Latin Squares, Take 2

October 16, 2024, 12:15 PM - 1:15 PM

Location:

Mathematics Graduate Student Lounge -- 7th Floor

Rutgers University

Hill Center

Mathematics Department

110 Frelinghuysen Road

Piscataway, NJ 08854

Aurora Hiveley, Rutgers University

If you were in Jeff's graph theory about a month ago, you may recall learning about an application of Hall's Theorem using embeddings of Latin rectangles into Latin squares. If you are someone who is not me, you may even have understood it the first time. In an effort to understand it better myself, I present to you the embedding problem, Ryser's Theorem, and another more contemporary extension.