Enumerating two permutation classes by the number of cyclesArticle
Authors: Kassie Archer 1
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Kassie Archer
1 The University of Texas at Tyler, USA
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.