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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-…