Classical pattern distributions in $\mathcal{S}_{n}(132)$ and $\mathcal{S}_{n}(123)$

Dun Qiu; Jeffrey Remmel

doi:10.23638/DMTCS-21-2-4

Classical pattern distributions in $\mathcal{S}_{n}(132)$ and $\mathcal{S}_{n}(123)$

dmtcs:5088 - Discrete Mathematics & Theoretical Computer Science, November 4, 2019, Vol. 21 no. 2, Permutation Patters 2018 - https://doi.org/10.23638/DMTCS-21-2-4

Classical pattern distributions in $\mathcal{S}_{n}(132)$ and $\mathcal{S}_{n}(123)$ Article

Authors: Dun Qiu ; Jeffrey Remmel

Classical pattern avoidance and occurrence are well studied in the symmetric group $\mathcal{S}_{n}$ . In this paper, we provide explicit recurrence relations to the generating functions counting the number of classical pattern occurrence in the set of 132-avoiding permutations and the set of 123-avoiding permutations.

https://doi.org/10.23638/DMTCS-21-2-4

Source: arXiv.org:1810.10099

Volume: Vol. 21 no. 2, Permutation Patters 2018

Section: Permutation Patterns

Published on: November 4, 2019

Accepted on: October 15, 2019

Submitted on: January 17, 2019

Keywords: Mathematics - Combinatorics,05A05, 05A10, 05A15, 05A19

Licence: arXiv.org - Non-exclusive license to distribute