Computation of Neighborhood M-Polynomial of Three Classes of Polycyclic Aromatic Hydrocarbons

Abstract

Chemical graph theory is a branch of mathematical chemistry that significantly affects the development of the chemical sciences. The neighborhood M-polynomial approach is an extraordinary process for determining neighborhood degree sum-based topological indices to estimate materials’ various physical, chemical, and biological characteristics. The present work deals with obtaining the NM-polynomial of three types of polycyclic aromatic hydrocarbons (PAHs). Using NM-polynomials as tools, specific degree-based topological indices are retrieved. The applications of these PAHs are pharmaceuticals, lubricating materials, photographic products, agricultural products and other chemical industries. The graphical representations of the outcomes are displayed. These results are compared to several well-known degree-based indices.

Keywords:

• Topological index
• neighborhood M-polynomial
• polycyclic aromatic hydrocarbons

Disclosure statement

No potential conflict of interest was reported by the author(s).