Title:
|
Partial line graph operator and half-arc-transitive group actions (English) |
Author:
|
Marušič, Dragan |
Author:
|
Nedela, Roman |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
51 |
Issue:
|
3 |
Year:
|
2001 |
Pages:
|
241-257 |
. |
Category:
|
math |
. |
MSC:
|
05C25 |
MSC:
|
20B25 |
idZBL:
|
Zbl 0984.05045 |
idMR:
|
MR1842312 |
. |
Date available:
|
2009-09-25T11:51:47Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132909 |
. |
Reference:
|
[1] BIGGS N.-WHITE A. T.: Permutation Groups and Combinatorial Structures.Cambridge University Press, Cambridge, 1979. Zbl 0415.05002, MR 0540889 |
Reference:
|
[2] BONDY A.-MURTY U. S. R.: Graph Theory with Applications.American Elsevier, New York, 1976. Zbl 1226.05083, MR 0411988 |
Reference:
|
[3] COXETER H. S. M.-MOSER W. O. J.: Generators and Relations for Discrete Groups.Springer-Verlag, New York, 1972. Zbl 0239.20040, MR 0349820 |
Reference:
|
[4] DIXON J. D.-MORTIMER B.: Permutation Groups.Springer-Verlag, New York, 1996. Zbl 0951.20001, MR 1409812 |
Reference:
|
[5] MARUSIC D.: Half-transitive group actions on finite graphs of valency 4.J. Combin. Theory Ser. B 73 (1998), 41-76. Zbl 0924.05034, MR 1620595 |
Reference:
|
[6] MARUSIC D.: Recent developments in half-transitive graphs.Discrete Math. 182 (1998), 219-231. Zbl 0891.05036, MR 1603691 |
Reference:
|
[7] MARUSlC D.: Half-arc-transitive graphs of valency 4 with large vertex stabilizers.(Submitted). |
Reference:
|
[8] MARUSIC D.-NEDELA R.: Finite graphs of valency 4 and girth 4 admitting half-transitive group actions.(Submitted). Zbl 1017.05048 |
Reference:
|
[9] MARUSlC D.-NEDELA R.: On the point stabilizers of transitive groups with non-self-paired suborbits of length 2.J. Group Theory 4 (2001), 19-43. MR 1808836 |
Reference:
|
[10] NEUMANN P. M.: Finite permutation groups, edge-coloured graphs and matrices.In: Topics in Group Theory and Computation (Proc. Summer School, University Coll., Galway, 1973), Academic Press, London, 1977, pp. 82-118. MR 0472974 |
Reference:
|
[11] SIMS C. C.: Graphs and finite permutation groups II.Math. Z. 103 (1968), 276-281. Zbl 0259.20003, MR 0225865 |
Reference:
|
[12] TUTTE W. T.: A family of cubical graphs.Math. Proc. Cambridge Philoc. Soc. 43 (1948), 459-474. MR 0021678 |
Reference:
|
[13] WIELANDT H.: Finite Permutation Groups.Academic Press, New York, 1964. Zbl 0138.02501, MR 0183775 |
Reference:
|
[14] WONG W. J.: Determination of a class of primitive permutation groups.Math. Z. 99 (1967), 235-246. Zbl 0189.31204, MR 0214653 |
. |