The infinitude of 7-arc-transitive graphs

DOI10.1006/jabr.1998.7537zbMath0915.05066OpenAlexW2010253933MaRDI QIDQ1273398

Marston D. E. Conder, Cameron G. Walker

Publication date: 5 July 1999

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

Full work available at URL: https://semanticscholar.org/paper/a97103daf361b67cea225febe9516c81b02f4c6e

zbMATH Keywords

automorphism groupsymmetric groupsymmetric graphs7-arc-transitivityalternative group

Mathematics Subject Classification ID

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

Related Items

On symmetries of Cayley graphs and the graphs underlying regular maps, On 2-arc-transitivity of Cayley graphs, Geometric aspects of 2-walk-regular graphs, The finite vertex-primitive and vertex-biprimitive $s$-transitive graphs for $s\ge 4$, Simple group actions on arc-transitive graphs with prescribed transitive local action, On cubic \(s\)-arc transitive Cayley graphs of finite simple groups, On \(k\)-connected-homogeneous graphs, Cubic \(s\)-arc transitive Cayley graphs, On finite \(s\)-transitive graphs of odd order

Uses Software

• GAP
• Magma

Cites Work

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• The sextet construction for cubic graphs
• The nonexistence of 8-transitive graphs
• Presentations for (G, s)-transitive graphs of small valency
• A new 5‐arc‐transitive cubic graph