This paper provides a general method for finding a critical set for any Latin square of order \(n\). This method is used to prove the existence of critical sets of various sizes. It has also been applied to all main classes of Latin squares of order seven, thereby producing a critical set for each Latin square of order seven.
Citation
Diane Donovan, Adelle Howse. Critical Sets For Latin Squares of Order \(7\)[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 028. 113-123. .