14 citations · 26 across the 27 of their papers we have counts for
4 papers · 1 filter
Pattern-restricted cyclic permutations with a pattern-restricted cycle form
Kassie Archer, Ethan Borsh, Jensen Bridges +2
In this paper, we consider cyclic permutations that avoid the monotone decreasing permutation , whose cycle also demonstrates some pattern avoidance. If the cycle…
Pattern avoidance and the fundamental bijection
Kassie Archer, Robert P. Laudone
The fundamental bijection is a bijection in which one uses the standard cycle form of one permutation to obtain another permutation in one-line fo…
Descents in powers of permutations
Kassie Archer, Aaron Geary
We consider a few special cases of the more general question: How many permutations have the property that has descents for some ? In this paper, w…
Pattern-restricted permutations of small order
Kassie Archer, Robert P. Laudone
We enumerate 132-avoiding permutations of order 3 in terms of the Catalan and Motzkin generating functions, answering a question of Bóna and Smith from 2019. We also enumerate 231-…