{
  "id": "math/0511223",
  "version": "v1",
  "published": "2005-11-09T09:26:25.000Z",
  "updated": "2005-11-09T09:26:25.000Z",
  "title": "The toric ideal of a graphic matroid is generated by quadrics",
  "authors": [
    "Jonah Blasiak"
  ],
  "comment": "19 pages, 4 figures",
  "categories": [
    "math.CO",
    "math.RA"
  ],
  "abstract": "Describing minimal generating sets of toric ideals is a well-studied and difficult problem. Neil White conjectured in 1980 that the toric ideal associated to a matroid is generated by quadrics corresponding to single element symmetric exchanges. We give a combinatorial proof of White's conjecture for graphic matroids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-09T09:26:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35",
      "05C05"
    ],
    "keywords": [
      "toric ideal",
      "graphic matroid",
      "single element symmetric exchanges",
      "whites conjecture",
      "neil white"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11223B"
    }
  }
}