Gabriel Verret

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

collaborators

Showing 2012Show all

4 papers · 1 filter

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…

math.CO2012

Cubic vertex-transitive graphs on up to 1280 vertices

Primoz Potocnik, Pablo Spiga, Gabriel Verret

A graph is called cubic and tetravalent if all of its vertices have valency 3 and 4, respectively. It is called vertex-transitive and arc-transitive if its automorphism group acts…