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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.05378 |
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| _version_ | 1866913501231972352 |
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| author | Kemeklis, Jurgis |
| author_facet | Kemeklis, Jurgis |
| contents | In this paper, we show that for all length 3 patterns, all positive integers are fertility numbers for the consecutive-pattern-avoiding stack-sorting map $\textrm{SC}_σ$, which resolves conjecture 8.3 from Defant and Zheng. The paper ends with a conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05378 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fertility Numbers of Consecutive $S_3$ Pattern-Avoiding Stack-Sorting maps Kemeklis, Jurgis Combinatorics 05A05 In this paper, we show that for all length 3 patterns, all positive integers are fertility numbers for the consecutive-pattern-avoiding stack-sorting map $\textrm{SC}_σ$, which resolves conjecture 8.3 from Defant and Zheng. The paper ends with a conjecture. |
| title | Fertility Numbers of Consecutive $S_3$ Pattern-Avoiding Stack-Sorting maps |
| topic | Combinatorics 05A05 |
| url | https://arxiv.org/abs/2408.05378 |