{
  "id": "1712.06078",
  "version": "v1",
  "published": "2017-12-17T09:21:56.000Z",
  "updated": "2017-12-17T09:21:56.000Z",
  "title": "Reflexive polytopes arising from edge polytopes",
  "authors": [
    "Takahiro Nagaoka",
    "Akiyoshi Tsuchiya"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "It is known that every lattice polytope is unimodularly equivalent to a face of some reflexive polytope. A stronger question is to ask whether every $(0,1)$-polytope is unimodularly equivalent to a facet of some reflexive polytope. A large family of $(0,1)$-polytopes are the edge polytopes of finite simple graphs. In the present paper, it is shown that, by giving a new class of reflexive polytopes, each edge polytope is unimodularly equivalent to a facet of some reflexive polytope. Furthermore, we extend the characterization of normal edge polytopes to a characterization of normality for these new reflexive polytopes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-17T09:21:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B12",
      "52B20"
    ],
    "keywords": [
      "reflexive polytopes arising",
      "unimodularly equivalent",
      "normal edge polytopes",
      "finite simple graphs",
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}