Geodesic
On minimal energies of trees with given diameter
The electronic journal of linear algebra, Tome 17 (2008), pp. 414-425.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The energy of G, denoted by $E(G)$, is defined as the sum of the absolute values of the eigenvalues of G. In this paper, the trees with a given diameter having the minimal energy are determined by three specific tree operations; using this method, together with previous work, a conjecture proposed by B. Zhou and F. Li [ J. Math. Chem., 39:465-473, 2006] is completely solved.
Classification : 05C50, 05C35
Keywords: energy, tree, pendent vertex, diameter 
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Li, Shuchao; Li, Nana. On minimal energies of trees with given diameter. The electronic journal of linear algebra, Tome 17 (2008), pp. 414-425. http://geodesic.mathdoc.fr/item/ELA_2008__17__a16/