Efficient recurrence for the enumeration of permutations with fixed pinnacle set

Initiated by Davis, Nelson, Petersen and Tenner (2018), the enumerative study of pinnacle sets of permutations has attracted a fair amount of attention recently. In this article, we provide a recurrence that can be used to compute efficiently the number $|\mathfrak{S}_n(P)|$ of permutations of size...

Full description

Bibliographic Details
Main Author: Wenjie Fang
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2022-03-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/8321/pdf