{
  "id": "1504.01706",
  "version": "v1",
  "published": "2015-04-07T19:08:39.000Z",
  "updated": "2015-04-07T19:08:39.000Z",
  "title": "Order-Chain Polytopes",
  "authors": [
    "Takayuki Hibi",
    "Nan Li",
    "Teresa Xueshan Li",
    "Lili Mu"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We introduce the notion of order-chain polytopes, which generalizes both order polytopes and chain polytopes arising from finite partially ordered sets. Since in general order-chain polytopes cannot be integral, the problem when order-chain polytopes are integral will be studied. Furthermore, we discuss the question whether every integral order-chain polytope is unimodularly equivalent to either an order polytope or a chain polytope. In addition, an observation on the volume of order-chain polytopes will be done.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-07T19:08:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "order polytope",
      "integral order-chain polytope",
      "general order-chain polytopes",
      "finite partially ordered sets",
      "chain polytopes arising"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150401706H"
    }
  }
}