Ethan Borsh

collaborators

2 papers

math.CO2024

Cyclic permutations avoiding patterns in both one-line and cycle forms

Kassie Archer, Ethan Borsh, Jensen Bridges +2

Let $I ¨ $ and $I ¨ $ be patterns of length three; that is $I ¨ , I ¨ \in {123, 132, 213, 231, 312, 321}$ . In this paper, we enumerate the set of cyclic permutations in $S_{n}$ that a…

math.CO2024

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 $k (k - 1) \dots 21$ , whose cycle also demonstrates some pattern avoidance. If the cycle…