Boualam Rezig

most citedCombinatorics of three-Catalan numbers and some positivities

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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.CO2025★ 1 cited

Combinatorics of three-Catalan numbers and some positivities

Boualam Rezig, Moussa Ahmia

We introduce the three-Catalan triangle, highlighting the three-Catalan numbers along with their recurrence relation and combinatorial interpretation, which allows us to establish…

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

Combinatorics of three-Catalan numbers and some positivities

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