On graphical regular representations of direct products of groups

DOI10.1007/BF01298284zbMath0242.05115OpenAlexW2087567249MaRDI QIDQ5921513

Mark E. Watkins, Lewis A. Nowitz

Publication date: 1972

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/177593

Mathematics Subject Classification ID

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

Related Items (12)

The graphical complexity of direct products of permutation groups ⋮ On the asymptotic enumeration of Cayley graphs ⋮ A conjecture on bipartite graphical regular representations ⋮ Finite transitive groups having many suborbits of cardinality at most 2 and an application to the enumeration of Cayley graphs ⋮ On the existence of graphical Frobenius representations and their asymptotic enumeration ⋮ On graphical regular representations of direct products of groups ⋮ 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 ⋮ Direct product of automorphism groups of digraphs ⋮ On products of graphs and regular groups ⋮ Direct products of automorphism groups of graphs ⋮ Decompositions of the automorphism groups of edge-colored graphs into the direct product of permutation groups

Cites Work

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• Unnamed Item
• Graph multiplication
• Vertex-transitive graphs
• On the action of non-Abelian groups on graphs
• On a Class of Fixed-Point-Free Graphs
• On the non-existence of graphs with transitive generalized dicyclic groups
• On a Theorem of Sabidussi

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