our research interest is to employ newly defined seven TIs, namely closed neighborhood first Zagreb index (CM1(G)), modified closed neighborhood first Zagreb index (CM1*(G)), closed neighborhood second Zagreb index (CM2(G)), closed neighborhood Forgotten index (CF(G)), modified closed neighborhood Forgotten index (CF*(G)), closed neighborhood first hyper Zagreb index (CHM1(G)) and closed neighborhood second hyper Zagreb index (CHM2(G)) as well as explore them mathematically. Without applying quantum mechanics, these TIs could obtain the maximum information behind the graphene structures.