{
  "id": "0902.2071",
  "version": "v3",
  "published": "2009-02-12T10:10:11.000Z",
  "updated": "2009-07-12T01:26:38.000Z",
  "title": "The excluded minors for near-regular matroids",
  "authors": [
    "Rhiannon Hall",
    "Dillon Mayhew",
    "Stefan H. M. van Zwam"
  ],
  "comment": "42 pages and 3 figures. This final version contains some small changes for publication",
  "categories": [
    "math.CO"
  ],
  "abstract": "In unpublished work, Geelen proved that a matroid is near-regular if and only if it has no minor isomorphic to: U2,5; U3,5; the Fano plane and its dual; the non-Fano and its dual; the single-element deletion of AG(2,3), its dual, and the matroid obtained from it with a Delta-Y operation; and P8. We provide a proof of this characterization.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-07-12T01:26:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35"
    ],
    "keywords": [
      "near-regular matroids",
      "excluded minors",
      "fano plane",
      "delta-y operation",
      "single-element deletion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.2071H"
    }
  }
}