{
  "id": "1110.6835",
  "version": "v1",
  "published": "2011-10-31T15:33:41.000Z",
  "updated": "2011-10-31T15:33:41.000Z",
  "title": "On the relative importance of excluded minors",
  "authors": [
    "Rhiannon Hall",
    "Dillon Mayhew",
    "Stefan H. M. van Zwam"
  ],
  "comment": "19 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "If EE is a set of matroids, then ex(EE) denotes the set of matroids that have no minor isomorphic to a member of EE. If EE' is a subset of EE, we say that EE' is /superfluous/ if ex(EE - EE') - ex(EE) contains only finitely many 3-connected matroids. We characterize the superfluous subsets of six well-known collections of excluded minors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-31T15:33:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35"
    ],
    "keywords": [
      "excluded minors",
      "relative importance",
      "well-known collections",
      "minor isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.6835H"
    }
  }
}