{
  "id": "1506.03343",
  "version": "v1",
  "published": "2015-06-10T14:57:36.000Z",
  "updated": "2015-06-10T14:57:36.000Z",
  "title": "Consistent random vertex-orderings of graphs",
  "authors": [
    "Paul Balister",
    "Béla Bollobás",
    "Svante Janson"
  ],
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "Given a hereditary graph property $\\mathcal{P}$, consider distributions of random orderings of vertices of graphs $G\\in\\mathcal{P}$ that are preserved under isomorphisms and under taking induced subgraphs. We show that for many properties $\\mathcal{P}$ the only such random orderings are uniform, and give some examples of non-uniform orderings when they exist.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-10T14:57:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "05C60",
      "60G09"
    ],
    "keywords": [
      "consistent random vertex-orderings",
      "random orderings",
      "hereditary graph property",
      "non-uniform orderings",
      "distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150603343B"
    }
  }
}