On transversals in Latin squares

DOI10.1016/0024-3795(90)90378-PzbMath0704.05007MaRDI QIDQ916666

Krishnan Balasubramanian

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Latin squarestransversalsnumber of transversals

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (13)

The number of distinct symbols in sections of rectangular arrays ⋮ On the maximum number of Latin transversals ⋮ The number of transversals in a Latin square ⋮ Covers and partial transversals of Latin squares ⋮ Spectrum of permanent's values and its extremal magnitudes in \(\Lambda_n^3\) and \(\Lambda_n(\alpha,\beta,\gamma)\) ⋮ Permanents of multidimensional matrices: Properties and applications ⋮ The Bruhat order on classes of isotopic Latin squares ⋮ Parity of transversals of Latin squares ⋮ A generalization of plexes of Latin squares ⋮ Indivisible partitions of Latin squares ⋮ Covering radius for sets of permutations ⋮ Permanents and Determinants of Latin Squares ⋮ Transversals in \(m \times n\) arrays

Cites Work

• Has Every Latin Square of Order n a Partial Latin Transversal of Size n - 1?
• On permanents of circulants

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