More hyperenergetic molecular graphs

If G is a molecular graph and lambda(1), lambda(2),... lambda(n) are its eigenvalues, then the energy of G is equal to E(G) = \lambda(1)\+ \lambda(2)\+... + \lambda(n)\. This energy cannot exceed the value n root(n - 1) approximate to n(3/2). The graph G is said to be hyperenergetic if E(G) > 2n - 2. We describe the construction of hyperenergetic graphs G for which E(G) approximate to 1/2 n(3/2).