{
  "id": "math/0512400",
  "version": "v2",
  "published": "2005-12-16T19:26:27.000Z",
  "updated": "2007-07-23T17:51:04.000Z",
  "title": "A quadratic lower bound for colourful simplicial depth",
  "authors": [
    "Tamon Stephen",
    "Hugh Thomas"
  ],
  "comment": "4 pages, revised style and organization",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that any point in the convex hull of each of (d+1) sets of (d+1) points in R^d is contained in at least floor((d+2)^2/4) simplices with one vertex from each set.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-07-23T17:51:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C45",
      "52A35"
    ],
    "keywords": [
      "quadratic lower bound",
      "colourful simplicial depth",
      "convex hull"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12400S"
    }
  }
}