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

Ano de publicación: 2003

Volume: 19

Número: 2

Páxinas: 287-306

Tipo: Artigo

DOI: 10.4171/RMI/347 DIALNET GOOGLE SCHOLAR

Outras publicacións en: Revista matemática iberoamericana

Resumo

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.