Graphical Frobenius representations

DOI10.1007/s10801-018-0814-6zbMath1404.05077OpenAlexW2792239426MaRDI QIDQ1631386

John Kevin Doyle, Mark E. Watkins, Thomas W. Tucker

Publication date: 6 December 2018

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-018-0814-6

zbMATH Keywords

automorphismCayley graphFrobenius groupgraphical regular representation

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Infinite automorphism groups (20B27)

Related Items (14)

The GFR problem and a theorem of Godsil ⋮ 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 ⋮ On the existence of graphical Frobenius representations and their asymptotic enumeration ⋮ Graphical Frobenius representations of non-abelian groups ⋮ On the existence of Frobenius digraphical representations ⋮ Quasi-semiregular automorphisms of cubic and tetravalent arc-transitive graphs ⋮ Cubic graphical regular representations of \(\mathrm{PSL}_3(q)\) ⋮ Cayley graphs with few automorphisms ⋮ On the equivalence between a conjecture of Babai-Godsil and a conjecture of Xu concerning the enumeration of Cayley graphs ⋮ Graphical representations of cyclic permutation groups ⋮ On normality of \(n\)-Cayley graphs ⋮ Abelian permutation groups with graphical representations

Uses Software

• Magma

Cites Work

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