Distance equienergetic graphs

Match

Volumn 60, Issue 2, 2008, Pages 473-484

  Ramane, H S ^a   Gutman, I ^b   Revankar, D S ^a  

^a GOGTE INSTITUTE OF TECHNOLOGY   (India)

^b UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54349121578     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. R. Balakrishnan, The energy of a graph, Lin. Algebra Appl. 387 (2004) 287-295.
2. A. S. Bonifacio, C. T. M. Vinagre, N. M. M. de Abreu, Constructing pairs of equienergetic and non-cospectral graphs, Appl. Math. Lett. (in press).
3. V. Brankov, D. Stevanović, I. Gutman, Equienergetic chemical trees, J. Serb. Chem. Soc., 69 (2004) 549-553.
4. F. Buckley, F. Harary, Distance in Graphs, Addison-Wesley, Redwood, 1990.
5. D. M. Cvetković, M. Doob, I. Gutman, A. Torgašev, Recent Results in the Theory of Graph Spectra, North-Holland, Amsterdam, 1988.
6. D. M. Cvetković, M. Doob, H. Sachs, Spectra of Graphs, Academic Press, New York, 1980.
7. M. Edelberg, M. R. Garey, R. L. Graham, On the distance matrix of a tree, Discr. Math., 14 (1976) 23-39.
8. R. L. Graham, L. Lovász, Distance matrix polynomial of trees, Adv. Math., 29 (1978) 60-88.
9. R. L. Graham, H. O. Pollak, On the addressing problem for loop switching, Bell System Tech. J. 50 (1971) 2495-2519.
10. I. Gutman, The energy of a graph, Ber. Math. Stat. Sekt. Forschungsz. Graz 103 (1978) 1-22.
11. I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, Berlin, 1986.
12. F. Harary, Graph Theory, Addison-Wesley, Reading, 1969.
13. A. J. Hoffman, M. H. McAndrew, The polynomial of a directed graph, Proc. Amer. Math. Soc. 16 (1965) 303-309.
14. H. Hosoya, M. Murakami, M. Gotoh, Distance polynomial and characterization of a graph, Nat. Sci. Rept. Ochanumizu Univ. 24 (1973) 27-34.
15. G. Indulal, I. Gutman, A. Vijaykumar, On the distance energy of a graph, MATCH Commun. Math. Comput. Chem. (to appear).
16. G. Indulal, A. Vijaykumar, On a pair of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 55 (2006) 83-90.
17. G. Indulal, A. Vijaykumar, Equienergetic self-complementary graphs, Czechoslovak Math. J. (to appear).
18. J. Liu, B. Liu, On a pair of equienergetic graphs, MATCH Commun. Math. Comput. Chem. (in press).
19. H. S. Ramane, I. Gutman, H. B. Walikar, S. B. Halkarni, Equienergetic complement graphs, Kragujevac J. Sci. 27 (2005) 67-74.
20. H. S. Ramane, D. S. Revankar, I. Gutman, S. B. Rao, B. D. Acharya, H. B. Walikar, Bounds for the distance energy of a graph, Kragujevac J. Math. (to appear).
21. H. S. Ramane, D. S. Revankar, I. Gutman, S. B. Rao, B. D. Acharya, H. B. Walikar, Estimating the distance energy of graphs, Graph Theory Notes, New York (to appear).
22. H. S. Ramane, D. S. Revankar, I. Gutman, H. B. Walikar, D-spectra and D-energy of iterated line graphs of regular graphs - construction of D-equienergteic graphs, (preprint).
23. H. S. Ramane, H. B. Walikar, Construction of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 203-210.
24. 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.
25. 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.
26. D. Stevanović, Energy and NEPS of graphs, Lin. Multilin. Algebra 53 (2005) 67-74.
27. H. B. Walikar, H. S. Ramane, I. Gutman, S. B. Halkarni, On equienergetic graphs and molecular graphs, Kragujevac J. Sci. 29 (2007) 73-84.
28. L. Xu, Y. Hou, Equienergetic bipartite graphs, MATCH Commun. Math. Comput. Chem. 57 (2007) 363-370.
29. B. Zhou, On the largest eigenvalue of the distance matrix of a tree, MATCH Commun. Math. Comput. Chem. 58 (2007) 657-662.