The M-polynomials of some Chemical Graphs

Abstract

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.

Evaluation of some degree based topological indices of boron kagome lattice

“…In [11], the 𝑀-polynomial of the two-dimensional three-layered single-walled titania nanotube lattice was studied by Raheem et al, The topological indices through M-polynomial of book graphs were found by Khalaf et al, [12]. Some other works related to Mpolynomials was also found in [13,14]. In this paper, we compute the topological indices of Boron Kagome Lattice with the help of M-polynomial.…”