Divisors of the number of Latin rectangles

DOI10.1016/j.jcta.2009.03.019zbMath1230.05065OpenAlexW1971676750MaRDI QIDQ966063

Ian M. Wanless, Rebecca J. Stones

Publication date: 27 April 2010

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2009.03.019

zbMATH Keywords

Latin squaresLatin rectangles

Mathematics Subject Classification ID

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

Related Items (12)

Hownotto prove the Alon-Tarsi conjecture ⋮ On computing the number of Latin rectangles ⋮ The number of Latin squares of order 11 ⋮ Cycle structure of autotopisms of quasigroups and latin squares ⋮ Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups ⋮ A congruence connecting Latin rectangles and partial orthomorphisms ⋮ Enumerating partial Latin rectangles ⋮ Bounds on the number of autotopisms and subsquares of a Latin square ⋮ ON THE NUMBER OF LATIN RECTANGLES ⋮ Compound orthomorphisms of the cyclic group ⋮ Symmetries of partial Latin squares ⋮ The Order of Automorphisms of Quasigroups

Uses Software

• OEIS

Cites Work

• Enumeration formulas for latin and frequency squares
• Estimating the number of Latin rectangles by the fast simulation method
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• Proof of the Alon-Tarsi conjecture for \(n=2^rp\)
• Symmetric functions, Latin squares and Van der Corput's ``Scriptum 3
• Latin squares of order 10
• On the number of Latin squares
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• How Many Latin Squares are There?
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• A Recurrence Relation for Three-Line Latin Rectangles
• Congruences Connected with Three-Line Latin Rectangles
• Three-Line Latin Rectangles
• Asymptotic enumeration of Latin rectangles
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