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Finite edge-transitive dihedrant graphs
- Source :
-
Discrete Mathematics . Mar2012, Vol. 312 Issue 5, p1006-1012. 7p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper, we first prove that each biquasiprimitive permutation group containing a regular dihedral subgroup is biprimitive, and then give a classification of such groups. The classification is then used to classify vertex-quasiprimitive and vertex-biquasiprimitive edge-transitive dihedrants. Moreover, a characterization of valencies of normal edge-transitive dihedrants is obtained, and some classes of examples with certain valences are constructed. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 312
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 70261900
- Full Text :
- https://doi.org/10.1016/j.disc.2011.11.001