Note on unicyclic graphs with given number of pendent vertices and minimal energy

Linear Algebra and Its Applications

Volumn 433, Issue 7, 2010, Pages 1381-1387

  Huo, Bofeng ^a,b   Ji, Shengjin ^a   Li, Xueliang ^a  

^a NANKAI UNIVERSITY   (China)

^b QINGHAI NORMAL UNIVERSITY   (China)

Author keywords

Coulson integral formula; Minimal energy; Unicyclic graph

Indexed keywords

ABSOLUTE VALUES; ADJACENCY MATRICES; CHARACTERISTIC POLYNOMIALS; EIGENVALUES; GRAPH G; INTEGRAL FORMULAS; MINIMAL ENERGY; OPEN PROBLEMS; UNICYCLIC GRAPH;

EIGENVALUES AND EIGENFUNCTIONS; GRAPHIC METHODS;

GRAPH THEORY;

EID: 77955558632     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2010.05.017     Document Type: Article

References (24)

1. A. Chen, A. Chang, and W.C. Shiu Energy ordering of unicyclic graphs MATCH Commun. Math. Comput. Chem. 55 2006 95 102
2. C.A. Coulson On the calculation of the energy in unsaturated hydrocarbon molecules Proc. Cambridge Phil. Soc. 36 1940 201 203
3. I. Gutman Acylclic systems with extremal Hückel π-electron energy Theor. Chim. Acta 45 1977 79 87
4. I. Gutman Acylclic conjugated molecules, trees and their energies J. Math. Chem. 1 1987 123 143
5. I. Gutman The energy of a graph: old and new results A. Betten, A. Kohnert, R. Laue, A. Wassermann, Algebraic Combinatorics and Applications 2001 Springer-Verlag Berlin 196 211
6. I. Gutman, and O.E. Polansky Mathematical Concepts in Organic Chemistry 1986 Springer-Verlag Berlin
7. Y. Hou Unicyclic graphs with minimal energy J. Math. Chem. 29 2001 163 168
8. Y. Hou Bicyclic graphs with minimal energy Linear and Multilinear Algebra 49 2001 347 354
9. Y. Hou, I. Gutman, and C. Woo Unicyclic graphs with maximal energy Linear Algebra Appl. 356 2002 27 36
10. H. Hua On minimal energy of unicyclic graphs with prescribed girth and pendent vertices MATCH Commun. Math. Comput. Chem. 57 2007 351 361
11. H. Hua Bipartite unicyclic graphs with large energy MATCH Commun. Math. Comput. Chem. 58 2007 57 73
12. H. Hua, and M. Wang Unicyclic graphs with given number of pendent vertices and minimal energy Linear Algebra Appl. 426 2007 478 489
13. B. Huo, X. Li, Y. Shi, L. Wang, Determining the conjugated trees with the third through the sixth minimal energies, MATCH Commun. Math. Comput. Chem., in press.
14. S. Li, X. Li, and Z. Zhu On minimal energy and Hosoya index of unicyclic graphs MATCH Commun. Math. Comput. Chem. 61 2009 325 339
15. X. Li, and J. Zhang On bicyclic graphs with maximal energy Linear Algebra Appl. 427 2007 87 98
16. X. Li, J. Zhang, and L. Wang On bipartite graphs with minimal energy Discrete Appl. Math. 157 2009 869 873
17. X. Li, J. Zhang, and B. Zhou On unicyclic conjugated molecules with minimal energies J. Math. Chem. 42 2007 729 740
18. W. Lin, X. Guo, and H. Li On the extremal energies of trees with a given maximum degree MATCH Commun. Math. Comput. Chem. 54 2005 363 378
19. Y. Liu Some results on energy of unicyclic graphswith n vertices J. Math Chem. 47 2010 1 10
20. Z. Liu, and B. Zhou Minimal energies of bipartite bicyclic graphs MATCH Commun. Math. Comput. Chem. 59 2008 381 396
21. H. Shan, J. Shao, S. Li, and X. Li On a conjecture on the tree with fourth greatest energy MATCH Commun. Math. Comput. Chem. 64 2009 181 188
22. W. Wang, A. Chang, L. Zhang, and D. Lu Unicyclic Hückel molecular graphs with minimal energy J. Math. Chem. 39 2006 231 241
23. Y. Yang, and B. Zhou Minimal energy of bicyclic graphs of a given diameter MATCH Commun. Math. Comput. Chem. 59 2008 321 342
24. F. Zhang, and Z. Lai Three theorems of comparison of trees by their energy Science Exploration 3 1983 12 19