{
  "id": "1002.2357",
  "version": "v2",
  "published": "2010-02-11T15:07:39.000Z",
  "updated": "2016-08-22T09:52:53.000Z",
  "title": "Modular elimination in matroids and oriented matroids",
  "authors": [
    "Emanuele Delucchi"
  ],
  "comment": "6 pages; v2: text modified in order to better reflect the published version, references updated",
  "journal": "European Journal of Combinatorics 32 (2011) 339-343",
  "doi": "10.1016/j.ejc.2010.10.013",
  "categories": [
    "math.CO"
  ],
  "abstract": "We introduce a new axiomatization of matroid theory that requires the elimination property only among modular pairs of circuits, and we present a cryptomorphic phrasing thereof in terms of Crapo's axioms for flats. This new point of view leads to a corresponding strengthening of the circuit axioms for oriented matroids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-11T15:07:39.000Z",
      "comment": "6 pages"
    },
    {
      "version": "v2",
      "updated": "2016-08-22T09:52:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35"
    ],
    "keywords": [
      "oriented matroids",
      "modular elimination",
      "circuit axioms",
      "matroid theory",
      "elimination property"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.2357D"
    }
  }
}