Topological Properties of Para-Line Graph of Some Convex Polytopes Using Neighborhood M-Polynomial

Abstract

The neighborhood M-polynomial is effective in recovering neighborhood degree sum based topological indices that predict different physicochemical properties and biological activities of molecular structures. Topological indices can transform the information found in molecular graphs and networks into numerical characteristics and thus make a major contribution to the study of structureproperty and structure-activity relationships. In this work, the neighborhood M-polynomial of the paraline graph of some convex polytopes is obtained. From the neighborhood M-polynomial, some neighborhood degree-based topological indices are recovered. Applications of the work are described. In addition, a quantitative and graphical comparison is made.