On transversals in Latin squares
\textit{H. J. Ryser} [Neuere Probleme in der Kombinatorik (prepared by \textit{D. W. Miller}), in Vorträge über Kombinatorik, Oberwolfach, 1967, pp. 69-91; see also: \textit{H. J. Ryser}, Some recent problems in combinatorial mathematics, Inf. Process., Proc. IFIP Congr., N. Y. City 1965, 494-496 (1966; Zbl 0178.336)] conjectured that the number of transversals of a Latin square is odd if and only if the Latin square is of odd order. The present paper proves that the number of transversals of a Latin square of even order is even.
scientific article; zbMATH DE number 4154456