A k-plex of a latin square is a collection of cells representing each row, column, and symbol precisely k times. The classic case of k = 1 is more commonly known as a transversal....
In this paper, we consider the following question: what is the maximum number of entries that can be added to a partially lled latin square? The decision version of this question ...
Let L be chosen uniformly at random from among the latin squares of order n 4 and let r, s be arbitrary distinct rows of L. We study the distribution of r,s, the permutation of t...
Nicholas J. Cavenagh, Catherine S. Greenhill, Ian ...