Seminar of Graph Theory - Štefko Miklavič (10.12.2020)
Thursday 10.12.2020 at 9:50
Štefko Miklavič (University of Primorska, Koper):
Terwilliger algebra of a graph
MS TEAMS code (users from Comenius University in Bratislava): gglxxc7
Link (guests outside Comenius University in Bratislava)
Abstract:
The aim of this talk is to introduce Terwilliger algebra of a graph. We will first define Terwilliger algebra of an arbitrary connected simple graph, and its (irreducible) modules. We will show that in the context of Terwilliger algebras, distance-(bi)regular graphs arise quite naturally. We will be interested in the interplay between certain combinatorial properties of graphs and the module structure of the associated Terwilliger algebras.