{
  "id": "1111.5656",
  "version": "v1",
  "published": "2011-11-24T00:27:41.000Z",
  "updated": "2011-11-24T00:27:41.000Z",
  "title": "On empty pentagons and hexagons in planar point sets",
  "authors": [
    "Pavel Valtr"
  ],
  "categories": [
    "math.CO",
    "cs.CG"
  ],
  "abstract": "We give improved lower bounds on the minimum number of $k$-holes (empty convex $k$-gons) in a set of $n$ points in general position in the plane, for $k=5,6$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-24T00:27:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "planar point sets",
      "empty pentagons",
      "lower bounds",
      "minimum number",
      "empty convex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.5656V"
    }
  }
}