Coloquio de Cuernavaca: 15 octubre de 2025

Resumen:

Cayley graphs - one of the central classes of  vertex-transitive graphs - are characterized by the existence of a group of automorphisms acting regularly on their vertex sets. The topic of the lecture will be a generalization of the concept of Cayley graphs to quasi-Cayley graphs characterized by the existence of a family of automorphisms acting regularly on the vertices. We will present the background and motivation behind this generalization, introduce some of their fundamental properties, discuss r-regular families of permutations, and explain their relevance within the class of vertex-transitive graphs.

https://www.matcuer.unam.mx/seminarios/1463-quasi-groups-and-r-regular-families-of-permutations-in-algebraic-graph-theory