Toward a Three-dimensional Counterpart of Ryser’s Theorem (Amin Bahmanian, ISU)

Series
Graph Theory Seminar
Time
Tuesday, April 22, 2025 - 3:30pm for 1 hour (actually 50 minutes)
Location
Skiles 255
Speaker
Amin Bahmanian – Illinois State University – http://about.illinoisstate.edu/mbahman/
Organizer
Evelyne Smith-Roberge

Ryser (1951) provided the conditions under which any $r\times s$ Latin rectangle can be extended to an $n\times n$ Latin square. In this talk, we provide various generalizations of this result in higher dimensions. We also proof an analogue of Ryser’s theorem for symmetric latin cubes.