{
  "id": "1602.02634",
  "version": "v1",
  "published": "2016-02-08T16:27:52.000Z",
  "updated": "2016-02-08T16:27:52.000Z",
  "title": "Around the Complete Intersection Theorem",
  "authors": [
    "Gyula O. H. Katona"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The celebrated theorem of Ahlswede and Khachatrian determines the maximum size of a family of $k$-element subsets of an $n$-element set where the intersection of any two subsets has at least $r$ elements. This survey first gives a historical introduction, then it shows some applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-08T16:27:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D05"
    ],
    "keywords": [
      "complete intersection theorem",
      "khachatrian determines",
      "element subsets",
      "element set",
      "survey first"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160202634K"
    }
  }
}