2 papers
math.CO2026
Pattern avoidance in permutations and their rotations
Ãmer EÄecioÄlu, Collier Gaiser, Mei Yin
A rotation of a permutation is a new permutation obtained by moving the first several terms of the permutation to the end of the permutation. A circular permutation is the set of a…
math.CO2026
Enumerating pattern-avoiding permutations by leading terms
Ãmer EÄecioÄlu, Collier Gaiser, Mei Yin
The number of 123-avoiding permutation on with a fixed leading terms is counted by the ballot numbers. The same holds for -avoiding permutations. These resu…