Michael Waite

collaborators

3 papers

math.CO2026

A Bijective Proof of an Unbalanced Wilf Equivalence

Jensen Bridges, Michael Waite

We find a bijection to prove that the set of patterns {3412, 4321} is Wilf-equivalent to the set of patterns {3412, 4231, 45321, 54312}.

math.CO2026

Permutations with a fixed number of occurrences of a pattern: A case generalizing 231

Michael Waite

We determine a set of permutation patterns $q$ so that the number of permutations with $r$ occurrences of $q$ is asymptotically $n^{r}$ times the number of permutations avoiding $q$ ,…

math.CO2025

Permutations with a fixed number of occurrences of a monotone pattern

Michael Waite

We bound the number of permutations with a fixed number $r$ of $321 ⊖ p_{0}$ patterns by a constant times the number of permutations which avoid $321 ⊖ p_{0}$ . We use this…