{
  "id": "1102.3483",
  "version": "v2",
  "published": "2011-02-17T03:10:57.000Z",
  "updated": "2013-10-05T00:41:40.000Z",
  "title": "The crossing number of cubes with small order",
  "authors": [
    "Guoqing Wang",
    "Haoli Wang",
    "Yuansheng Yang"
  ],
  "comment": "38 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The {\\it crossing number} of a graph $G$ is the minimum number of pairwise intersections of edges in a drawing of $G$. In this paper, we give the exact values of crossing numbers for some variations of hypercube with order at most four, including crossed cube, locally twisted cube and M\\\"{o}bius cube.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-05T00:41:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "crossing number",
      "small order",
      "minimum number",
      "exact values",
      "pairwise intersections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.3483W"
    }
  }
}