On the distance spectra of some graphs

Mathematical Communications

Volumn 13, Issue 1, 2008, Pages 123-131

  Indulal, Gopalapillai ^a   Gutman, Ivan ^b  

^a St Aloysius College   (India)

^b UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

Distance eigenvalue (of a graph); Distance energy (of a graph); Distance spectrum (of a graph); Distance equienergetic graphs

Indexed keywords

EID: 54149099764     PISSN: 13310623     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. N. ALON, Eigenvalues and expanders, Combinatorica 6(1986), 83-96.
2. F. BUCKLEY, F. HARARY, Distance in Graphs, Addison-Wesley, Redwood, 1990.
3. Z. CHEN, Spectra of extended double cover graphs, Czechoslovak Math. J. 54(2004), 1077-1082.
4. D. M. CVETKOVIĆ, M. DOOB, H. SACHS, Spectra of Graphs-Theory and Applications, Academic Press, New York, 1980.
5. P. J. DAVIS, Circulant Matrices, Wiley, New York, 1979.
6. P. W. FOWLER, G. CAPOROSSI, P. HANSEN, Distance matrices, Wiener indices, and related invariants of fullerenes, J. Phys. Chem. A 105(2001), 6232-6242.
7. 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.
8. I. GUTMAN, On graphs whose energy exceeds the number of vertices, Lin. Algebra Appl., in press.
9. I. GUTMAN, S. ZARE FIROOZABADI, J. A. DE LA PEÑA, J. RADA, On the energy of regular graphs, MATCH Commun. Math. Comput. Chem. 57(2007), 435-442.
10. W. H. HAEMERS, Strongly regular graphs with maximal energy, Lin. Algebra Appl., in press.
11. G. INDULAL, I. GUTMAN, A. VIJAYAKUMAR, On distance energy of graphs, MATCH Commun. Math. Comput. Chem. 60(2008), in press.
12. G. INDULAL, A. VIJAYAKUMAR, On a pair of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 55(2006), 83-90.
13. G. INDULAL, A. VIJAYAKUMAR, A note on energy of some graphs, MATCH Commun. Math. Comput. Chem. 59(2008), 269-274.
14. X. LI, J. ZHANG, On bicyclic graphs with maximal energy, Lin. Algebra Appl. 427(2007), 87-98.
15. V. NIKIFOROV, The energy of graphs and matrices, J. Math. Anal. Appl. 326(2007), 1472-1475.
16. I. SHPARLINSKI, On the energy of some circulant graphs, Lin. Algebra Appl. 414(2006), 378-382.