Symmetric cubic graphs with solvable automorphism groups

DOI10.1016/j.ejc.2014.10.008zbMath1304.05070OpenAlexW2021758796MaRDI QIDQ482115

Jin-Xin Zhou, Cai Heng Li, Yan Quan Feng

Publication date: 19 December 2014

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2014.10.008

zbMATH Keywords

\(G\)-arc-transitive cubic graphconnected \(G\)-basic cubic graphs

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)

Related Items (13)

Symmetric cubic graphs with non-solvable automorphism groups ⋮ Pentavalent symmetric graphs of order \(2p^3\) ⋮ On cubic symmetric non-Cayley graphs with solvable automorphism groups ⋮ ON GRAPHS OF PRIME VALENCY ADMITTING A SOLVABLE ARC-TRANSITIVE GROUP ⋮ Finite 3-connected-set-homogeneous locally \(2\mathbf{K}_n\) graphs and \(s\)-arc-transitive graphs ⋮ Intersection density of cubic symmetric graphs ⋮ The automorphisms of bi-Cayley graphs ⋮ On edge-transitive metacyclic covers of cubic arc-transitive graphs of order twice a prime ⋮ On prime-valent symmetric graphs of square-free order ⋮ On arc-transitive pentavalent graphs of order \(2^mp^n\) ⋮ Symmetric cubic graphs via rigid cells ⋮ Symmetric graphs of valency five and their basic normal quotients ⋮ Pentavalent symmetric graphs admitting vertex-transitive non-abelian simple groups

Uses Software

• Magma

Cites Work

• Elementary abelian covers of graphs
• On cubic graphs admitting an edge-transitive solvable group
• A refined classification of symmetric cubic graphs
• Cubic symmetric graphs of order a small number times a prime or a prime square
• On weakly symmetric graphs of order twice a prime
• Regular groups of automorphisms of cubic graphs
• Non-Cayley vertex-transitive graphs of order twice the product of two odd primes
• Classifying vertex-transitive graphs whose order is a product of two primes
• The Magma algebra system. I: The user language
• Group actions, coverings and lifts of automorphisms
• On vertex-transitive, non-Cayley graphs of order \(pqr\)
• \(s\)-regular cyclic coverings of the three-dimensional hypercube \(Q_{3}\).
• Lifting graph automorphisms by voltage assignments
• On vertex-transitive graphs of odd prime-power order
• Square-free non-Cayley numbers. On vertex-transitive non-Cayley graphs of square-free order.
• On 1-arc-regular graphs
• Cubic vertex-transitive graphs of order 2pq
• On a Class of Fixed-Point-Free Graphs
• On the Symmetry of Cubic Graphs
• Vertex-transitive graphs: Symmetric graphs of prime valency
• Cubic symmetric graphs of order twice an odd prime-power
• Characterizing vertex-transitivepq-graphs with an imprimitive automorphism subgroup
• s‐Regular cubic graphs as coverings of the complete bipartite graph K_3,3
• Vertex-transitive graphs that are not Cayley graphs. II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Symmetric cubic graphs with solvable automorphism groups