Enumeration of parallelogram polycubes
In this paper, we give the Dirichlet generating function of parallelogram polycubes according to the volume and the width in terms of multivariate zeta functions. We also enumerate them according to the width, the length and the depth. All these results are generalized to polyhypercubes.
Authors
- Jean-Philippe Dubernard
- Abderrahim Arabi (ORCID: https://orcid.org/0000-0002-1962-6957)
- Hacène Belbachir (ORCID: https://orcid.org/0000-0001-8540-3033)
Institutions
- University of Sciences and Technology Houari Boumediene (DZ)
- University of Algiers Benyoucef Benkhedda (DZ)
- Normandie Université (FR)
- Université de Rouen Normandie (FR)
Publication Details
- Journal
- Contributions to Discrete Mathematics
- Published
- 2025-10-28
- DOI
- https://doi.org/10.55016/ojs/cdm.v20i2.75407
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Direction Générale de la Recherche Scientifique et du Développement Technologique