Fertility Numbers of Consecutive $S_3$ Pattern-Avoiding Stack-Sorting maps
Combinatorics
2024-09-17 v2
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 , which resolves conjecture 8.3 from Defant and Zheng. The paper ends with a conjecture.
Cite
@article{arxiv.2408.05378,
title = {Fertility Numbers of Consecutive $S_3$ Pattern-Avoiding Stack-Sorting maps},
author = {Jurgis Kemeklis},
journal= {arXiv preprint arXiv:2408.05378},
year = {2024}
}
Comments
11 pages, 3 figures