On the existence of Frobenius digraphical representations

zbMath1390.05095MaRDI QIDQ1753102

Pablo Spiga

Publication date: 25 May 2018

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i2p6

zbMATH Keywords

automorphism groupCayley digraphregular representationFrobenius representation

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20)

Related Items (14)

On \(n\)-partite digraphical representations of finite groups ⋮ The GFR problem and a theorem of Godsil ⋮ Finite groups admitting an oriented regular representation ⋮ A conjecture on bipartite graphical regular representations ⋮ Prime-valent symmetric graphs with a quasi-semiregular automorphism ⋮ On the existence and the enumeration of bipartite regular representations of Cayley graphs over abelian groups ⋮ Asymptotic enumeration of graphical regular representations ⋮ On the existence of graphical Frobenius representations and their asymptotic enumeration ⋮ Graphical Frobenius representations of non-abelian groups ⋮ Cayley graphs with few automorphisms ⋮ Asymptotic enumeration of Cayley digraphs ⋮ On the equivalence between a conjecture of Babai-Godsil and a conjecture of Xu concerning the enumeration of Cayley graphs ⋮ On Haar digraphical representations of groups ⋮ Abelian permutation groups with graphical representations

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