{
  "id": "1505.07090",
  "version": "v1",
  "published": "2015-05-26T19:41:00.000Z",
  "updated": "2015-05-26T19:41:00.000Z",
  "title": "A note on cover free families",
  "authors": [
    "Mehdi Azadimotlagh"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1410.4361",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let N((r,w;d),t) denote the minimum number of points in a (r,w;d)-cover-free family having t blocks. Hajiabolhassan and Moazami (2012)[6] showed that the Hadamard conjecture is equivalent to confirm N((1,1;d)4d-1)=4d-1. Hence, it is a challenging and interesting problem to determine the exact value of N((r,w;d),t). In this paper, we determine the exact value of N((r,w;d),t) for every r, w, where r+w<t+1 and some d.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-26T19:41:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cover free families",
      "exact value",
      "hadamard conjecture",
      "minimum number",
      "equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150507090A"
    }
  }
}