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math.CO2025
The Power Contamination Problem on Grids Revisited: Optimality, Combinatorics, and Links to Integer Sequences
El-Mehdi Mehiri, Mohammed L. Nadji
This paper presents a combinatorial study of the power contamination problem, a dynamic variant of power domination modeled on grid graphs. We resolve a conjecture posed by Ainouch…
math.CO2025
Arithmetic properties of -Schur overpartitions
Mohammed L. Nadji, Manjil P. Saikia, James A. Sellers
In a recent work, Nadji and Ahmia introduced the -Schur overpartitions as an overpartition analogue for -Schur partitions, which generalizes the classical Schur's partitions…
math.CO2024
-Modular, -congruent and -duplicate partitions
Mohammed L. Nadji, Ahmia Moussa
In this paper, we investigate the combinatorial properties of three classes of integer partitions: (1) -modular partitions, a class consisting of partitions into parts with a nu…