Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups

DOI10.26493/2590-9770.1254.266zbMath1441.05105arXiv1703.02290OpenAlexW3031960545MaRDI QIDQ5121544

Luke Morgan, Joy Morris, Gabriel Verret

Publication date: 15 September 2020

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02290

zbMATH Keywords

Cayley digraphsCayley index

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 (3)

Cayley graphs of more than one abelian group ⋮ Groups for which it is easy to detect graphical regular representations ⋮ Two families of graphs that are Cayley on nonisomorphic groups

Cites Work

• Unnamed Item
• Strict refinement for graphs and digraphs
• The isomorphism problem for Cayley digraphs on groups of prime-squared order
• Point regular groups of automorphisms of generalised quadrangles
• On products of graphs and regular groups
• Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets
• On Cayley digraphs on nonisomorphic 2-groups
• Enumerating Groups Acting Regularly on a d-Dimensional Cube
• Isomorphic Cayley graphs on nonisomorphic groups
• Suborbit Structure of Permutation p-Groups and an Application to Cayley Digraph Isomorphism
• Direct product of automorphism groups of digraphs
• Normal cirulant graphs with noncyclic regular subroups
• A NORMAL NON-CAYLEY-INVARIANT GRAPH FOR THE ELEMENTARY ABELIAN GROUP OF ORDER 64

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