By Kassie Archer and Aaron Geary

In a recent paper, Bona and Smith define the notion of *strong avoidance*, in which a permutation and its square both avoid a given pattern. In this paper, we generalize this idea to what we call *chain avoidance*. We say that a permutation avoids a chain of patterns $(\tau_1 :... Show more

December 22, 2023

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Powers of permutations that avoid chains of patterns

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