On the extendability of certain semi-Cayley graphs of finite Abelian groups

DOI10.1016/j.disc.2011.05.027zbMath1223.05114OpenAlexW1990534823MaRDI QIDQ2275457

Wenwen Liu, Xing Gao, Yan-Feng Luo

Publication date: 9 August 2011

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.05.027

zbMATH Keywords

Cayley graphsAbelian groupsextendabilitysemi-Cayley graphsgeneralized dicyclic (respectively, dihedral) groups

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite abelian groups (20K01)

Related Items (7)

Cubic non-Cayley vertex-transitive bi-Cayley graphs over a regular \(p\)-group ⋮ Symmetric bi-Cayley graphs on nonabelian simple groups with prime valency ⋮ The automorphisms of bi-Cayley graphs ⋮ Edge-transitive bi-Cayley graphs ⋮ Cubic bi-Cayley graphs over abelian groups ⋮ Normal edge-transitive and -arc-transitive semi-Cayley graphs ⋮ Normality of one-matching semi-Cayley graphs over finite abelian groups with maximum degree 3

Cites Work

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• On 2-extendable abelian Cayley graphs
• The finite vertex-primitive and vertex-biprimitive $s$-transitive graphs for $s\ge 4$
• A solution of the isomorphism problem for circulant graphs

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