M-polynomial and neighborhood M-polynomial methods for topological indices of porous graphene

Abstract

A molecular structure can be described by a parameter, polynomial or matrix. The physico-chemical features, bio-activities of a chemical compound are predicted using the numerical descriptor called topological index. Topological indices remodel the data of molecular graphs into numerical characteristics which in turn improvises the discussion of structure property and activity relationship. The present work concentrates on obtaining the M-polynomial and NM-polynomial of porous graphene structure. Using these polynomials as tools, certain degree-based topological indices are retrieved. The applications of porous graphene are in the field of electrochemical energy storage, electrochemical sensor, electro-catalysis, DNA sequencing, biosensors and diagnostics.