The energy of a graph is defined as the sum of the absolute values of its all eigenvalues. Gutman [Acyclic systems with extremal Huckel pi-electron energy, Theoret. Chim. Acta 45(1977) 79-87] characterized the trees with n vertices having the minimal, the second-minimal, the third-minimal, the fourth-minimal, the maximal, and the second-maximal energies. In this paper, as the continuance of it, we determine the trees with n vertices having the fifth-minimal, the sixth-minimal, the seventh-minimal, and the third-maximal energies. As a consequence, we determine the tree with n vertices having ex...
