3 papers
math.CO2024
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…
math.CO2024
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-…
math.AC2023
Systems of ideals parametrized by combinatorial structures
Robert P. Laudone, Andrew Snowden
A symmetric chain of ideals is a rule that assigns to each finite set an ideal in the polynomial ring such that if is an emb…