3 papers
math.CO2025
Sum of elements preceding records in set partitions
Walaa Asakly, Noor Kezil
In this paper, we aim to derive an explicit formula for the total number of elements preceding records over all set partitions of with exactly blocks, as well as an asymp…
math.CO2025
Enumerating k-connected blocks and gk-connected blocks in words
Walaa Asakly, Noor Kezil
We define two new statistics on words: the k-connector and the gk-connector. For a word of length over the alphabet , a k-connector is defined as…
math.CO2024
Counting symmetric and non-symmetric peaks in a set partition
Walaa Asakly, Noor Kezil
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,…