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Artículo
An application of integer programming to the decomposition of numerical semigroups
(Society for Industrial and Applied Mathematics, 2012)
This paper addresses the problem of decomposing a numerical semigroup into mirreducible numerical semigroups. The problem originally stated in algebraic terms is translated, introducing the so-called Kunz-coordinates, to ...
Artículo
Partial Gröbner bases for multiobjective integer linear optimization
(Society for Industrial and Applied Mathematics, 2012)
This paper presents a new methodology for solving multiobjective integer linear programs (MOILP) using tools from algebraic geometry. We introduce the concept of partial Gr¨obner basis for a family of multiobjective programs ...