TETRAVALENT ARC-TRANSITIVE GRAPHS WITH UNBOUNDED VERTEX-STABILIZERS

DOI10.1017/S0004972710002078zbMath1222.05102arXiv1010.2549OpenAlexW2160284954MaRDI QIDQ3021159

Primož Potočnik, Pablo Spiga, Gabriel Verret

Publication date: 22 July 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2549

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 (9)

Hexavalent (G, s)-transitive graphs ⋮ On the order of vertex-stabilisers in vertex-transitive graphs with local group \(\mathrm{C}_p \times \mathrm{C}_p\) or \(\mathrm{C}_p\, \mathrm{wr}\, \mathrm{C}_2\) ⋮ Finite edge-transitive oriented graphs of valency four: a global approach ⋮ Recipes for edge-transitive tetravalent graphs ⋮ BIPARTITE DIVISOR GRAPH FOR THE PRODUCT OF SUBSETS OF INTEGERS ⋮ On the nullspace of arc-transitive graphs over finite fields ⋮ Tetravalent arc-transitive graphs of order twice a product of two primes ⋮ Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs ⋮ A characterisation on arc-transitive graphs of prime valency

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