Latin transversals of rectangular arrays

dc.creatorStein, Sherman K.
dc.date2001-07-09
dc.date2001-09-18
dc.date.accessioned2026-07-07T04:42:32Z
dc.date.available2026-07-07T04:42:32Z
dc.descriptionLet 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.
dc.descriptionTheorem 4 has been added, which provides a lower bound on L(m,n)
dc.identifierhttps://arxiv.org/abs/math/0107066
dc.identifierhttp://arxiv.org/abs/math/0107066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61823
dc.subjectCombinatorics
dc.titleLatin transversals of rectangular arrays
dc.typetext

Files

Collections