There exists no tetravalent half-arc-transitive graph of order \(2p^{2}\)
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Publication:973146
DOI10.1016/j.disc.2009.11.020zbMath1223.05119OpenAlexW2011233291MaRDI QIDQ973146
Publication date: 28 May 2010
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2009.11.020
Related Items
Tetravalent half-arc-transitive graphs of order a product of three primes ⋮ Tetravalent half-edge-transitive graphs and non-normal Cayley graphs ⋮ Tetravalent vertex-transitive graphs of order twice a prime square ⋮ Pentavalent Symmetric Graphs of Order Twice a Prime Square ⋮ On cyclic regular covers of complete graphs of small order ⋮ On weakly symmetric graphs of order twice a prime square ⋮ Unnamed Item ⋮ No hexavalent half-arc-transitive graphs of order twice a prime square exist ⋮ Tetravalent half-arc-transitive graphs of order \(2pq\) ⋮ A classification of tetravalent non-normal Cayley graphs of order twice a prime square ⋮ Tetravalent half-arc-transitive graphs of order \(8p\) ⋮ Tetravalent half-arc-transitive graphs of order $p^2q^2$
Cites Work
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- Half-transitive graphs of prime-cube order
- Tetravalent half-transitive graphs of order \(4p\)
- Constructing the vertex-transitive graphs of order 24
- A classification of tightly attached half-arc-transitive graphs of valency 4
- On quartic half-arc-transitive metacirculants
- On the classification of quartic half-arc-transitive metacirculants
- On weakly symmetric graphs of order twice a prime
- Half-transitive group actions on finite graphs of valency 4
- Tetravalent graphs admitting half-transitive group actions: Alternating cycles
- Constructing 4-valent \(\frac 12\)-transitive graphs with a nonsolvable automorphism group
- 1/2-transitive graphs of order \(3p\)
- Constructing \(\frac{1}{2}\)-arc-transitive graphs of valency 4 and vertex stabilizer \(Z_2\times Z_2\)
- A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer
- Half-arc-transitive graphs and chiral hypermaps.
- On half-transitive metacirculant graphs of prime-power order
- On edge-transitive Cayley graphs of valency four
- Tetravalent half-arc-transitive graphs of order \(p^4\)
- Constructing even radius tightly attached half-arc-transitive graphs of valency four
- An infinite family of tetravalent half-arc-transitive graphs
- Quartic half-arc-transitive graphs with large vertex stabilizers
- Primitive half-transitive graphs constructed from the symmetric groups of prime degrees
- A graph which is edge transitive but not arc transitive
- Transitive Graphs With Fewer Than Twenty Vertices
- Vertex-primitive ½-arc-transitive graphs of smallest order
- Half-transitive graphs of order a product of two distinct primes*
- Semi-transitive graphs
- Vertex and Edge Transitive, but not 1-Transitive, Graphs
- On the Classification of Symmetric Graphs with a Prime Number of Vertices