Degree-based entropies of graphene, graphyne and graphdiyne using Shannon’s approach

Abstract

Topological indices are graph-theoretically based parameters that enable the characterization of the underlying connectivity of a molecular structure. Many chemical properties have been linked to degree-based topological indices, which have been extensively studied. The study of entropy indices of graphs as a measure of complexity of the underlying connectivity and as a tool for the characterization of structural properties has also been gaining importance. Current work deals with certain substructures derived from hexagonal honeycomb graphite lattices such as graphene (GN), graphyne (GY) and graphdiyne (GDY). This paper investigates several degree-based topological indices of these structures by using the graph-theory based edge partition method. We have computed several topological indices including graph-based entropies of these structures as determined using Shannon’s entropy model.