UPPER AND LOWER BOUNDS FOR THE SKEW HERMITIAN RANDIC ENERGY OF STANDARD GRAPHS

Abstract

Abstract Let us consider a simple graph . The energy of the graph is defined as the sum of the absolute values of the eigen values of the adjacency matrix [1] & [2]. The energy of , denoted by , is called Skew- Hermitian Randiฤ‡ energy, which is defined as the sum of the absolute values of its eigenvalues of , that is, [9]. The total ฯ€ electron energy of conjugated hydrocarbon molecules are closely connected with graph invariant[10],[11]. Recently based on the eigen values of graph matrices various energies are computed. For a graph matrix, we can determine the eigen values based on which we can compute the energy of the graph. In this paper, we have determined the Skew-Hermitian Randic Energy of some standard graphs[13],[14],[15]

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