We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Ordering of the trees by minimal energies.
- Authors
Wen-Huan Wang; Li-Ying Kang
- Abstract
The ordering of the trees with n vertices according to their minimal energies is investigated by means of a quasi-ordering relation and the theorem of zero points. We deduce the first 9 trees for a general case with n ≥ 46. We obtain the first 12, 11, n + 6, 17, 15, and 12 trees for 7117598 ≥ n ≥ 26, 25 ≥ n ≥ 18, 17 ≥ n ≥ 11, n = 10, n = 9, and n = 8, respectively. For n = 7, we list all the trees in the increasing order of their energies. The maximal diameters of the trees with minimal energies obtained here are 4 for n ≥ 18 and 5 for 17 ≥ n ≥ 8, respectively. For the trees under consideration, the ones with smaller diameters have smaller energies. In addition, we in part prove a conjecture proposed by Zhou and Li (J. Math. Chem. 39:465–473, 2006).
- Subjects
TREE graphs; STOCHASTIC orders; DIAMETER; FORCE &; energy; LOGICAL prediction; HUCKEL molecular orbitals
- Publication
Journal of Mathematical Chemistry, 2010, Vol 47, Issue 3, p937
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-009-9616-3