Geodesic
A note on graphs with two main eigenvalues
Kragujevac Journal of Mathematics, Tome 24 (2002) no. 1.

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Kragujevac J. Math. 24 (2002) 43-53. A NOTE ON GRAPHS WITH TWO MAIN EIGENVALUESMirko LepovicDepartment of Mathematics, Faculty of Science, University of Kragujevac,34000 Kragujevac, Yugoslavia (Received February 25, 2002) Abstract. Let G be a simple connected or disconnected graph which has exactly two main eigenvalues. Let Gk = G \ k be the corresponding vertex deleted subgraph of G. If Gi and Gj are cospectral in this paper we prove that their complementary graphs Gi and Gj are also cospectral. 
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Mirko Lepović. A note on graphs with two main eigenvalues. Kragujevac Journal of Mathematics, Tome 24 (2002) no. 1. http://geodesic.mathdoc.fr/item/KJM_2002_24_1_a3/