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Trivial colors in colorings of Kneser graphs

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 نشر من قبل Andrey Kupavskii
 تاريخ النشر 2020
  مجال البحث الهندسة المعلوماتية
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We show that any proper coloring of a Kneser graph $KG_{n,k}$ with $n-2k+2$ colors contains a trivial color (i.e., a color consisting of sets that all contain a fixed element), provided $n>(2+epsilon)k^2$, where $epsilonto 0$ as $kto infty$. This bound is essentially tight.



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