Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.11914 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912443512389632 |
|---|---|
| author | Shieh, Hansen Yang, Michael Yu, Ashley |
| author_facet | Shieh, Hansen Yang, Michael Yu, Ashley |
| contents | In this paper, we introduce the dotted pattern-avoiding map $s_{\dotτ}$, which avoids the dotted pattern $\dotτ$ instead of descents as West's stack-sorting map $s$ does. We also extend the pattern-avoiding machine, which is composed of a $σ$ avoiding map and West's stack-sorting map $s$, to the dotted pattern-avoiding machine. In this paper, we prove the analogs of the classical results on West's stack sorting map for the length $2$ dotted pattern-avoiding maps. We end with several conjectures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11914 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stack-Sorting with Dotted-Pattern-Avoiding Stacks Shieh, Hansen Yang, Michael Yu, Ashley Combinatorics In this paper, we introduce the dotted pattern-avoiding map $s_{\dotτ}$, which avoids the dotted pattern $\dotτ$ instead of descents as West's stack-sorting map $s$ does. We also extend the pattern-avoiding machine, which is composed of a $σ$ avoiding map and West's stack-sorting map $s$, to the dotted pattern-avoiding machine. In this paper, we prove the analogs of the classical results on West's stack sorting map for the length $2$ dotted pattern-avoiding maps. We end with several conjectures. |
| title | Stack-Sorting with Dotted-Pattern-Avoiding Stacks |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2411.11914 |