Lethbridge Number Theory and Combinatorics Seminar: Chi Hoi Yip
- Date: 02/28/2022
- Time: 11:00
Online
Erdős-Ko-Rado Properties of Pseudo-Paley Graphs of Square Order
Paley graphs connect many branches of mathematics, notably combinatorics and number theory. Inspired by the Erdős-Ko-Rado (EKR) theorem for Paley graphs of square order (first proved by Blokhuis) and recent development of the study of EKR-type results, we study the EKR property, the EKR-module property, and the strict-EKR property of pseudo-Paley graphs from unions of cyclotomic classes using a mixture of ideas from number theory, finite geometry, and combinatorics. In particular, we extend the EKR theorem for Paley graphs to several families of pseudo-Paley graphs and solve a problem proposed by Godsil and Meagher.
The talk is based on joint work with Shamil Asgarli, Sergey Goryainov, and Huiqiu Lin.
This presentation begins at 11am PST / 12noon MDT
For more information:
https://www.cs.uleth.ca/~nathanng/ntcoseminar/
Zoom link and password are available from the organizers:
Bobby Miraftab: bobby.miraftab@uleth.ca
Nathan Ng: nathan.ng@uleth.ca
Raghu Pantangi: raghu.pantangi@uleth.ca
If possible, please write from a verifiable university email address, and not at the last minute.