Constraining Strong c-Wilf Equivalence Using Cluster Poset Asymptotics

Mitchell Lee, Ashwin Sah

Let $\pi \in {\mathfrak{S}}_m$ and $\sigma \in {\mathfrak{S}}_n$ be permutations. An occurrence of $\pi$ in $\sigma$ as a consecutive pattern is a subsequence ${\sigma }_i{\sigma }_{i+1}\cdots {\sigma }_{i+m-1}$ of $\sigma$ wit…