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Matrix rank certification.

Saunders, B. David, Storjohann, Arne, Villard, Gilles (2004)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Minimal resolutions of lattice ideals and integer linear programming.

Emilio Briales-Morales, Antonio Campillo-López, Pilar Pisón-Casares, Alberto Vigneron-Tenorio (2003)

Revista Matemática Iberoamericana

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.

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