Classification of 2-arc-transitive dihedrants
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Publication:958694
DOI10.1016/j.jctb.2008.02.007zbMath1183.05035OpenAlexW2039037266MaRDI QIDQ958694
Dragan Marušič, Aleksander Malnič, Shao-Fei Du
Publication date: 8 December 2008
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jctb.2008.02.007
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Cites Work
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- Two-arc transitive graphs and twisted wreath products
- 2-arc-transitive regular covers of complete graphs having the covering transformation group \(Z^{3}_{p}\)
- 2-transitive and antiflag transitive collineation groups of finite projective spaces
- A classification of regular \(t\)-balanced Cayley maps on dihedral groups
- Distance-regular Cayley graphs on dihedral groups
- Finite vertex primitive 2-arc regular graphs
- Generating all graph coverings by permutation voltage assignments
- On finite affine 2-arc transitive graphs
- Group actions, coverings and lifts of automorphisms
- Automorphisms of graphs and coverings
- On 2-arc-transitivity of Cayley graphs
- \(s\)-regular cyclic coverings of the three-dimensional hypercube \(Q_{3}\).
- Infinitely many finite one-regular graphs of any even valency.
- \(s\)-regular dihedral coverings of the complete graph of order 4
- On \(2\)-arc-transitive covers of complete graphs
- Lifting graph automorphisms by voltage assignments
- Voltage graphs
- On finite \(s\)-transitive graphs of odd order
- A classification of 2-arc-transitive circulants
- Finite 2-arc-transitive abelian Cayley graphs
- Non-normal one-regular and 4-valent Cayley graphs of dihedral groups \(D_{2n}\)
- Corrigendum to ``On 2-arc-transitivity of Cayley graphs [J. Combin. Theory Ser. B 87 (2003) 162--196]
- One-regular normal Cayley graphs on dihedral groups of valency 4 or 6 with cyclic vertex stabilizer
- Vertex-transitive graphs
- Antipodal covering graphs
- The finite vertex-primitive and vertex-biprimitive $s$-transitive graphs for $s\ge 4$
- Finite s -Arc Transitive Graphs of Prime-Power Order
- On the Symmetry of Cubic Graphs
- An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
- Finite Permutation Groups and Finite Simple Groups
- Fintte two-arc transitive graphs admitting a suzuki simple group
- Finite two-are transitive graphs admitting a ree simple group
- A classification of semisymmetric graphs of order 2pq
- Endliche Gruppen I