The fourth maximal energy of acyclic graphs

Match

Volumn 61, Issue 2, 2009, Pages 383-394

  Li, Shuchao ^a   Li, Xuechao ^b  

^a CENTRAL CHINA NORMAL UNIVERSITY   (China)

^b UNIVERSITY OF GEORGIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 63049134929     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. D Cvetković, M. Doob, H. Sachs, Spectra of Graphs - Theory and Applications, Academic Press, New York, 1980.
2. I. Gutman, Acyclic systems with extremal Hückel π-electron energy, Theoret. Chim. Acta. 45 (1977) 79-37.
3. I. Gutman, S. Radenkovic, N. Li and S. Li, Extremal energy trees, MATCH Commun. Math. Comput. Chem. 59 (2008) 315-320.
4. I. Gutman. The energy of a graph: old and new results, in: A. Betten, A. Kohnert, R. Laue, A. Wassermann (Eds.), Algebraic Combinatorics and Applications, Springer-Verlag. Berlin. 2001, pp. 196211.
5. I. Gutman, O.E. Polansky, Mathatical Concepts in Organic Chemistry, Springer. Berlin, 1986.
6. I. Gutman, B. Furtula, H. Hua, Bipartite unicyclic graphs with maximal, second-maximal, and thirdmaximal energy, MATCH Commun. Math. Comput. Chem. 58 (2007) 85-92.
7. H. Hua, On minimal energy of unicyclic graphs with prescribed girth and pendent vertices. MATCH Commun. Math. Comput. Chem. 57 (2007) 351-361.
8. H. Hua. Bipartite unicyclic graphs with large energy, MATCH Commun. Math. Comput. Chem. 58 (2007) 57-83.
9. N. Li and S. Li, On the Extremal Energies of Trees, MATCH Commun. Math. Comput. Chem. 59 (2008) 291-314.
10. S. Li, X. Li, and Z. Zhu, On tricyclic graphs with minimal energy, MATCH Commun. Math. Comput. Chem. 59 (2008)397-419.
11. S. Li. X. Li. and Z. Zhu, Minimal energies and Hosoya indices of unicyclic graphs, Accepted by MATCH Commun. Math. Comput. Chem.
12. S. Li, Z. Zhu, Minimal energies and Hosoya indices of bicyclic graphs, preprint.
13. W. Yan, L. Ye, On the minimal energy of trees with a given diameter, Appl. Math. Lett. 18 (2005) 1046-1052.
14. W. Yan, L. Ye, On the maximal energy and the Hosoya index of a type of trees with many pendent vertices, MATCH Commun. Math. Comput. Chem. 53 (2005) 449-459.
15. L. Ye, X. Yuan, On the minimal energy of trees with a given number of pendent vertices, MATCH Commun. Math. Comput. Chem. 57 (2007) 193-201.
16. L. Ye, X. Yuan, On the minimal energy of trees with a given number of pendent vertices, MATCH Commun. Math. Comput. Chem. 57 (2007) 193-201.
17. A. Yu, X. Lv, Minimum energy on trees with k pendent vertices, Linear Algebra Appl. 414 (2006) 625-633.
18. F.J. Zhang, H.E. Li, On acyclic conjugated molecules with minimal energies, Discr. Appl. Math. 92 (1999) 71-84.
19. F.J. Zhang, H.E. Li, On maximal energy ordering of acyclic conjugated molecules, in. P. Hansen, P, Fowler, M. Zheng (Eds.), Discrete Mathematical Chemistry, Am. Math. Soc., Providence, 2000, pp. 385-392.
20. J. Zhang, B. Zhou, On bicyclic graphs with minimal energies. J. Math, Chem. 37 (2005) 423-431.
21. B. Zhou and F. Li, On minimal energies of trees of a prescribled diameter. J. Math. Chem. 39 (2006) 465-473.