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
Revista:
Revista matemática iberoamericana

ISSN: 0213-2230

Any de publicació: 2003

Volum: 19

Número: 2

Pàgines: 287-306

Tipus: Article

DOI: 10.4171/RMI/347 DIALNET GOOGLE SCHOLAR

Altres publicacions en: Revista matemática iberoamericana

Resum

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.