{
  "id": "2109.09200",
  "version": "v1",
  "published": "2021-09-19T19:34:49.000Z",
  "updated": "2021-09-19T19:34:49.000Z",
  "title": "Deformation cones of graph associahedra and nestohedra",
  "authors": [
    "Arnau Padrol",
    "Vincent Pilaud",
    "Germain Poullot"
  ],
  "comment": "23 pages, 7 figures. arXiv admin note: text overlap with arXiv:1906.06861",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give the facet description of the deformation cones of graph associahedra and nestohedra, generalizing the classical parametrization of the family of deformed permutahedra by the cone of submodular functions. When the underlying building set is made of intervals, this yields in particular to the construction of kinematic nestohedra generalizing the kinematic associahedra that recently appeared in the theory of scattering amplitudes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-19T19:34:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B11",
      "52B12",
      "52B35",
      "05E45"
    ],
    "keywords": [
      "graph associahedra",
      "deformation cones",
      "facet description",
      "submodular functions",
      "kinematic associahedra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}