Equienergetic and almost-equienergetic trees

Match

Volumn 61, Issue 2, 2009, Pages 451-461

  Miljković, Olga ^a   Furtula, Boris ^a   Radenković, Slavko ^a   Gutman, Ivan ^a  

^a UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67249120544     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. D. Cvetković, M. Doob, H. Sachs, Spectra of Graphs -Theory and Application, Academic Press, New York, 1980.
2. D. Cvetković, M. Doob, I. Gutman, A. Torgašev, Recent Results in the Theory of Graph Spectra, Elsevier, Amsterdam, 1988.
3. I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, Berlin, 1986.
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. 196-211.
5. I. Gutman, Topology and stability of conjugated hydrocarbons. The dependence of total π-electron energy on molecular topology, J. Serb. Chem. Soc. 70 (2005) 441-456. (Pubitemid 43166585)
6. I. Gutman, X. Li, J. Zhang, Graph energy, in: M. Dehmer, F. Emmert-Streib (Eds.), Analysis of Complex Networks. From Biology to Linguistics, Wiley-VCH, Weinheim, in press.
7. R. Balakrishnan, The energy of a graph, Lin. Algebra Appl. 387 (2004) 287-295.
8. V. Brankov, D. Stevanović, I. Gutman, Equienergetic chemical trees, J. Serb. Chem. Soc. 69 (2004) 549-553.
9. H. S. Ramane, H. B. Walikar, S. B. Rao, B. D. Acharya, P. R. Hampiholi, S. R. Jog, I. Gutman, Equienergetic graphs, Kragujevac J. Math. 26 (2004) 5-13.
10. H. S. Ramane, I. Gutman, H. B. Walikar, S. B. Halkarni, Another class of equienergetic graphs, Kragujevac J. Math. 26 (2004) 15-18.
11. H. S. Ramane, H. B. Walikar, S. B. Rao, B. D. Acharya, P. R. Hampiholi, S. R. Jog, I. Gutman, Spectra and energies of iterated line graphs of regular graphs, Appl. Math. Lett. 18 (2005) 679-682. (Pubitemid 40423885)
12. H. S. Ramane, I. Gutman, H. B. Walikar, S. B. Halkarni, Equienergetic complement graphs, Kragujevac J. Sci. 27 (2005) 67-74.
13. G. Indulal, A. Vijayakumar, On a pair of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 55 (2006) 83-90.
14. H. S. Ramane, H. B. Walikar, Construction of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 203-210.
15. L. Xu, Y. Hou, Equienergetic bipartite graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 363-370.
16. G. Indulal, A. Vijayakumar, Classes of Türker equivalent graphs, Graph Theory Notes New York 53 (2007) 30-36.
17. W. López, J. Rada, Equienergetic digraphs, Int. J. Pure Appl. Math. 36 (2007) 361-372.
18. G. Indulal, A. Vijayakumar, A note on energy of some graphs, MATCH Commun. Math. Comput. Chem. 59 (2008) 269-274.
19. J. Liu, B. Liu, Note on a pair of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 59 (2008) 275-278.
20. A. S. Bonifácio, C. T. M. Vinagre, N. M. M. de Abreu, Constructing pairs of equienergetic and non-cospectral graphs, Appl. Math. Lett. 21 (2008) 338-341.
21. H. S. Ramane, I. Gutman, D. S. Revankar, Distance equienergetic graphs, MATCH Commun. Math. Comput. Chem. 60 (2008) 473-484.
22. G. Indulal, A. Vijayakumar, Equienergetic self-complementary graphs, Czech. Math. J., in press.
23. C. K. Li, W. So, Construction of graphs with equienergetic subgraphs, Lin. Multilin. Algebra, in press.
24. I. Gutman, B. Zhou, Laplacian energy of a graph, Lin. Algebra Appl. 414 (2006) 29-37. (Pubitemid 43276489)
25. B. Zhou, I. Gutman, On Laplacian energy of graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 211-220.
26. J. Liu, B. Liu, S. Radenković, I. Gutman, Minimal LEL-equienergetic graphs, MATCH Commun. Math. Comput. Chem. 61 (2009) 000-1000 (subsequent paper).