The laplacian energy of some Laplacian integral graphs

Match

Volumn 60, Issue 2, 2008, Pages 447-460

  De Abreu, Nair Maria Maia ^a   Vinagre, Cybele T M ^b   Bonifácio, Andréa Soares ^a   Gutman, Ivan ^c  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

^c UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54349085855     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. D. Cvetković, D. Doob, H. Sachs, Spectra of Graphs - Theory and Application, Academic Press, New York, (1980).
2. J. A. de la Peña, L. Mendoza, Moments and π-electron energy of hexagonal systems in 3-space, MATCH Commun. Math. Comput. Chem. 56 (2006) 113-129.
3. I. Gutman, The energy of a graph, Ber. Math. Statist. Sekt. Forschungsz. Graz, 103 (1978) 1-22.
4. I. Gutman, Hyperenergetic molecular graphs, J. Serb. Chem. Soc. 64 (1999) 199-205.
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, N. M. M. de Abreu, C. T. M. Vinagre, A. S. Bonifácio, S. Radenković, Relations between energy and Laplacian energy, MATCH Commun. Math. Comput. Chem. 59 (2008) 343-354.
7. I. Gutman, L. Pavlović, The energy of some graphs with large number of edges, Bull. Acad. Serbe Sci. Arts (Cl. Math. Natur.) 118 (1999) 35-50.
8. I. Gutman, B. Zhou, Laplacian energy of a graph, Lin. Algebra Appl. 414 (2006) 29-37.
9. P. L. Hammer, A. K. Kelmans, Laplacian spectra and spanning trees of threshold graphs, Discrete Appl. Math. 65 (1996) 255-273.
10. Y. Hou, I. Gutman, Hyperenergetic line graphs, MATCH Commun. Math. Comput. Chem. 43 (2001) 29-39.
11. G. Indulal, A Vijayakumar, On a pair of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 55 (2006) 83-90.
12. N. V. R. Mahadev, U. N. Peled, Threshold Graphs and Related Topics, Elsevier, Amsterdam, 1995.
13. R. Merris, Degree maximal graphs are Laplacian integral, Lin. Algebra Appl. 199 (1994) 381-389.
14. R. Merris, Graph Theory, Wiley, New York. 2001.
15. R. Merris, T. Roby, The lattice of threshold graphs, J. Inequal. Pure Appl. Math. 6 (2005) article 2, 1-38.
16. H. S. Ramane, H. B. Walikar, Construction of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 203-210.
17. 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.
18. H. Wang, H. Hua, Note on Laplacian energy of graphs, MATCH Commun. Math. Comput. Chem. 59 (2008) 373-380.
19. L. Xu, Y. Hou, Equienergetic bipartite graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 363-370.
20. B. Zhou, I. Gutman, On Laplacian energy of graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 211-220.