All primitive strongly regular graphs except four are hyperenergetic
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The energy of a graph G, denoted by E(G), is the sum of the absolute values of the eigenvalues of G. If G is a graph on n vertices and E(G) > 2(n - 1), then G is called a hyperenergetic graph. In this paper, we prove that all primitive strongly regular graphs except srg(5, 2, 0, 1), srg(9, 4, 1, 2), srg(10, 3, 0, 1), and srg(16, 5, 0, 2) are hyperenergetic. (C) 2011 Elsevier Ltd. All rights reserved.