{
  "id": "1106.1527",
  "version": "v1",
  "published": "2011-06-08T09:23:40.000Z",
  "updated": "2011-06-08T09:23:40.000Z",
  "title": "The set of numerical semigroups of a given genus",
  "authors": [
    "V. Blanco",
    "J. C. Rosales"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CO",
    "math.AC",
    "math.NT"
  ],
  "abstract": "In this paper we present a new approach to construct the set of numerical semigroups with a fixed genus. Our methodology is based on the construction of the set of numerical semigroups with fixed Frobenius number and genus. An equivalence relation is given over this set and a tree structure is defined for each equivalence class. We also provide a more efficient algorithm based in the translation of a numerical semigroup to its so-called Kunz-coordinates vector.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-08T09:23:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "20M14",
      "05C05"
    ],
    "keywords": [
      "numerical semigroup",
      "kunz-coordinates vector",
      "efficient algorithm",
      "equivalence class",
      "tree structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.1527B"
    }
  }
}