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Enumerating two permutation classes by the number of cycles

We enumerate permutations in the two permutation classes $\text{Av}_n(312, 4321)$ and $\text{Av}_n(321, 4123)$ by the number of cycles each permutation admits. We also refine this enumeration with respect to several statistics.

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Autor principal: Kassie Archer
Format: Artigo
Idioma:Inglês
Publicat: Discrete Mathematics & Theoretical Computer Science 2022-10-01
Col·lecció:Discrete Mathematics & Theoretical Computer Science
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Accés en línia:https://dmtcs.episciences.org/6173/pdf
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