Comparative study of multilayered graphene using numerical descriptors through M-polynomial

Abstract

Molecular descriptors play a powerful role in encoding the information
of a chemical compound using its molecular structure based on a defined
algorithm. Regardless of the evolution in drug design, the main tool used
in discovering the lead molecules of a drug refers to the use of topological
descriptors. This article focusses on M-polynomial of multilayered graphene,
viz., monolayer, bilayer and trilayer. Using the M-polynomial, eleven degreebased
topological indices are derived for the said three structures. 3D-plot
of the polynomials shows variation among the three types of graphene. The
numerical and graphical comparison of the indices for varying values of n are
tabulated for better understanding.