On Randić energy of graphs

Let di be the degree of vertex vi of G then Randić matrix R(G) = [rij ] is defined as rij = 1/ √didj, if the vertices vi and vj are adjacent in G or rij = 0, otherwise. The Randić energy is the sum of absolute values of the eigenvalues of R(G). In this paper we have investigated Randić energy of m-Splitting and m-Shadow graphs. We also have constructed a sequence of graphs having same Randić energy.