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Abstract
The energy E(G) of a graph G is the sum of the absolute values of eigenvalues of G and the Seidel energy ES(G) is the sum of the absolute values of eigenvalues of the Seidel matrix S of G. In this paper, some relations between the energy and Seidel energy of a graph in terms of different graph parameters are presented. Also, the inertia relations between the graph eigenvalue and Seidel eigenvalue of a graph are given. The results in this paper generalize some of the existing results.
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Details
1 Department of Mathematics, Karnatak University, Dharwad, India
2 Department of Mathematics, Karnatak University’s, Karnatak Arts College, Dharwad, India
3 Department of Mathematics, Christ University, Bangalore, India