Gabriel Verret

activity

20102025

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

9 citations · 21 across the 26 of their papers we have counts for

collaborators

Showing 2012 · math.COShow all

3 papers · 2 filters

math.CO2012

On intransitive graph-restrictive permutation groups

Pablo Spiga, Gabriel Verret

Let $Γ$ be a finite connected $G$ -vertex-transitive graph and let $v$ be a vertex of $Γ$ . If the permutation group induced by the action of the vertex-stabiliser $G_{v}$ on the neigh…

math.CO2012★ 5 cited

Asymptotic enumeration of vertex-transitive graphs of fixed valency

Primoz Potocnik, Pablo Spiga, Gabriel Verret

Let $G$ be a group and let $S$ be an inverse-closed and identity-free generating set of $G$ . The \emph{Cayley graph} $\Cay(G,S)$ has vertex-set $G$ and two vertices $u$ and $v$ are…

math.CO2012

On the order of arc-stabilisers in arc-transitive graphs with prescribed local group

Primoz Potocnik, Pablo Spiga, Gabriel Verret

Let $Γ$ be a connected $G$ -arc-transitive graph, let $uv$ be an arc of $Γ$ and let $L$ be the permutation group induced by the action of the vertex-stabiliser $G_{v}$ on the neighbou…