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Enumeration of Stack-Sorting Preimages via a Decomposition Lemma

We give three applications of a recently-proven "Decomposition Lemma," which allows one to count preimages of certain sets of permutations under West's stack-sorting map $s$. We first enumerate the permutation class $s^{-1}(\text{Av}(231,321))=\text{Av}(2341,3241,45231)$, finding a new example of an...

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Autor Principal: Colin Defant
Formato: Artigo
Idioma:Inglês
Publicado: Discrete Mathematics & Theoretical Computer Science 2021-04-01
Series:Discrete Mathematics & Theoretical Computer Science
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Acceso en liña:https://dmtcs.episciences.org/6709/pdf
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