Szabó, S. Transversals of rectangular arrays. (English) Zbl 1174.05118 Acta Math. Univ. Comen., New Ser. 77, No. 2, 279-284 (2008). The paper deals with \(mn\) rectangular arrays whose \(mn\) cells are filled with symbols. A section of the array consists of \(m\) cells, one from each row and no two from the same column. The paper focuses on the existence of sections that do contain symbols with high multiplicity. Reviewer: Martin Kochol (Bratislava) MSC: 05D15 Transversal (matching) theory 05B15 Orthogonal arrays, Latin squares, Room squares Keywords:Latin square; array; transversal; section; probabilistic method; Lovasz local lemma PDFBibTeX XMLCite \textit{S. Szabó}, Acta Math. Univ. Comen., New Ser. 77, No. 2, 279--284 (2008; Zbl 1174.05118) Full Text: EuDML