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Energy of a graph is never the square root of an odd integer
The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G. Bapat and Pati (Bull. Kerala Math. Assoc., 1 (2004) 129-132) proved that (a) E(G) is never an odd integer. We now show that (b) E(G) is never the square root of …