Tournaments with given regular group

DOI10.1007/BF02189868zbMath0422.05034OpenAlexW2053494135MaRDI QIDQ1133556

Wilfried Imrich, László Babai

Publication date: 1979

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136827

zbMATH Keywords

automorphism groupregular permutation grouptournament

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20)

Related Items (18)

On \(n\)-partite digraphical representations of finite groups ⋮ Every finite non-solvable group admits an oriented regular representation ⋮ Finite groups admitting an oriented regular representation ⋮ A conjecture on bipartite graphical regular representations ⋮ On the existence and the enumeration of bipartite regular representations of Cayley graphs over abelian groups ⋮ Finite digraphs with given regular automorphism groups ⋮ On infinite tournaments with regular automorphism groups ⋮ On the automorphism groups of almost all Cayley graphs ⋮ On the existence of graphical Frobenius representations and their asymptotic enumeration ⋮ On the existence of Frobenius digraphical representations ⋮ Simple tournaments and sharply transitive groups ⋮ Infinite digraphs with given regular automorphism groups ⋮ Tournaments with given (infinite) automorphism group ⋮ A classification of the graphical \(m\)-semiregular representation of finite groups ⋮ On Haar digraphical representations of groups ⋮ Sidon sets in groups and induced subgraphs of Cayley graphs ⋮ Gruppenuniversalität und Homogenisierbarkeit ⋮ Tournaments with prescribed regular automorphism group

Cites Work

• Infinite digraphs with given regular automorphism groups
• Tournaments with given (infinite) automorphism group
• On the action of non-Abelian groups on graphs
• On a Class of Fixed-Point-Free Graphs
• A question of Babai on groups
• On Point-Symmetric Tournaments
• Endliche Gruppen I
• Graphical Regular Representations of Non-Abelian Groups, I
• Tournaments With a Given Automorphism Group

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