{
  "id": "1711.04276",
  "version": "v1",
  "published": "2017-11-12T11:41:45.000Z",
  "updated": "2017-11-12T11:41:45.000Z",
  "title": "A Stronger Version of the Union-closed Sets Conjecture",
  "authors": [
    "Zhen Cui",
    "Ze-Chun Hu"
  ],
  "comment": "24 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The union-closed sets conjecture (Frankl's conjecture) says that for any finite union-closed family of finite sets, other than the family consisting only of the empty set, there exists an element that belongs to at least half of the sets in the family. In this paper, we introduce a stronger version of Frankl's conjecture and give a partial proof.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-12T11:41:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "union-closed sets conjecture",
      "stronger version",
      "frankls conjecture",
      "finite sets",
      "empty set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}