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Standard Young Tableaux and Colored Motzkin Paths

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 نشر من قبل Sen-Peng Eu
 تاريخ النشر 2013
  مجال البحث
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In this paper, we propose a notion of colored Motzkin paths and establish a bijection between the $n$-cell standard Young tableaux (SYT) of bounded height and the colored Motzkin paths of length $n$. This result not only gives a lattice path interpretation of the standard Young tableaux but also reveals an unexpected intrinsic relation between the set of SYTs with at most $2d+1$ rows and the set of SYTs with at most 2d rows.



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