{
  "id": "2111.07323",
  "version": "v1",
  "published": "2021-11-14T12:12:38.000Z",
  "updated": "2021-11-14T12:12:38.000Z",
  "title": "Covering functionals of convex polytopes with few vertices",
  "authors": [
    "Xia Li",
    "Lingxu Meng",
    "Senlin Wu"
  ],
  "doi": "10.1007/s00013-022-01727-z",
  "categories": [
    "math.MG"
  ],
  "abstract": "By using elementary yet interesting observations and refining techniques used in a recent work by Fei Xue et al., we present new upper bounds for covering functionals of convex polytopes in $\\mathbb{R}^n$ with few vertices. In these estimations, no information other than the number of vertices of the convex polytope is used.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-11-14T12:12:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A20",
      "52A10",
      "52A15",
      "52C17"
    ],
    "keywords": [
      "convex polytope",
      "covering functionals",
      "fei xue",
      "upper bounds",
      "interesting observations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}