General fifth M-Zagreb indices and fifth M-Zagreb polynomials of carbon graphite

Graph theory plays a vital role in modeling and designing any chemical structure or chemical network. Chemical graph theory helps to understand the molecular structural properties of a molecular graph. The molecular graph is a graph consisting of atoms called vertices and the chemical bond between atoms called edges. In this paper, we have computed the various types of degree-based fifth M-Zagreb indices, general fifth M-Zagreb indices, fifth hyper-M-Zagreb indices, general fifth M-1-Zagreb polynomial, general fifth M-2-Zagreb polynomial, fifth M-1-Zagreb polynomial and fifth M-2-Zagreb polynomial, fifth hyper-M(1)Zagreb polynomial, fifth hyper-M-2-Zagreb polynomial and fifth M-3-Zagreb index and their polynomials of a molecular graph namely carbon graphite denoted by CG(m,n) for t-levels.