Gabriel Verret

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

9 citations · 13 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2011★ 1 cited

Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph

Cheryl E. Praeger, Pablo Spiga, Gabriel Verret

In this paper we discuss a method for bounding the size of the stabiliser of a vertex in a $G$ -vertex-transitive graph $Γ$ . In the main result the group $G$ is quasiprimitive or bi…

math.CO2011★ 1 cited

On graph-restrictive permutation groups

Primoz Potocnik, Pablo Spiga, Gabriel Verret

Let $Γ$ be a connected $G$ -vertex-transitive graph, let $v$ be a vertex of $Γ$ and let $L = G_{v}^{Γ (v)}$ be the permutation group induced by the action of the vertex-stabiliser $G_{v}$ …

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 $Γ$ is a connected 4-valent $G$ -arc-transitive graph and $v$ is a vertex of $Γ$ , then either $Γ$ is one of a well understood infinite fami…