(G,s)-Transitive Graphs of Valency 7

DOI10.1142/S100538671600047XzbMath1345.05044OpenAlexW2470626107MaRDI QIDQ2822086

Xiao-Hui Hua, Song-Tao Guo, Yan Tao Li

Publication date: 26 September 2016

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s100538671600047x

zbMATH Keywords

symmetric graph\(s\)-transitive graph\((G,s)\)-transitive graph

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 (13)

On symmetric graphs of order four times an odd square-free integer and valency seven ⋮ Classifying heptavalent symmetric graphs of order \(40p\) ⋮ On prime-valent symmetric Cayley graphs of finite simple groups ⋮ Finite edge-primitive graphs of prime valency ⋮ Arc-transitive Cayley graphs on non-abelian simple groups with soluble vertex stabilizers and valency seven ⋮ On prime-valent symmetric graphs of square-free order ⋮ Symmetric graphs of order four times a prime power and valency seven ⋮ Prime-valent symmetric graphs admitting alternating transitive group ⋮ Prime-valent arc-transitive basic graphs with order 4 p or 4 p 2 ⋮ Heptavalent symmetric graphs of order \(24p\) ⋮ A characterisation on arc-transitive graphs of prime valency ⋮ Vertex primitive \(s\)-transitive Cayley graphs ⋮ On 7-valent symmetric Cayley graphs of finite simple groups

Cites Work

• A note on pentavalent \(s\)-transitive graphs
• The nonexistence of 8-transitive graphs
• The Magma algebra system. I: The user language
• Über symmetrische Graphen , deren Valenz eine Primzahl ist
• Hexavalent (G, s)-transitive graphs
• Presentations for (G, s)-transitive graphs of small valency
• On the Symmetry of Cubic Graphs
• TETRAVALENT s-TRANSITIVE GRAPHS OF ORDER TWICE A PRIME POWER
• ARC TRANSITIVITY IN GRAPHS II
• ARC TRANSITIVITY IN GRAPHS III
• Groups with a (B, N)–pair and locally transitive graphs
• An application of p-factorization methods to symmetric graphs
• Graphs with projective suborbits. Exceptional cases of characteristic 2. I
• Graphs with projective suborbits. Exceptional cases of characteristic 2. II
• Graphs with projective suborbits. Exceptional cases of characteristic 2. IV
• Graphs with projective suborbits. Exceptional cases of characteristic 2. III
• ARC TRANSITIVITY IN GRAPHS
• Amalgams Determined By Locally Projective Actions

This page was built for publication: (G,s)-Transitive Graphs of Valency 7