Minimal resolutions of lattice ideals and integer linear programming.

  1. Briales Morales, Emilio
  2. Campillo López, Antonio
  3. Pisón-Casares, Pilar
  4. Vigneron-Tenorio, Alberto
Revue:
Revista matemática iberoamericana

ISSN: 0213-2230

Année de publication: 2003

Volumen: 19

Número: 2

Pages: 287-306

Type: Article

DOI: 10.4171/RMI/347 DIALNET GOOGLE SCHOLAR

D'autres publications dans: Revista matemática iberoamericana

Résumé

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.