{
  "id": "1909.10386",
  "version": "v1",
  "published": "2019-09-23T14:27:06.000Z",
  "updated": "2019-09-23T14:27:06.000Z",
  "title": "On particular diameter bounds for integral point sets in higher dimensions",
  "authors": [
    "N. N. Avdeev",
    "R. E. Zvolinsky",
    "E. A. Momot"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We give an attempt to build a classification of planar integral point sets. For two obtained classes, we provide general constructions of upper bounds for minimal diameter of integral point sets in higher dimensions of certain cardinality. Employing machine search, we give the examples of planar integral point sets to build such bounds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-23T14:27:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C10"
    ],
    "keywords": [
      "higher dimensions",
      "diameter bounds",
      "planar integral point sets",
      "upper bounds",
      "general constructions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}