On the computation of the Omega invariant of a numerical semigroup by optimizing over an efficient integer set

Details On the computation of the Omega invariant of a numerical semigroup by optimizing over an efficient integer set On the computation of the Omega invariant of a numerical semigroup by optimizing over an efficient integer set

2010-07-19

arxiv.org/abs/1007.3125v2

Mathematics

Optimization and Control

23 pages, 3 tables

Scientific paper

In this paper we present a mathematical formulation for the omega invariant of a numerical semigroup for each of its minimal generators. The model consists of solving a problem of optimizing a linear function over the efficient set of a multiobjective linear integer program. We offer a methodology to solve this problem and we provide some computational experiments to show the applicability of the proposed algorithm.

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