The chemical graph theory (CGT)is one of the branches in mathematical chemistry. It is utilized to address the number of problems related to molecular theory which has its utilization in graph theory as an application. The CGT reduces the structure of the molecule to a single value which is used to mark either to its structural fragments, orbital’s, the molecular branching, energy of the molecule as a whole, its electronic structures and many other properties by using these invariants. These invariants estimate the relations of physical evident estimations by performing experiments in a way that theoretical anticipation is used to obtain the chemical prediction for the molecules. Here, we find some topological indices by using M-polynomial for the triangular benzenoidTn, hexagonal parallelogram nanotube P(n,m), zigzag - edge coronoid fused with starphene nanotubeZCS (k,l,m)utilizing the line graphs of the subdivision graphs of these chemical structures.

The technique of securing information or data in the form of images, codes, merging words etc are closely related to the disciplines of cryptanalysis and cryptology. Analogous to this numerical encoding of chemical structure, connected to topological indices is also growing significantly in the field of chemical graph theory. One of the salient features of topological indices is to predict the characteristics prescribed by the molecule's chemical structure. In this paper, we calculate the topological indices of the two-dimensional Boron Kagome Lattice by M- polynomial. Further, the graphical representation of the 𝑀-polynomial and the topological indices are obtained.