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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the chromatic number of Kneser hypergraphs
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by Jiří Matoušek PDF
Proc. Amer. Math. Soc. 130 (2002), 2509-2514 Request permission

Abstract:

We give a simple and elementary proof of Kříž’s lower bound on the chromatic number of the Kneser $r$-hypergraph of a set system $\mathcal {S}$.
References
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Additional Information
  • Jiří Matoušek
  • Affiliation: Department of Applied Mathematics and Institute of Theoretical Computer Science (ITI), Charles University, Malostranské nám. 25, 118 00 Praha 1, Czech Republic
  • Email: matousek@kam.mff.cuni.cz
  • Received by editor(s): January 12, 2000
  • Received by editor(s) in revised form: March 30, 2001
  • Published electronically: January 23, 2002
  • Additional Notes: This research was supported by Charles University grants No. 158/99 and 159/99
  • Communicated by: John R. Stembridge
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 2509-2514
  • MSC (2000): Primary 05C15, 05C65
  • DOI: https://doi.org/10.1090/S0002-9939-02-06371-2
  • MathSciNet review: 1900856