{
  "id": "1101.1246",
  "version": "v4",
  "published": "2011-01-06T16:35:47.000Z",
  "updated": "2011-06-26T18:10:43.000Z",
  "title": "On the linear algebra of local complementation",
  "authors": [
    "Lorenzo Traldi"
  ],
  "comment": "22 pages, 5 figures. v2 includes two new results and several minor corrections. v3 includes minor corrections and updated references. v4 has 24 pages and 6 figures; it includes new examples and many modest corrections and revisions. Further revisions may be made before publication in Linear Algebra and its Applications",
  "categories": [
    "math.CO"
  ],
  "abstract": "We explore the connections between the linear algebra of symmetric matrices over GF(2) and the circuit theory of 4-regular graphs. In particular, we show that the equivalence relation on simple graphs generated by local complementation can also be generated by an operation defined using inverse matrices.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-06-26T18:10:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50"
    ],
    "keywords": [
      "local complementation",
      "linear algebra",
      "equivalence relation",
      "symmetric matrices",
      "inverse matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.1246T"
    }
  }
}