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Fertility Numbers of Consecutive $S_3$ Pattern-Avoiding Stack-Sorting maps

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arxiv 2408.05378 v2 pith:Y5EB4I7E submitted 2024-08-09 math.CO

Jurgis Kemeklis This is my paper · ORCID
classification math.CO
keywords conjecturefertilitynumbersstack-sortingconsecutiveconsecutive-pattern-avoidingdefantends
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abstract

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 $\textrm{SC}_\sigma$, which resolves conjecture 8.3 from Defant and Zheng. The paper ends with a conjecture.

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