Counting symmetric and non-symmetric peaks in a set partition
Combinatorics
2024-08-21 v3
Abstract
The aim of this paper is to derive explicit formulas for two distinct values. The first is the total number of symmetric peaks in a set partition of with exactly blocks, and the second one is the total number of non-symmetric peaks in a set partition of with exactly blocks. We represent these results in two ways. First by using the theory of generating functions, and the second by using combinatorial tools.
Keywords
Cite
@article{arxiv.2401.01687,
title = {Counting symmetric and non-symmetric peaks in a set partition},
author = {Walaa Asakly and Noor Kezil},
journal= {arXiv preprint arXiv:2401.01687},
year = {2024}
}