On the minimal energy of trees with a given diameter

Applied Mathematics Letters

Volumn 18, Issue 9, 2005, Pages 1046-1052

  Yan, Weigen ^a,b   Ye, Luzhen ^c  

^a JIMEI UNIVERSITY   (China)

^b INSTITUTE OF MATHEMATICS   (Taiwan)

^c FUZHOU UNIVERSITY   (China)

Author keywords

electronic energy; Adjacency matrix; Characteristic polynomial; Quasi ordering

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; SET THEORY; VECTORS;

Π-ELECTRONIC ENERGY; ADJACENCY MATRIX; CHARACTERISTICS POLYNOMIALS; QUASI-ORDERING;

TREES (MATHEMATICS);

EID: 20444486195     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2004.11.001     Document Type: Article

References (15)

1. D.M. Cvetković, M. Doob, and H. Sachs Spectra of Graphs 1980 Academic Press New York
2. I. Gutman The energy of a graph Ber. Math. -Statist. Sekt. Forschungszentrum Graz 103 1978 1 22
3. I. Gutman, and O.E. Polansky Mathematical Concepts in Organic Chemistry 1986 Springer Berlin
4. I. Gutman Acyclic systems with extremal Hückel π -electron energy Theoret. Chim. Acta (Berlin) 45 1977 79 87
5. I. Gutman Acyclic conjugated molecules, trees and their energies J. Math. Chem. 1 1987 123 143
6. I. Gutman, and Y. Hou Bipartite unicyclic graphs with greatest energy MATCH Commun. Math. Comput. Chem. 43 2001 17 28
7. Y. Hou Unicyclic graphs with minimal energy J. Math. Chem. 29 2001 163 168
8. Y. Hou Bicyclic graphs with minimal energy Linear Multilinear Algebra 49 2002 347 354
9. Y. Hou, I. Gutman, and C.-W. Wou Unicyclic graphs with maximal energy Linear Algebra Appl. 356 2002 27 36
10. H. Li On minimal energy ordering of acyclic conjugated molecules J. Math. Chem. 25 1999 145 169
11. J. Rada, and A. Tineo Polygonal chains with minimal energy Linear Algebra Appl. 372 2003 333 344
12. F. Zhang, and H. Li On acyclic conjugated molecules with minimal energies Discrete Appl. Math. 92 1999 71 84
13. F. Zhang, Z. Li, and L. Wang Hexagonal chains with minimal total π -energy Chem. Phys. Lett. 337 2001 125 130
14. F. Zhang, Z. Li, and L. Wang Hexagonal chains with maximal total π -energy Chem. Phys. Lett. 337 2001 131 137
15. E.A. Brualdi, and J.L. Goldwasser Permanent of the Laplacian matrix of trees and bipartite graphs Discrete Math. 48 1984 1 21