Half-transitive graphs of prime-cube order
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Publication:686004
DOI10.1023/A:1022440002282zbMath0786.05044OpenAlexW113487936MaRDI QIDQ686004
Publication date: 9 November 1993
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1022440002282
Related Items (56)
On the stabilizer of the automorphism group of a 4-valent vertex-transitive graph with odd-prime-power order ⋮ Tetravalent half-arc-transitive graphs of order a product of three primes ⋮ Finite graphs of valency 4 and girth 4 admitting half-transitive group actions ⋮ Primitive half-transitive graphs constructed from the symmetric groups of prime degrees ⋮ Tetravalent half-transitive graphs of order \(4p\) ⋮ Enumeration of cubic Cayley graphs on dihedral groups ⋮ On isomorphisms of connected Cayley graphs ⋮ A classification of tetravalent half-arc-transitive metacirculants of 2-power orders ⋮ Recent developments in half-transitive graphs ⋮ On isomorphisms of connected Cayley graphs. II ⋮ Normal Cayley graphs of finite groups ⋮ On weakly symmetric graphs of order twice a prime square ⋮ Normal Cayley digraphs on minimal non-abelian groups ⋮ Tetravalent half-arc-transitive graphs of order \(p^4\) ⋮ Hexavalent edge-transitive graphs of order \(3p^2\) ⋮ Half-arc-transitive graphs of prime-cube order of small valencies ⋮ Half-arc-transitive group actions with a small number of alternets ⋮ Unnamed Item ⋮ Tetravalent edge-transitive graphs of order \(p^2q\) ⋮ New structural results on tetravalent half-arc-transitive graphs ⋮ Enumerating Cayley (di-)graphs on dihedral groups ⋮ Generalized Gardiner-Praeger graphs and their symmetries ⋮ Finite vertex-primitive edge-transitive metacirculants. ⋮ Constructing even radius tightly attached half-arc-transitive graphs of valency four ⋮ A classification of tightly attached half-arc-transitive graphs of valency 4 ⋮ Half-transitive graphs of valency 4 with prescribed attachment numbers ⋮ No hexavalent half-arc-transitive graphs of order twice a prime square exist ⋮ Cayley digraphs of 2-genetic groups of odd prime-power order ⋮ Tetravalent half-arc-transitive graphs of order \(2pq\) ⋮ Automorphisms of Cayley graphs of metacyclic groups of prime-power order ⋮ A family of nonnormal Cayley digraphs ⋮ 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 ⋮ Cubic semisymmetric graphs of order \(6p^{3}\) ⋮ An infinite family of half-arc-transitive graphs with universal reachability relation ⋮ Tetravalent edge-transitive Cayley graphs of Frobenius groups ⋮ An infinite family of tetravalent half-arc-transitive graphs ⋮ Classification of half-arc-transitive graphs of order \(4p\) ⋮ Tetravalent half-arc-transitive \(p\)-graphs ⋮ Automorphisms of prime-cube order group ⋮ On quartic half-arc-transitive metacirculants ⋮ Tetravalent half-arc-transitive graphs of order \(8p\) ⋮ Hexavalent half-arc-transitive graphs of order \(4p\) ⋮ Half-transitive group actions on finite graphs of valency 4 ⋮ Tetravalent half-arc-transitive graphs of order $p^2q^2$ ⋮ On the classification of quartic half-arc-transitive metacirculants ⋮ Cubic semisymmetric graphs of order \(8p ^{3}\) ⋮ On isomorphisms of connected Cayley graphs, III ⋮ Quartic half-arc-transitive graphs with large vertex stabilizers ⋮ Half-transitivity of some metacirculants ⋮ Tetravalent half-arc-transitive graphs of order \(p^5\) ⋮ On half-transitive metacirculant graphs of prime-power order ⋮ Constructing 4-valent \(\frac 12\)-transitive graphs with a nonsolvable automorphism group ⋮ Normality of tetravalent Cayley graphs of odd prime-cube order and its application ⋮ Tetravalent edge-transitive Cayley graphs with odd number of vertices ⋮ Vertex-primitive ½-arc-transitive graphs of smallest order
Cites Work
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- On the full automorphism group of a graph
- On finite simple groups of characteristic 2 type
- A graph which is edge transitive but not arc transitive
- A Construction for Vertex-Transitive Graphs
- Isomorphism problem for a class of point-symmetric structures
- Vertex and Edge Transitive, but not 1-Transitive, Graphs
- Endliche Gruppen I
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