CAYLEY GRAPHS AND GRAPHICAL REGULAR REPRESENTATIONS

DOI10.1017/s0004972723000928OpenAlexW4386780794MaRDI QIDQ6151372

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Publication date: 12 February 2024

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972723000928

zbMATH Keywords

Cayley graphcubic graphgraphical regular representationGRRnonabelian simple groupBabai-Godsil-Imrich-Lovász conjecture

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Enumeration in graph theory (05C30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Cites Work

• Cubic graphical regular representations of \(\operatorname{PSL}_2(q)\)
• On the automorphism groups of almost all Cayley graphs
• Automorphism groups and isomorphisms of Cayley digraphs
• Cubic graphical regular representations of some classical simple groups
• Cubic graphical regular representations of \(\mathrm{PSU}_3(q)\)
• Cubic graphical regular representations of finite non-abelian simple groups
• Asymptotic enumeration of graphical regular representations

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