Minimal resolutions of lattice ideals and integer linear programming.

Briales-Morales, Emilio, et al. "Minimal resolutions of lattice ideals and integer linear programming.." Revista Matemática Iberoamericana 19.2 (2003): 287-306. <http://eudml.org/doc/39592>.

@article{Briales2003,
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.},
author = {Briales-Morales, Emilio, Campillo-López, Antonio, Pisón-Casares, Pilar, Vigneron-Tenorio, Alberto},
journal = {Revista Matemática Iberoamericana},
keywords = {Geometría algebraica; Ideales; Retículo; Semigrupos; Programación entera; resolutions; simplicial complex; syzygy; lattice ideal; integer linear programming},
language = {eng},
number = {2},
pages = {287-306},
title = {Minimal resolutions of lattice ideals and integer linear programming.},
url = {http://eudml.org/doc/39592},
volume = {19},
year = {2003},
}

TY - JOUR
AU - Briales-Morales, Emilio
AU - Campillo-López, Antonio
AU - Pisón-Casares, Pilar
AU - Vigneron-Tenorio, Alberto
TI - Minimal resolutions of lattice ideals and integer linear programming.
JO - Revista Matemática Iberoamericana
PY - 2003
VL - 19
IS - 2
SP - 287
EP - 306
AB - 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.
LA - eng
KW - Geometría algebraica; Ideales; Retículo; Semigrupos; Programación entera; resolutions; simplicial complex; syzygy; lattice ideal; integer linear programming
UR - http://eudml.org/doc/39592
ER -