05992298

j

05992298 Panigrahi, Pratima Mohapatra, R.N. All primitive strongly regular graphs except four are hyperenergetic. Appl. Math. Lett. 24, No. 12, 1995-1997 (2011). 2011 Elsevier Science Ltd. (Pergamon), Oxford EN strongly regular graphs eigenvalues graph energy

doi:10.1016/j.aml.2011.05.026

Summary: 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.