| Title:
|
The remarkable generalized Petersen graph $G(8,3)$ (English) |
| Author:
|
Marušič, Dragan |
| Author:
|
Pisanski, Tomaž |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2000 |
| Pages:
|
117-121 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05C25 |
| idZBL:
|
Zbl 0984.05044 |
| idMR:
|
MR1763113 |
| . |
| Date available:
|
2009-09-25T11:43:04Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133137 |
| . |
| Reference:
|
[1] BETTEN A.-BRINKMANN G.-PISANSKI T.: Counting symmetric v3 configurations.(Submitted). |
| Reference:
|
[2] BIGGS N.: Algebraic Graph Theory.(2nd ed.), Cambridge Univ. Press, Cambridge, 1993. MR 1271140 |
| Reference:
|
[3]
: The Foster Census.(I. Z. Bouwer et al, eds.), The Charles Babbage Research Centre, Winnipeg, 1988. Zbl 0639.05043, MR 0935537 |
| Reference:
|
[4] COXETER H. S. M.-MOSER W. O. J.: Generators and Relators for Discrete Groups.(4th ed.). Ergeb. Math. Grenzgeb. (3), Bd. 14, Springer-Verlag, Berlin-Heidelberg-New York, 1980. MR 0562913 |
| Reference:
|
[5] DU S. F.-MARUŠIČ D.-WALLER A. O.: On 2-arc-transitive covers of complete graphs.J. Combin. Theory Ser. B 74 (1998), 276-290. Zbl 1026.05057, MR 1654121 |
| Reference:
|
[6] FRUCHT R.-GRAVER J. E.-WATKINS M. E.: The groups of the generalized Petersen graphs.Proc. Cambridge Pnilos. Soc. 70 (1971), 211-218. Zbl 0221.05069, MR 0289365 |
| Reference:
|
[7] HLADNIK M.-MARUŠIČ D.-PISANSKI T.: Cyclic Haar graphs.(Submitted). Zbl 0993.05084 |
| Reference:
|
[8] GROPP H.: Configurations.In: The CRC Handbook of Combinatorial Designs (C J. Colburn, J. H. Dinitz, eds.), CRC Press Ser. on Discr. Math, and its Appl., CRC Press, Boca Raton, CA, 1996, pp. 253-255. Zbl 0864.05024, MR 1392993 |
| Reference:
|
[9] LOVREČIČ-SARAŽIN M.: A note on the generalized Petersen graphs that are also Cayley graphs.J. Combin. Theory Ser. B 69 (1997), 226-229. Zbl 0867.05027, MR 1438623 |
| Reference:
|
[10] NEDELA R.-ŠKOVIERA M.: Which generalized Petersen graphs are Cayley graphs.J. Graph Theory 19 (1995), 1-11. Zbl 0812.05026, MR 1315420 |
| Reference:
|
[11] PISANSKI T.-RANDIČ M.: Bridges between Geometry and Graph Theory.(To appear). MR 1782654 |
| Reference:
|
[12] ŠKOVIERA M.-ŠIRÁŇ J.: Regular maps from Cayley graphs, Part 1: Balanced Cayley maps.Discrete Math. 109 (1992), 265-276. MR 1192388 |
| Reference:
|
[13] SUROWSKI D.: The Möbius-Kantor regular map of genus two and regular Ramified coverings.Presented at SIGMAC 98, Flagstaff, AZ, July 20-24, 1998, http://odin.math.nau.edu:80/~sew/sigmac.html. |
| Reference:
|
[14] TUCKER T. W.: There is only one group of genus two.J. Combin. Theory Ser. B 36 (1984), 269-275. MR 0753604 |
| . |
