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On the Dinitz conjecture and related conjectures

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Publication:1901032
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DOI10.1016/0012-365X(94)00055-NzbMath0854.05020OpenAlexW2100234888WikidataQ56444939 ScholiaQ56444939MaRDI QIDQ1901032

Timothy Y. Chow

Publication date: 5 January 1997

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

Full work available at URL: https://doi.org/10.1016/0012-365x(94)00055-n


zbMATH Keywords

asymptotic enumerationbasispartial Latin squarecomplex vector spaceLatin rectanglesDinitz conjecture


Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Orthogonal arrays, Latin squares, Room squares (05B15)


Related Items (5)

Hownotto prove the Alon-Tarsi conjecture ⋮ Determinants, choices and combinatorics ⋮ An exchange property of matroids ⋮ Wide partitions, Latin tableaux, and Rota's basis conjecture ⋮ An online version of Rota's basis conjecture



Cites Work

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  • Colorings and orientations of graphs
  • On the relations of various conjectures on Latin squares and straightening coefficients
  • On Rota's problem about \(n\) bases in a rank \(n\) matroid
  • On even and odd latin squares
  • An exchange property of matroids
  • A note on list-colorings
  • The Asymptotic Number of Latin Rectangles


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