On vertex-transitive, non-Cayley graphs of order \(pqr\)

DOI10.1016/S0012-365X(97)00149-0zbMath0908.05050OpenAlexW1963855315MaRDI QIDQ1379986

Seress, Ákos

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(97)00149-0

zbMATH Keywords

non-Cayley numbersvertex-transitive, non-Cayley graph

Mathematics Subject Classification ID

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

Related Items (13)

Tetravalent vertex-transitive graphs of order twice a prime square ⋮ Cayley numbers with arbitrarily many distinct prime factors ⋮ Minimal normal subgroups of transitive permutation groups of square-free degree ⋮ Enumerating graphs via even/odd dichotomy ⋮ On cubic symmetric non-Cayley graphs with solvable automorphism groups ⋮ THE TWO-ARC-TRANSITIVE GRAPHS OF SQUARE-FREE ORDER ADMITTING ALTERNATING OR SYMMETRIC GROUPS ⋮ Symmetric cubic graphs with solvable automorphism groups ⋮ Tetravalent vertex‐transitive graphs of order 4p ⋮ On solvable groups and Cayley graphs ⋮ Square-free non-Cayley numbers. On vertex-transitive non-Cayley graphs of square-free order. ⋮ Cubic vertex-transitive graphs of order 2pq ⋮ On cubic non-Cayley vertex-transitive graphs ⋮ On non-Cayley vertex-transitive graphs of order a product of three primes

Uses Software

• GAP

Cites Work

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• Non-Cayley vertex-transitive graphs of order twice the product of two odd primes
• Vertex-primitive graphs of order a product of two distinct primes
• The Primitive Permutation Groups of Odd Degree
• Overgroups of Sylow subgroups in sporadic groups
• On the 2-Closures of Finite Permutation Groups
• A Construction for Vertex-Transitive Graphs
• Characterizing vertex-transitivepq-graphs with an imprimitive automorphism subgroup
• Vertex-transitive graphs that are not Cayley graphs. II

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