Equienergetic self-complementary graphs

G. Indulal; A. Vijayakumar

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 4, page 911-919
  • ISSN: 0011-4642

Abstract

top
In this paper equienergetic self-complementary graphs on p vertices for every p = 4 k , k ≥ 2 and p = 24 t + 1 , t ≥ 3 are constructed.

How to cite

top

Indulal, G., and Vijayakumar, A.. "Equienergetic self-complementary graphs." Czechoslovak Mathematical Journal 58.4 (2008): 911-919. <http://eudml.org/doc/37876>.

@article{Indulal2008,
abstract = {In this paper equienergetic self-complementary graphs on $p$ vertices for every $p=4k$, $k \ge 2$ and $p=24t+1$, $t \ge 3$ are constructed.},
author = {Indulal, G., Vijayakumar, A.},
journal = {Czechoslovak Mathematical Journal},
keywords = {spectrum; self-complementary graph; energy of graphs; spectrum; self-complementary graph; energy of graphs},
language = {eng},
number = {4},
pages = {911-919},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Equienergetic self-complementary graphs},
url = {http://eudml.org/doc/37876},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Indulal, G.
AU - Vijayakumar, A.
TI - Equienergetic self-complementary graphs
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 911
EP - 919
AB - In this paper equienergetic self-complementary graphs on $p$ vertices for every $p=4k$, $k \ge 2$ and $p=24t+1$, $t \ge 3$ are constructed.
LA - eng
KW - spectrum; self-complementary graph; energy of graphs; spectrum; self-complementary graph; energy of graphs
UR - http://eudml.org/doc/37876
ER -

References

top
  1. Balakrishnan, R., A Text Book of Graph Theory, Springer (2000). (2000) MR1743598
  2. Balakrishnan, R., 10.1016/j.laa.2004.02.038, Linear Algebra Appl. 387 (2004), 287-295. (2004) Zbl1041.05046MR2069280DOI10.1016/j.laa.2004.02.038
  3. Coulson, C. A., [unknown], Proc. Cambridge Phil. Soc. 36 (1940), 201-203. (1940) Zbl0027.37606
  4. Cvetkovic, D. M., Doob, M., Sachs, H., Spectra of Graphs-Theory and Applications, Academic Press (1980). (1980) MR0572262
  5. Stevanovi'c, D., 10.1080/03081080410001714705, Linear Multilinear Algebra 53 (2005), 67-74. (2005) MR2114142DOI10.1080/03081080410001714705
  6. Farrugia, A., Self-complementary graphs and generalisations: A comprehensive reference manual, M. Sc. Thesis, University of Malta (1999). (1999) 
  7. Gutman, I., The energy of a graph, Ber. Math. Statist. Sekt. Forschungszenturm Graz 103 (1978), 1-22. (1978) Zbl0402.05040MR0525890
  8. Gutman, I., The energy of a graph: old and new results, A. Betten, A. Kohnert, R. Laue, A. Wassermann Algebraic Combinatorics and Applications, Springer (2000), 196-211. (2000) MR1851951
  9. Gutman, I., 10.2298/JSC0503441G, J. Serb. Chem. Soc. 70 (2005), 441-456. (2005) DOI10.2298/JSC0503441G
  10. Indulal, G., Vijayakumar, A., On a pair of equienergetic graphs, MATCH Commun. Math. Comput. Chem. 55 (2006), 83-90. (2006) Zbl1106.05061MR2207922
  11. Indulal, G., Vijayakumar, A., 10.1007/s10910-006-9108-7, J. Math. Chem 42 (2007), 377-386. (2007) MR2372217DOI10.1007/s10910-006-9108-7
  12. Ramane, H. S., Gutman, I., Walikar, H. B., Halkarni, S. B., Another class of equienergetic graphs, Kragujevac. J. Math. 26 (2004), 15-18. (2004) Zbl1079.05057MR2125353

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.