Moussa Ahmia

collaborators

3 papers

math.CO2025

Inversions in Colored Permutations, Derangements, and Involutions

Moussa Ahmia, José L. Ramírez, Diego Villamizar

Arslan, Altoum, and Zaarour introduced an inversion statistic for generalized symmetric groups. In this work, we study the distribution of this statistic over colored permutations,…

math.CO2025

Enumeration on polyominoes determined by Catalan words avoiding $(\geq, \geq)$

M. Ahmia, J. -L. Baril, B. Rezig

A Catalan word of length $n$ that avoids the pattern $(\geq, \geq)$ is a sequence $w = w_{1} \dots w_{n}$ with $w_{1} = 0$ and $0 \leq w_{i} \leq w_{i - 1} + 1$ for all $i$ , while ensuring that no s…

math.CO2024

Combinatorics of $q$ -Mahonian numbers of type $B$ and log-concavity

Ali Kessouri, Moussa Ahmia, Hasan Arslan +1

This paper is a continuation of earlier work of Arslan \cite{Ars}, who introduced the Mahonian number of type $B$ by using a new statistic on the hyperoctahedral group $B_{n}$ , in…

Inversions in Colored Permutations, Derangements, and Involutions

Enumeration on polyominoes determined by Catalan words avoiding (≥,≥)

Combinatorics of q-Mahonian numbers of type B and log-concavity

Enumeration on polyominoes determined by Catalan words avoiding $(\geq, \geq)$

Combinatorics of $q$ -Mahonian numbers of type $B$ and log-concavity