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math.CO2023
Powers of permutations that avoid chains of patterns
Kassie Archer, Aaron Geary
In a recent paper, Bona and Smith define the notion of \textit{strong avoidance}, in which a permutation and its square both avoid a given pattern. In this paper, we generalize thi…
math.CO2023
Cyclic permutations avoiding patterns in both one-line and cycle forms
Kassie Archer, Ethan Borsh, Jensen Bridges +2
Let and be patterns of length three; that is . In this paper, we enumerate the set of cyclic permutations in that avoid…
math.CO2023★ 1 cited
Critical groups of arithmetical structures on star graphs and complete graphs
Kassie Archer, Alexander Diaz-Lopez, Darren Glass +1
An arithmetical structure on a finite, connected graph without loops is an assignment of positive integers to the vertices that satisfies certain conditions. Associated to each of…