{
  "id": "1007.3125",
  "version": "v2",
  "published": "2010-07-19T11:48:06.000Z",
  "updated": "2010-08-05T09:51:09.000Z",
  "title": "On the computation of the Omega invariant of a numerical semigroup by optimizing over an efficient integer set",
  "authors": [
    "Víctor Blanco"
  ],
  "comment": "23 pages, 3 tables",
  "categories": [
    "math.OC",
    "math.AC"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-08-05T09:51:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "90C10",
      "90C29",
      "20M14"
    ],
    "keywords": [
      "efficient integer set",
      "omega invariant",
      "numerical semigroup",
      "optimizing",
      "multiobjective linear integer program"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.3125B"
    }
  }
}