{
  "id": "1904.03638",
  "version": "v1",
  "published": "2019-04-07T12:29:28.000Z",
  "updated": "2019-04-07T12:29:28.000Z",
  "title": "2-neighborly 0/1-polytopes of dimension 7",
  "authors": [
    "Aleksandr Maksimenko"
  ],
  "comment": "8 pages, 1 figure, 6 tables",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give a complete enumeration of all 2-neighborly 0/1-polytopes of dimension 7. There are 13 959 358 918 different 0/1-equivalence classes of such polytopes. They form 5 850 402 014 combinatorial classes and 1 274 089 different f-vectors. It enables us to list some of their combinatorial properties. In particular, we have found a 2-neighborly polytope with 14 vertices and 16 facets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-07T12:29:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52Bxx"
    ],
    "keywords": [
      "complete enumeration",
      "combinatorial classes",
      "combinatorial properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}