Large sets of noncospectral graphs with equal laplacian energy

Match

Volumn 61, Issue 2, 2009, Pages 463-470

  Stevanović, Dragan ^a,b  

^a UNIVERSITY OF PRIMORSKA   (Slovenia)

^b UNIVERSITY OF NI   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67249088024     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. D. Cvetković, M. Doob and H. Sachs, Spectra of Graphs-Theory and Application, 3rd edition, Johann Ambrosius Barth Verlag, 1995.
2. I. Gutman, The energy of a graph, Ber. Math.Statist. Sekt. Forschungsz. Graz 103 (1978), 1-22.
3. I. Gutman, Total π-electron energy of benzenoid hydrocarbons, Topics Curr. Chem. 162 (1992), 29-63.
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, SpringerVerlag, 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.
6. I. Gutman, B. Zhou, Laplacian energy of a graph, Linear Algebra Appl. 414 (2006), 29-37.
7. H. Wang, H. Hua, Note on Laplacian Energy of Graphs, MATCH Commun. Math. Comput. Chem. 59 (2008), 373-380.
8. T. Aleksić, Upper Bounds for Laplacian Energy of Graphs, MATCH Commun. Math. Comput. Chem. 60 (2008), 435-439.
9. B. Zhou, I. Gutman, T. Aleksić, A Note on Laplacian Energy of Graphs, MATCH Commun. Math. Comput. Chem. 60 (2008), 441-446.
10. N.M.M. de Abreu, CT.M. Vinagre, A.S. Bonifacio, I. Gutman, The Laplacian Energy of Some Laplacian Integral Graphs, MATCH Commun. Math. Comput. Chem. 60 (2008), 447-460.
11. G. Indulal, I. Gutman, A. Vijayakumar, On Distance Energy of Graphs MATCH Commun. Math. Comput. Chem. 60 (2008), 461-472.
12. H.S. Ramane, I. Gutman, D.S. Revankar, Distance Equienergetic Graphs, MATCH Commun. Math. Comput. Chem. 60 (2008), 473-484.
13. J. Liu, B. Liu, A Laplacian-Energy-Like Invariant of a Graph, MATCH Commun. Math. Comput. Chem. 59 (2008), 355-372.
14. D. Stevanović, Laplacian-like energy of trees, MATCH Commun. Math. Comput. Chem. 61 (2009), 407-417.
15. D. Stevanović, A. Ilić, Maximum Laplacian-like energy of unicyclic graphs, preprint.
16. A. Ilić, D. Stevanović, Minimum Laplacian-like energy of unicyclic graphs, preprint.
17. V. Nikiforov, The energy of graphs and matrices, J. Math. Anal. Appl. 326 (2007), 1472-1475.
18. V. Brankov, D. Stevanović, I. Gutman, Equienergetic chemical trees, J. Serb. Chem. Soc. 69 (2004), 549-554.
19. R. Balakrishnan, The energy of a graph, Linear Algebra Appl. 387 (2004), 287-295.
20. H.S. Ramane, H.B. Walikar, S.B. Rao, B.D. Acharya, I. Gutman, P.R. Hampiholi, S.R. Jog, Equienergetic graphs, Kragujevac. J. Math. 26 (2004), 5-13.
21. D. Stevanović, Energy and NEPS of graphs, Linear Multilinear Algebra 53 (2005), 67-74.
22. 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.
23. G. Indulal, A. Vijayakumar, On a pair of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 55 (2006), 83-90.
24. H.S. Ramane, H.B. Walikar, Construction of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 57 (2007), 203-210.
25. L. Xu, Y. Hou, Equienergetic bipartite graphs, MATCH Commun. Math. Comput. Chem. 57 (2007), 363-370.
26. G. Indulal, A. Vijayakumar, A Note on Energy of Some Graphs, MATCH Commun. Math. Comput. Chem. 59 (2008), 269-274.
27. J. Liu, B. Liu, Note on a Pair of Equienergetic Graphs, MATCH Commun. Math. Comput. Chem. 59 (2008), 275-278.
28. R. Merris, Degree maximal graphs are Laplacian integral, Linear Algebra Appl. 199 (1994), 381-389.