Non-Cayley-isomorphic Cayley graphs from non-Cayley-isomorphic Cayley digraphs

MaRDI QIDQ6644886

Dave Witte Morris, Joy Morris

Publication date: 28 November 2024

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

zbMATH Keywords

Cayley graphSchur ringCI-group2-closure

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20)

Cites Work

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• Elementary Abelian \(p\)-groups of rank \(2p+3\) are not CI-groups.
• CI-property of elementary abelian 3-groups
• A non-Cayley-invariant Cayley graph of the elementary Abelian group of order 64
• On isomorphisms of finite Cayley graphs
• On the isomorphism problem for cyclic combinatorial objects
• Elementary abelian groups of rank 5 are DCI-groups
• The Cayley isomorphism property for Cayley maps
• Isomorphism problem for relational structures with a cyclic automorphism
• On isomorphisms of finite Cayley graphs---a survey
• An elementary abelian group of large rank is not a CI-group
• Further restrictions on the structure of finite CI-groups
• Elementary abelian \(p\)-groups of rank greater than or equal to \(4p-2\) are not CI-groups.
• Isomorphism problem for a class of point-symmetric structures
• CI-groups with respect to ternary relational structures: new examples
• \(\mathbb{Z}_3^8\) is not a CI-group

Related Items (1)

\(\mathbb{Z}_3^8\) is not a CI-group

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