More trees with large energy and small size

Abstract

In a previous paper [E. O. D. Andriantiana, MATCH Commun. Math Comput. Chem. 68 (2012) 000–000] trees with a fixed number n of vertices were ordered according to their energy, and a large number of trees with greatest energy were characterized. These results, however, hold only if n is large enough. We now analyze the energy–ordering of trees for small values of n (up to 100) and establish the first few greatest–energy species. The results obtained for small values of n significantly differ from those valid for large values of n.