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arXiv · 2312.05145

Cyclic permutations avoiding patterns in both one-line and cycle forms

Kassie Archer·Ethan Borsh·Jensen Bridges·Christina Graves·Millie Jeske
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Abstract

Let $σ$ and $τ$ be patterns of length three; that is $σ, τ\in \{123,132,213,231,312,321\}$. In this paper, we enumerate the set of cyclic permutations in $\mathcal{S}_n$ that avoid $σ$ in their one-line notation and another pattern $τ$ in their cycle notation.

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Kassie Archer, Ethan Borsh, Jensen Bridges, Christina Graves, Millie Jeske. 2024-09-02. Cyclic permutations avoiding patterns in both one-line and cycle forms. https://arxiv.org/abs/2312.05145

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