Department of Mathematics
Latin transversals of rectangular arrays
- Author(s): Stein, Sherman K.
- et al.
Published Web Locationhttps://arxiv.org/pdf/math/0107066.pdf
Let m and n be integers, $2 \leq m \leq n$. An m by n array consists of mn cells, arranged in m rows and n columns, and each cell contains exactly one symbol. A transversal of an array consists of m cells, one from each row and no two from the same column. A latin transversal is a transversal in which no symbol appears more than once. We will establish a sufficient condition that a 3 by n array has a latin transversal.