{
  "id": "1002.2839",
  "version": "v1",
  "published": "2010-02-15T09:30:02.000Z",
  "updated": "2010-02-15T09:30:02.000Z",
  "title": "Separation of integer points by a hyperplane under some weak notions of discrete convexity",
  "authors": [
    "Takuya Kashimura",
    "Yasuhide Numata",
    "Akimichi Takemura"
  ],
  "comment": "18 pages,4 figures",
  "journal": "Discrete Math. 313 (2013), no. 1, 8-18",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give some sufficient conditions of separation of two sets of integer points by a hyperplane. Our conditions are related to the notion of convexity of sets of integer points and are weaker than existing notions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-15T09:30:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A37"
    ],
    "keywords": [
      "integer points",
      "discrete convexity",
      "weak notions",
      "separation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.2839K"
    }
  }
}