| Title:
|
Equienergetic self-complementary graphs (English) |
| Author:
|
Indulal, G. |
| Author:
|
Vijayakumar, A. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
58 |
| Issue:
|
4 |
| Year:
|
2008 |
| Pages:
|
911-919 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper equienergetic self-complementary graphs on $p$ vertices for every $p=4k$, $k \geq 2$ and $p=24t+1$, $t \geq 3$ are constructed. (English) |
| Keyword:
|
spectrum |
| Keyword:
|
self-complementary graph |
| Keyword:
|
energy of graphs |
| MSC:
|
05C50 |
| idZBL:
|
Zbl 1174.05077 |
| idMR:
|
MR2471156 |
| . |
| Date available:
|
2010-07-21T08:04:54Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140430 |
| . |
| Reference:
|
[1] Balakrishnan, R.: A Text Book of Graph Theory.Springer (2000). MR 1743598 |
| Reference:
|
[2] Balakrishnan, R.: The energy of a graph.Linear Algebra Appl. 387 (2004), 287-295. Zbl 1041.05046, MR 2069280, 10.1016/j.laa.2004.02.038 |
| Reference:
|
[3] Coulson, C. A.: .Proc. Cambridge Phil. Soc. 36 (1940), 201-203. Zbl 0027.37606 |
| Reference:
|
[4] Cvetkovic, D. M., Doob, M., Sachs, H.: Spectra of Graphs-Theory and Applications.Academic Press (1980). MR 0572262 |
| Reference:
|
[5] Stevanovi'c, D.: Energy and NEPS of graphs.Linear Multilinear Algebra 53 (2005), 67-74. MR 2114142, 10.1080/03081080410001714705 |
| Reference:
|
[6] Farrugia, A.: Self-complementary graphs and generalisations: A comprehensive reference manual.M. Sc. Thesis, University of Malta (1999). |
| Reference:
|
[7] Gutman, I.: The energy of a graph.Ber. Math. Statist. Sekt. Forschungszenturm Graz 103 (1978), 1-22. Zbl 0402.05040, MR 0525890 |
| Reference:
|
[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. MR 1851951 |
| Reference:
|
[9] Gutman, I.: Topology and stability of conjugated hydrocarbons. The dependence of total $\pi$-electron energy on molecular topology.J. Serb. Chem. Soc. 70 (2005), 441-456. 10.2298/JSC0503441G |
| Reference:
|
[10] Indulal, G., Vijayakumar, A.: On a pair of equienergetic graphs.MATCH Commun. Math. Comput. Chem. 55 (2006), 83-90. Zbl 1106.05061, MR 2207922 |
| Reference:
|
[11] Indulal, G., Vijayakumar, A.: Energies of some non-regular graphs.J. Math. Chem 42 (2007), 377-386. MR 2372217, 10.1007/s10910-006-9108-7 |
| Reference:
|
[12] Ramane, H. S., Gutman, I., Walikar, H. B., Halkarni, S. B.: Another class of equienergetic graphs.Kragujevac. J. Math. 26 (2004), 15-18. Zbl 1079.05057, MR 2125353 |
| . |
