Enumerations of some pattern-avoiding Fishburn permutations

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.

arXiv commentto appear in Discrete Math; we completely prove Conjectures 10.14 and 10.17 in arXiv:2208.01484