4 citations · 5 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Dirichlet convolution and enumeration of pyramid polycubes
Christophe Carré, Noemie Debroux, Matthieu Deneufchatel +4
We investigate the enumeration of two families of polycubes, namely pyramids and espaliers, in connection with the multi-indexed Dirichlet convolution
Two-Sided Derivatives for Regular Expressions and for Hairpin Expressions
Jean-Marc Champarnaud, Jean-Philippe Dubernard, Hadrien Jeanne +1
The aim of this paper is to design the polynomial construction of a finite recognizer for hairpin completions of regular languages. This is achieved by considering completions as n…