Transversals in completely reducible multiary quasigroups and in multiary quasigroups of order 4

DOI10.1016/j.disc.2017.09.008zbMath1376.05162arXiv1612.01797OpenAlexW2559811601MaRDI QIDQ1685991

Anna A. Taranenko

Publication date: 20 December 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01797

zbMATH Keywords

transversal\(n\)-ary quasigroupLatin hypercube

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Transversal (matching) theory (05D15)

Related Items (3)

Transversals, near transversals, and diagonals in iterated groups and quasigroups ⋮ Transversals, plexes, and multiplexes in iterated quasigroups ⋮ Positiveness of the permanent of 4-dimensional polystochastic matrices of order 4

Cites Work

• On the maximum number of Latin transversals
• The number of transversals in a Latin square
• An additive theorem and restricted sumsets
• Additive triples of bijections, or the toroidal semiqueens problem
• Latin squares with no transversals
• Permanents of multidimensional matrices: Properties and applications
• n-Ary Quasigroups of Order 4
• A Census of Small Latin Hypercubes
• Multidimensional Permanents and an Upper Bound on the Number of Transversals in Latin Squares
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