Automorphisms of cubic Cayley graphs of order \(2pq\)

DOI10.1016/j.disc.2008.06.023zbMath1197.05072OpenAlexW2067431917MaRDI QIDQ1043615

Cui Zhang, Jin-Xin Zhou, Yan Quan Feng

Publication date: 9 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.06.023

zbMATH Keywords

Cayley graphsymmetric graphnormal Cayley 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 (7)

COMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS ⋮ Cubic vertex-transitive non-Cayley graphs of order \(12p\) ⋮ Cubic non-normal Cayley graphs of order \(4p^2\) ⋮ Tetravalent normal edge-transitive Cayley graphs on a certaingroup of order $6n$ ⋮ Cubic vertex-transitive graphs of order 2pq ⋮ A classification of tetravalent non-normal Cayley graphs of order twice a prime square ⋮ Automorphisms of a Family of Cubic Graphs

Uses Software

• Magma

Cites Work

• On cubic Cayley graphs of finite simple groups
• The Magma algebra system. I: The user language
• Automorphism groups and isomorphisms of Cayley digraphs
• The solution of a problem of Godsil on cubic Cayley graphs
• An infinite family of cubic edge- but not vertex-transitive graphs
• The automorphism groups of some cubic Cayley graphs
• Transitive permutation groups of prime-squared degree
• Non-normal one-regular and 4-valent Cayley graphs of dihedral groups \(D_{2n}\)
• On finite simple groups of characteristic 2 type
• Automorphism groups of tetravalent Cayley graphs on regular \(p\)-groups
• Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets
• Cubic vertex-transitive graphs of order 2pq
• On a Class of Fixed-Point-Free Graphs
• Isomorphism problem for a class of point-symmetric structures
• On isomorphisms of connected Cayley graphs, III
• Finite normal edge-transitive Cayley graphs
• Automorphism Groups of Connected Cubic Cayley Graphs of Order 4p
• Endliche Gruppen I
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