Harary energy of complement of line graphs of regular graphs
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The Harary matrix of a graph G is defined as H ( G ) = [ h i j ] , where h i j = 1 d ( v i , v j ) , if i ≠ j and h i j = 0 , otherwise, where d ( v i , v j ) is the distance between the vertices v i and v j in G . The H -energy of G is defined as the sum of the absolute values of the eigenvalues of Harary matrix. Two graphs are said to be H -equienergetic if they have same H -energy. In this paper we obtain the H -energy of the complement of line graphs of certian regular graphs interms of the order and regularity of a graph and thus constructs pairs of H -equienergetic graphs of same order and having different H -eigenvalues.