Enumerations of some pattern-avoiding Fishburn permutations
Combinatorics
2024-02-23 v3
Abstract
In this paper, we prove two conjectures of Egge on the enumeration of several classes of pattern-avoiding Fishburn permutations. Our results include enumerating Fishburn permutations avoiding pattern 321 and one of the following three types of classical patterns: a pattern of size 4, two patterns of size 4, or a pattern of size 5.
Keywords
Cite
@article{arxiv.2302.13767,
title = {Enumerations of some pattern-avoiding Fishburn permutations},
author = {Yujie Du and Philip B. Zhang},
journal= {arXiv preprint arXiv:2302.13767},
year = {2024}
}
Comments
to appear in Discrete Math; we completely prove Conjectures 10.14 and 10.17 in arXiv:2208.01484