Normal Cayley graphs of finite groups

DOI10.1007/BF02879042zbMath0912.05042OpenAlexW1988293997MaRDI QIDQ1128111

Dian Jun Wang, Chang Qun Wang, Ming-Yao Xu

Publication date: 16 May 1999

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02879042

zbMATH Keywords

normal Cayley digraph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (15)

Tetravalent half-edge-transitive graphs and non-normal Cayley graphs ⋮ Two sufficient conditions for non-normal Cayley graphs and their applications ⋮ Normal Cayley digraphs of cyclic groups with CI-property ⋮ On reconstruction of normal edge-transitive Cayley graphs ⋮ Hamiltonian normal Cayley graphs ⋮ Pentavalent Cayley graphs of order twice a prime square with solvable automorphism groups ⋮ Asymptotic enumeration of graphical regular representations ⋮ Tetravalent edge-transitive Cayley graphs of \({\mathrm{PGL}(2,p)}\) ⋮ Normality of 2-Cayley digraphs ⋮ Cayley digraphs of 2-genetic groups of odd prime-power order ⋮ A family of nonnormal Cayley digraphs ⋮ Hamiltonian cycles in normal Cayley graphs ⋮ Unnamed Item ⋮ Cayley digraphs with normal adjacency matrices ⋮ Normality of tetravalent Cayley graphs of odd prime-cube order and its application

Cites Work

• Unnamed Item
• Half-transitive graphs of prime-cube order
• Finite digraphs with given regular automorphism groups
• On the full automorphism group of a graph
• On graphical representations of cyclic extensions of groups
• On automorphisms of Cayley graphs
• A classification of symmetric graphs of order \(3p\)
• The automorphism groups of some cubic Cayley graphs
• Half-transitive graphs of order a product of two distinct primes^*
• Graphical Regular Representations of Non-Abelian Groups, I

This page was built for publication: Normal Cayley graphs of finite groups