Tetravalent half-edge-transitive graphs and non-normal Cayley graphs
From MaRDI portal
Publication:2888889
DOI10.1002/jgt.20610zbMath1242.05123OpenAlexW1524718528MaRDI QIDQ2888889
Publication date: 4 June 2012
Published in: Journal of Graph Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/jgt.20610
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items (5)
On reconstruction of normal edge-transitive Cayley graphs ⋮ An infinite family of cubic nonnormal Cayley graphs on nonabelian simple groups ⋮ Tetravalent half-arc-transitive graphs with unbounded nonabelian vertex stabilizers ⋮ Tetravalent edge-transitive Cayley graphs of Frobenius groups ⋮ Locally bi-2-transitive graphs and cycle-regular graphs, and the answer to a 2001 problem posed by Fouquet and Hahn
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An infinite family of half-arc-transitive graphs with universal reachability relation
- Symmetry properties of Cayley graphs of small valencies on the alternating group \(A_5\)
- A classification of tightly attached half-arc-transitive graphs of valency 4
- There exists no tetravalent half-arc-transitive graph of order \(2p^{2}\)
- Almost all quartic half-arc-transitive weak metacirculants of class II are of class IV
- Hexavalent half-arc-transitive graphs of order \(4p\)
- On the classification of quartic half-arc-transitive metacirculants
- On weakly symmetric graphs of order twice a prime
- Normal Cayley graphs of finite groups
- A classification of symmetric graphs of order \(3p\)
- Symmetric graphs of order a product of two distinct primes
- 1/2-transitive graphs of order \(3p\)
- On cubic Cayley graphs of finite simple groups
- The Magma algebra system. I: The user language
- Automorphism groups and isomorphisms of Cayley digraphs
- The solution of a problem of Godsil on cubic Cayley graphs
- A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer
- The automorphism groups of some cubic Cayley graphs
- On half-transitive metacirculant graphs of prime-power order
- Transitive permutation groups of prime-squared degree
- On primitive permutation groups with small suborbits and their orbital graphs.
- On edge-transitive Cayley graphs of valency four
- Two sufficient conditions for non-normal Cayley graphs and their applications
- Tetravalent half-arc-transitive graphs of order \(p^4\)
- Non-normal one-regular and 4-valent Cayley graphs of dihedral groups \(D_{2n}\)
- Vertex-transitive graphs
- Determination of a class of primitive permutation groups
- Primitive permutation groups with small orbitals
- Graphs and finite permutation groups. II
- Quartic half-arc-transitive graphs with large vertex stabilizers
- Automorphism groups of tetravalent Cayley graphs on regular \(p\)-groups
- On the Symmetry of Cubic Graphs
- The primitive permutation groups with an orbital of length 4
- On isomorphisms of connected Cayley graphs, III
- Vertex-primitive ½-arc-transitive graphs of smallest order
- On the Automorphism Groups of Cayley Graphs of Finite Simple Groups
- Finite normal edge-transitive Cayley graphs
This page was built for publication: Tetravalent half-edge-transitive graphs and non-normal Cayley graphs