{
  "id": "1501.00327",
  "version": "v1",
  "published": "2015-01-01T22:39:05.000Z",
  "updated": "2015-01-01T22:39:05.000Z",
  "title": "A splitter theorem for internally 4-connected binary matroids: small matroids",
  "authors": [
    "Carolyn Chun",
    "Dillon Mayhew",
    "James Oxley"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Our splitter theorem for internally 4-connected binary matroids studies pairs of the form (N,M), where N and M are internally 4-connected binary matroids, M has a proper N-minor and there is no internally 4-connected matroid that lies strictly between N and M in the minor-order on binary matroids. The analysis in the splitter theorem requires the constraint that |E(M)|>15. In this technical report, we complement that analysis by using an exhaustive search to find all such pairs satisfying 5 < |E(N)| < |E(M)|-3 < |E(M)| < 16.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-01T22:39:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35"
    ],
    "keywords": [
      "splitter theorem",
      "small matroids",
      "binary matroids studies pairs",
      "proper n-minor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}