Doktorandské kolokvium KAI - Dominika Mihálová (27.11.2023)

v pondelok 27.11.2023 o 13:10 hod. v miestnosti I/9

22. 11. 2023 20.42 hod.
Od: Damas Gruska

Prednášajúci: Dominika Mihálová

Názov: Constructions of Hypergraphical Regular Representations

Termín: 27.11.2023, 13:10 hod., I/9

Abstrakt:
Our research is inspired by the question: Can an abstract algebraic structure, like a group, be faithfully represented by a graph? This question has been studied extensively. We extend this to a more general construction - hypergraph. In our previous research, we characterized all groups of orders less than 33 which admit hypergraphical regular representation via k-uniform hypergraph. Our latest research is focused on the hypergraphical regular representation of groups with orders greater than 32, where we combined our previous method with the method of Erskine and Tuite.