Randic and reciprocal randic spectral radii and energies of some graph operations

Abstract

The largest absolute eigenvalue of a matrix A associated to the graph G is called the A-Spectral Radius of the graph G, and A-energy of the graph G is defined as the absolute sum of all its eigenvalues. In the present article, we compute Randic energies, Reciprocal Randic energies, Randic spectral radii and Reciprocal Randic radii of s-shadow and s-splitting graph of G. We actually relate these energies and Spectral Radii of new graphs with the energies and Spectral Radii of original graphs.