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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The Dinitz problem solved for rectangles
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by Jeannette C. M. Janssen PDF
Bull. Amer. Math. Soc. 29 (1993), 243-249 Request permission

Abstract:

The Dinitz conjecture states that, for each n and for every collection of n-element sets ${S_{ij}}$, an $n \times n$ partial latin square can be found with the $(i,j){\text {th}}$ entry taken from ${S_{ij}}$. The analogous statement for $(n - 1) \times n$ rectangles is proven here. The proof uses a recent result by Alon and Tarsi and is given in terms of even and odd orientations of graphs.
References
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 29 (1993), 243-249
  • MSC (2000): Primary 05B15; Secondary 05C15
  • DOI: https://doi.org/10.1090/S0273-0979-1993-00430-0
  • MathSciNet review: 1215310