{
  "id": "1812.04148",
  "version": "v1",
  "published": "2018-12-10T23:34:18.000Z",
  "updated": "2018-12-10T23:34:18.000Z",
  "title": "An existence result on two-orbit maniplexes",
  "authors": [
    "Pellicer Daniel",
    "Potočnik Primož",
    "Toledo Micael"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "A maniplex of rank n is a connected, n-valent, edge-coloured graph that generalises abstract polytopes and maps. If the automorphism group of a maniplex M partitions the vertex-set of M into k distinct orbits, we say that M is a k-orbit n-maniplex. The symmetry type graph of M is the quotient pregraph obtained by contracting every orbit into a single vertex. Symmetry type graphs of maniplexes satisfy a series of very specific properties. The question arises whether any pregraph of order k satisfying these properties is the symmetry type graph of some k-orbit maniplex. We answer the question when k = 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-10T23:34:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetry type graph",
      "two-orbit maniplexes",
      "existence result",
      "generalises abstract polytopes",
      "specific properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}