More hyperenergetic molecular graphs

If G is a molecular graph and l1, l2, ..., ln are its eigenvalues, then the energy of G is equal to E(G) = |l1| + |l2| + ... + |ln|. This energy cannot exceed the value . The graph G is said to be hyperenergetic if E(G) >> 2n - 2. We describe the construction of hyperenergetic graphs G for which .