Pablo Spiga

collaborators

3 papers

math.CO2026

The base size of vertex-transitive cubic graphs

Marco Barbieri, Luca Sabatini, Pablo Spiga

We prove that if $I^$ is a finite connected vertex-transitive cubic graph, then either $∣ V I^∣ \leq 90$ , or $I^$ is a split Praeger--Xu graph, or there exist two vertices $I^\pm$ and $Î…

math.GR2026

On the base size of a finite group on its action on the lattice of subgroups

JiaLi Du, Joy Morris, Pablo Spiga

Given a finite group $R$ , we investigate the base size of the action of the automorphism group of $R$ on the lattice of subgroups of $R$ . Our main result shows that this base size…

math.CO2026

Some remarks on the orbit dimension of transitive groups and on the metric dimension of Johnson graphs

Alice Drera, Pablo Spiga

The orbit dimension $I ¨ (G)$ (also called the separation number or rigidity index) of a permutation group $G$ with domain $I^c ◯$ is the minimum cardinality of a subset $S \subseteq Î©…