On the number of transversals in \(n\)-ary quasigroups of order 4

DOI10.1134/S0001434617050170zbMath1370.20064OpenAlexW2651622600MaRDI QIDQ2401656

Anna A. Taranenko

Publication date: 4 September 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617050170

zbMATH Keywords

transversal\(n\)-ary quasigroupLatin hypercube

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Transversal (matching) theory (05D15) (n)-ary systems ((nge 3)) (20N15)

Cites Work

• Unnamed Item
• On the maximum number of Latin transversals
• The number of transversals in a Latin square
• Additive triples of bijections, or the toroidal semiqueens problem
• n-Ary Quasigroups of Order 4
• Multidimensional Permanents and an Upper Bound on the Number of Transversals in Latin Squares

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