{
  "id": "1101.4691",
  "version": "v1",
  "published": "2011-01-25T00:12:34.000Z",
  "updated": "2011-01-25T00:12:34.000Z",
  "title": "Certifying Non-representability of Matroids Over Prime Fields",
  "authors": [
    "Jim Geelen",
    "Geoff Whittle"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "It is proved that, for a prime number $p$, showing that an $n$-element matroid is not representable over $GF(p)$ requires only $O(n^2)$ rank evaluations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-25T00:12:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35"
    ],
    "keywords": [
      "prime fields",
      "certifying non-representability",
      "prime number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.4691G"
    }
  }
}