3 papers
cs.DM2021
Enumeration of parallelogram polycubes
Abderrahim Arabi, Hacène Belbachir, Jean-Philippe Dubernard
In this paper, we enumerate parallelogram polycubes according to several parameters. After establishing a relation between Multiple Zeta Function and the Dirichlet generating funct…
math.CO2019
Directed Plateau Polyhypercubes
Abderrahim Arabi, Hacène Belbachir, Jean-Philippe Dubernard
In this paper, we study a particular family of polyhypercubes in dimension , the directed plateau polyhypercubes, according to to the width and a new parameter the lateral…
math.CO2018
Plateau Polycubes and Lateral Area
Abderrahim Arabi, Hacène Belbachir, Jean-Philippe Dubernard
In this paper, we enumerate two families of polycubes, the directed plateau polycubes and the plateau polycubes, with respect to the width and a new parameter, the Lateral Area. We…