José Manuel Jiménez Cobano, José María Ucha Enríquez
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Finding multiplies solutions for non-linear integer programming
We explain how to compute all the solutions of a nonlinear integer problem using the algebraic test-sets associated to some linear subproblem. These test-sets are obtained using Gröbner bases. We compare our method with previous approaches.
期刊介绍:
Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.