Classifying heptavalent symmetric graphs of order \(40p\)

DOI10.1007/s13226-020-0502-9zbMath1462.05174OpenAlexW3120379527MaRDI QIDQ828975

Song-Tao Guo

Publication date: 5 May 2021

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-020-0502-9

zbMATH Keywords

symmetric graphcoset graph\(s\)-transitive graphorbital graph

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Uses Software

• Magma

Cites Work

• A note on pentavalent \(s\)-transitive graphs
• Arc-transitive graphs of square-free order and small valency
• Pentavalent symmetric graphs of order \(2pqr\)
• A list of 4-valent 2-arc-transitive graphs and finite faithful amalgams of index (4, 2)
• Tetravalent \(s\)-transitive graphs of order \(4p\)
• The Magma algebra system. I: The user language
• Heptavalent symmetric graphs of order \(24p\)
• On symmetric graphs of order four times an odd square-free integer and valency seven
• On finite simple groups of characteristic 2 type
• The trivalent symmetric graphs of girth at most six
• Classifying cubic symmetric graphs of order \(8p\) or \(8p^2\)
• 𝓦-RESOLUTIONS AND GORENSTEIN CATEGORIES WITH RESPECT TO A SEMIDUALIZING BIMODULES
• (G,s)-Transitive Graphs of Valency 7
• PENTAVALENT SYMMETRIC GRAPHS OF ORDER
• Vertex-transitive graphs: Symmetric graphs of prime valency
• TETRAVALENT s-TRANSITIVE GRAPHS OF ORDER TWICE A PRIME POWER
• Algebraic Graph Theory
• Heptavalent Symmetric Graphs of Order 16p
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