A classification of the graphical \(m\)-semiregular representation of finite groups
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Publication:2299622
DOI10.1016/j.jcta.2019.105174zbMath1433.05144arXiv1901.07133OpenAlexW2989670700MaRDI QIDQ2299622
Jia-Li Du, Pablo Spiga, Yan Quan Feng
Publication date: 21 February 2020
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.07133
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representation theory of groups (20C99) Directed graphs (digraphs), tournaments (05C20)
Related Items (5)
On \(n\)-partite digraphical representations of finite groups ⋮ Symmetric property and edge-disjoint Hamiltonian cycles of the spined cube ⋮ Existence of non-Cayley Haar graphs ⋮ On Haar digraphical representations of groups ⋮ On oriented \(m\)-semiregular representations of finite groups about valency two
Uses Software
Cites Work
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- Cubic graphical regular representations of \(\operatorname{PSL}_2(q)\)
- Partial sum quadruples and bi-abelian digraphs
- Graph multiplication
- On strongly regular bicirculants
- The automorphisms of bi-Cayley graphs
- One-matching bi-Cayley graphs over Abelian groups
- Strongly regular tri-Cayley graphs
- Tournaments with prescribed regular automorphism group
- Tournaments with given regular group
- Finite digraphs with given regular automorphism groups
- On graphical representations of cyclic extensions of groups
- On automorphisms of Cayley graphs
- The Magma algebra system. I: The user language
- Asymptotic enumeration of Cayley digraphs
- On normality of \(n\)-Cayley graphs
- Every finite non-solvable group admits an oriented regular representation
- Finite groups admitting an oriented regular representation
- Cubic bi-Cayley graphs over abelian groups
- Vertex-transitive graphs
- On the action of non-Abelian groups on graphs
- On products of graphs and regular groups
- Characterization of edge-transitive 4-valent bicirculants
- Classification of finite groups that admit an oriented regular representation
- Most rigid representations and Cayley index
- Asymmetrische reguläre Graphen
- Graphical Regular Representations of Non-Abelian Groups, I
- Graphical Regular Representations of Non-Abelian Groups, II
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