{
  "id": "1205.0522",
  "version": "v4",
  "published": "2012-05-02T18:51:09.000Z",
  "updated": "2013-07-28T16:14:03.000Z",
  "title": "On two classes of nearly binary matroids",
  "authors": [
    "James Oxley",
    "Jesse Taylor"
  ],
  "comment": "14 pages, 4 figures. This paper has been accepted for publication in the European Journal of Combinatorics. This is the final version of the paper",
  "doi": "10.1016/j.ejc.2013.07.017",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give an excluded-minor characterization for the class of matroids M in which M\\e or M/e is binary for all e in E(M). This class is closely related to the class of matroids in which every member is binary or can be obtained from a binary matroid by relaxing a circuit-hyperplane. We also provide an excluded-minor characterization for the second class.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-07-28T16:14:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35"
    ],
    "keywords": [
      "binary matroid",
      "excluded-minor characterization",
      "second class"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.0522O"
    }
  }
}