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*Corresponding Author: Muhammad Naeem Email: naeempkn@gmail.com Tel.: +92 3234361991 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 M1-Zagreb polynomial, general fifth M2-Zagreb polynomial, fifth M1-Zagreb polynomial and fifth M2-Zagreb polynomial, fifth hyper-M1Zagreb polynomial, fifth hyper-M2-Zagreb polynomial and fifth M3-Zagreb index and their polynomials of a molecular graph namely carbon graphite denoted by CG(m,n) for t-levels.

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