Local actions in vertex-transitive graphs

Abstract: A graph is vertex-transitive if its group of automorphism acts transitively on its vertices. A very important concept in the study of these graphs is that of local action, that is, the permutation group induced by a vertex-stabiliser on the corresponding neighbourhood. I will explain some of its importance and discuss some attempts to generalise it to the case of directed graphs.

group theory

Audience: researchers in the discipline

Symmetry in Newcastle