activity
20102025
most citedPrimitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5

16 citations · 77 across the 45 of their papers we have counts for

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Showing 2010Show all

2 papers · 1 filter

math.CO2010★ 2 cited

Tetravalent arc-transitive graphs with unbounded vertex-stabilisers

Primoz Potocnik, Pablo Spiga, Gabriel Verret

It has long been known that there exist finite connected tetravalent arc-transitive graphs with arbitrarily large vertex-stabilisers. However, beside a well known family of excepti…

math.CO2010★ 9 cited

Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs

Primoz Potocnik, Pablo Spiga, Gabriel Verret

The main result of this paper is that, if is a connected 4-valent -arc-transitive graph and is a vertex of , then either is one of a well understood infinite fami…