Affiliations: Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
Correspondence:
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Corresponding author. Muhammad Mobeen Munir, Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan. E-mails: mmunir@ue.edu.pk, mmunir.math@pu.edu.pk
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.
