{
  "id": "1301.4946",
  "version": "v6",
  "published": "2013-01-21T18:23:51.000Z",
  "updated": "2014-11-08T14:44:00.000Z",
  "title": "Binary matroids and local complementation",
  "authors": [
    "Lorenzo Traldi"
  ],
  "comment": "This article supersedes arXiv:1301.0293. v2: 26 pages, 2 figures. v3 - v5: 31 pages, 2 figures v6: Final prepublication version",
  "journal": "European Journal of Combinatorics 45 (2015), 21-40",
  "doi": "10.1016/j.ejc.2014.10.001",
  "categories": [
    "math.CO"
  ],
  "abstract": "We introduce a binary matroid M(IAS(G)) associated with a looped simple graph G. M(IAS(G)) classifies G up to local equivalence, and determines the delta-matroid and isotropic system associated with G. Moreover, a parametrized form of its Tutte polynomial yields the interlace polynomials of G.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-10-31T22:55:39.000Z",
      "comment": "This article supersedes arXiv:1301.0293. v2: 26 pages, 2 figures. v3 - v5: 31 pages, 2 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v6",
      "updated": "2014-11-08T14:44:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50"
    ],
    "keywords": [
      "binary matroid",
      "local complementation",
      "tutte polynomial yields",
      "looped simple graph",
      "interlace polynomials"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.4946T"
    }
  }
}