2 papers
math.CO2026
The distinguishing number of complete bipartite and crown graphs
Lei Chen, Alice Devillers, Luke Morgan +1
The distinguishing number of a permutation group $G\leqslant\Sym(Ω)$ is the minimum number of colours needed to colour in such a way that the only colour preserving element o…
math.GR2025
Linear dimension of group actions
Alice Devillers, Michael Giudici, Daniel R. Hawtin +2
Two fundamental ways to represent a group are as permutations and as matrices. In this paper, we study linear representations of groups that intertwine with a permutation represent…