On even and odd latin squares

DOI10.1016/0097-3165(95)90115-9zbMath0819.05016OpenAlexW1983222127MaRDI QIDQ1344239

Jeannette C. M. Janssen

Publication date: 27 August 1995

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

Full work available at URL: https://doi.org/10.1016/0097-3165(95)90115-9

zbMATH Keywords

permutationAlon-Tarsi conjecturelatin squareisotopy and transformation groups

Mathematics Subject Classification ID

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

Related Items (14)

Hownotto prove the Alon-Tarsi conjecture ⋮ On even and odd latin squares ⋮ The Dinitz problem solved for rectangles ⋮ On the Dinitz conjecture and related conjectures ⋮ On the number of even and odd Latin squares of order \(p+1\) ⋮ Popular matchings in complete graphs ⋮ All-even Latin squares ⋮ Computing the autotopy group of a Latin square by cycle structure ⋮ Parity of sets of mutually orthogonal Latin squares ⋮ Parity of transversals of Latin squares ⋮ Geometric conditions for \(\square\)-irreducibility of certain representations of the general linear group over a non-Archimedean local field ⋮ A condition for the existence of zero coefficients in the powers of the determinant polynomial ⋮ The Alon-Tarsi conjecture: a perspective on the main results ⋮ An online version of Rota's basis conjecture

Cites Work

• On the number of 8\(\times 8\) Latin squares
• Colorings and orientations of graphs
• On the relations of various conjectures on Latin squares and straightening coefficients
• On even and odd latin squares
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