{
  "id": "1611.05314",
  "version": "v1",
  "published": "2016-11-16T15:25:06.000Z",
  "updated": "2016-11-16T15:25:06.000Z",
  "title": "On a special class of general permutahedra",
  "authors": [
    "Geir Agnarsson"
  ],
  "comment": "23 pages, 1 figure",
  "categories": [
    "math.CO"
  ],
  "abstract": "Minkowski sums of simplices in ${\\mathbb{R}}^n$ form an interesting class of polytopes that seem to emerge in various situations. In this paper we discuss the Minkowski sum of the simplices $\\Delta_{k-1}$ in ${\\mathbb{R}}^n$ where $k$ and $n$ are fixed, their flags and some of their face lattice structure. In particular, we derive a closed formula for their {\\em exponential generating flag function}. These polytopes are simple, include both the simplex $\\Delta_{n-1}$ and the permutahedron $\\Pi_{n-1}$, and form a Minkowski basis for more general permutahedra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-16T15:25:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "52B05",
      "52B11"
    ],
    "keywords": [
      "general permutahedra",
      "permutahedron",
      "special class",
      "minkowski sum",
      "face lattice structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}