Permutations that strongly avoid 132

Kassie Archer; Christina Graves

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arXiv · 2604.25912

Permutations that strongly avoid 132

Kassie Archer·Christina Graves

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Abstract

A permutation $π$ strongly avoids the pattern $τ$ if both $π$ and $π^2$ avoid $τ$. In this paper, we enumerate permutations of size $n$ that strongly avoid the pattern 132. This enumeration allows us to prove a conjecture that the growth rate of such permutations is 2.

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Kassie Archer, Christina Graves. 2026-04-28. Permutations that strongly avoid 132. https://arxiv.org/abs/2604.25912

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