{
  "id": "2209.12053",
  "version": "v1",
  "published": "2022-09-24T17:06:29.000Z",
  "updated": "2022-09-24T17:06:29.000Z",
  "title": "Between graphical zonotope and graph-associahedron",
  "authors": [
    "Marko Pešović",
    "Tanja Stojadinović"
  ],
  "comment": "16 pages, 5 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "This manuscript introduces a finite collection of generalized permutohedra associated to a simple graph. The first polytope of this collection is the graphical zonotope of the graph and the last is the graph-associahedron associated to it. We describe the weighted integer points enumerators for polytopes in this collection as Hopf algebra morphisms of combinatorial Hopf algebras of decorated graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-24T17:06:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C22",
      "16T05",
      "52B11"
    ],
    "keywords": [
      "graphical zonotope",
      "graph-associahedron",
      "hopf algebra morphisms",
      "combinatorial hopf algebras",
      "weighted integer points enumerators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}