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

Published 9 Aug 2024 in math.CO | (2408.05378v2)

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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Authors (1)

Jurgis Kemeklis

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