On the M-polynomials and degree-based topological indices of an important class of graphs

Abstract

M-polynomial of chemical compounds is a recent idea and it produces closed forms of many degree-based topological indices which correlate chemical properties of material under investigation. These indices are used in the development of quantitative structure-activity relationships (QSARs) in which the biological activity and other properties of molecules like boiling point, stability, strain energy etc. are correlated with their structures. In this paper, we determine general closed formulae for M-polynomials of the Sierpinski graph. We recover important topological degree-based indices. We also give different graphs of topological indices and their relations with the parameters of structures.