{
  "id": "1306.4208",
  "version": "v1",
  "published": "2013-06-18T14:23:45.000Z",
  "updated": "2013-06-18T14:23:45.000Z",
  "title": "Convex Polytopes from Nested Posets",
  "authors": [
    "Satyan L. Devadoss",
    "Stefan Forcey",
    "Stephen Reisdorf",
    "Patrick Showers"
  ],
  "comment": "18 pages, 15 figures",
  "categories": [
    "math.CO",
    "math.AT",
    "math.QA"
  ],
  "abstract": "Motivated by the graph associahedron KG, a polytope whose face poset is based on connected subgraphs of G, we consider the notion of associativity and tubes on posets. This leads to a new family of simple convex polytopes obtained by iterated truncations. These generalize graph associahedra and nestohedra, even encompassing notions of nestings on CW-complexes. However, these poset associahedra fall in a different category altogether than generalized permutohedra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-18T14:23:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B11",
      "55P48",
      "18D50"
    ],
    "keywords": [
      "nested posets",
      "graph associahedron kg",
      "simple convex polytopes",
      "poset associahedra fall",
      "category altogether"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.4208D"
    }
  }
}