Normality of tetravalent Cayley graphs of odd prime-cube order and its application

DOI10.1007/s10114-004-0500-6zbMath1080.05041OpenAlexW2035143182MaRDI QIDQ2581222

Ming-Yao Xu, Yan Quan Feng

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0500-6

zbMATH Keywords

Cayley digraphhalf-transitivetetravalent symmetric graphs

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 (2)

Cubic non-Cayley vertex-transitive bi-Cayley graphs over a regular \(p\)-group ⋮ On finite subnormal Cayley graphs

Cites Work

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• Half-transitive graphs of prime-cube order
• Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree
• Normal Cayley graphs of finite groups
• Automorphism groups and isomorphisms of Cayley digraphs
• On vertex-transitive graphs of odd prime-power order
• Automorphism groups of 2-valent connected Cayley digraphs on regular \(p\)-groups
• On the Classification of Symmetric Graphs with a Prime Number of Vertices
• Endliche Gruppen I
• An algebraic characterization of symmetric graphs with a prime number of vertices
• A family of nonnormal Cayley digraphs

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