Faculty of Mathematics, Physics
and Informatics
Comenius University Bratislava

Seminar of Graph Theory - Štefko Miklavič (10.12.2020)

Thursday 10.12.2020 at 9:50


07. 12. 2020 20.36 hod.
By: Martin Škoviera

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.
 

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