M-POLYNOMIAL OF GENERALIZED TRANSFORMATION GRAPHS
Vol. 8(2) July 2020, No. 28, pp. 305-325
B. BASAVANAGOUD AND GOUTAM VEERAPUR
In this paper, we show geomertric-arithmetic index (GA) can be obtained from the M-polynomial of a graph by giving a suitable operator and obtain M-polynomial of generalized transformation graph G and their complements. Furthermore, we derive some degree-based topological indices from the obtained polynomials. The topological indices play an important role in determining physico-chemical properties of chemical graphs and topological indices such as the Randic index, geomertric-arithmetic index are used to predict the bioactivity of chemical compounds, among them the degree-based topological indices can be easily driven from an algebraic expression corresponding to the chemical graphs called M-polynomial.