Minimal resolutions of lattice ideals and integer linear programming.
- Briales Morales, Emilio
- Campillo López, Antonio
- Pisón-Casares, Pilar
- Vigneron-Tenorio, Alberto
ISSN: 0213-2230
Year of publication: 2003
Volume: 19
Issue: 2
Pages: 287-306
Type: Article
More publications in: Revista matemática iberoamericana
Abstract
A combinatorial description of the minimal free resolution of a lattice ideal allows us to the connection of Integer Linear Programming and Al1gebra. The non null reduced homology spaces of some simplicial complexes are the key. The extremal rays of the associated cone reduce the number of variables.