Finite edge-transitive oriented graphs of valency four: a global approach
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Publication:907260
zbMath1329.05142arXiv1507.02170MaRDI QIDQ907260
Pablo Spiga, Jehan A. Al-Bar, Cheryl E. Praeger, Ahmad N. Al-Kenani, Najat Mohammad Muthana
Publication date: 25 January 2016
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.02170
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items (12)
Constructing half-arc-transitive graphs of valency four with prescribed vertex stabilizers ⋮ Resolution of a conjecture about linking ring structures ⋮ New structural results on tetravalent half-arc-transitive graphs ⋮ Tetravalent half-arc-transitive graphs with unbounded nonabelian vertex stabilizers ⋮ Generalized Gardiner-Praeger graphs and their symmetries ⋮ Smallest tetravalent half-arc-transitive graphs with the vertex-stabiliser isomorphic to the dihedral group of order 8 ⋮ The separated box product of two digraphs ⋮ Biquasiprimitive oriented graphs of valency four ⋮ Finite edge-transitive oriented graphs of valency four with cyclic normal quotients ⋮ Tetravalent edge-transitive Cayley graphs of Frobenius groups ⋮ Four-valent oriented graphs of biquasiprimitive type ⋮ Half-arc-transitive graphs and the Fano plane
Cites Work
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- On the vertex-stabiliser in arc-transitive digraphs
- Elementary abelian covers of graphs
- Finite primitive distance-transitive graphs
- On the order of vertex-stabilisers in vertex-transitive graphs with local group \(\mathrm{C}_p \times \mathrm{C}_p\) or \(\mathrm{C}_p\, \mathrm{wr}\, \mathrm{C}_2\)
- A classification of tightly attached half-arc-transitive graphs of valency 4
- On quartic half-arc-transitive metacirculants
- The mathematics of Donald Gordon Higman
- Highly arc transitive digraphs
- Buildings of spherical type and finite BN-pairs
- Maps and half-transitive graphs of valency 4
- Half-transitive group actions on finite graphs of valency 4
- Vertex-transitive non-Cayley graphs with arbitrarily large vertex-stabilizer
- Tetravalent graphs admitting half-transitive group actions: Alternating cycles
- Infinite highly arc transitive digraphs and universal covering digraphs
- On 4-valent symmetric graphs
- Finite locally-quasiprimitive graphs
- Recent developments in half-transitive graphs
- A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer
- Finite transitive permutation groups and bipartite vertex-transitive graphs
- On primitive permutation groups with small suborbits and their orbital graphs.
- Finite edge-transitive oriented graphs of valency four with cyclic normal quotients
- Algebraic and abstract simple groups
- Arc-transitive abelian regular covers of cubic graphs
- Half-arc-transitive group actions with a small number of alternets
- Classification of half-arc-transitive graphs of order \(4p\)
- Vertex-transitive graphs
- Normalizers of p-subgroups in finite groups
- Intersection matrices for finite permutation groups
- Graphs and finite permutation groups
- Graphs and finite permutation groups. II
- Quartic half-arc-transitive graphs with large vertex stabilizers
- On the point stabilizers of transitive groups with non-self-paired suborbits of length 2
- Graphs with automorphism groups admitting composition factors of bounded rank
- TETRAVALENT ARC-TRANSITIVE GRAPHS WITH UNBOUNDED VERTEX-STABILIZERS
- RANDOM (r, s)-GENERATION OF FINITE CLASSICAL GROUPS
- On the Symmetry of Cubic Graphs
- An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
- Distance Transitive Graphs and Finite Simple Groups
- Theory of Maps on Orientable Surfaces
- [https://portal.mardi4nfdi.de/wiki/Publication:4344215 A �-transitive graph of valency 4 with a nonsolvable group of automorphisms]
- Semi-transitive graphs
- Half-transitive graphs of valency 4 with prescribed attachment numbers
- A normal quotient analysis for some families of oriented four-valent graphs
- A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two
- Some recent discoveries about half-arc-transitive graphs
- Vertex and Edge Transitive, but not 1-Transitive, Graphs
- Polyhedral decompositions of cubic graphs
- A Census of Planar Maps
- On the Imbedding of Linear Graphs in Surfaces
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