Do $K_{3,3}$-Free Latin Squares Exist?

Aleksandr D. Krotov, Denis S. Krotov

We discuss the problem of the existence of latin squares without a substructure consisting of six elements $(r_1,c_2,l_3)$, $(r_2,c_3,l_1)$, $(r_3,c_1,l_2)$, $(r_2,c_1,l_3)$, $(r_3…