{
  "id": "2108.07051",
  "version": "v1",
  "published": "2021-08-16T12:42:36.000Z",
  "updated": "2021-08-16T12:42:36.000Z",
  "title": "Pendant appearances and components in random graphs from structured classes",
  "authors": [
    "Colin McDiarmid"
  ],
  "comment": "29 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We consider random graphs sampled uniformly from a structured class of graphs, such as the class of graphs embeddable in a given surface. We sharpen and extend earlier results on pendant appearances, concerning for example numbers of leaves; and obtain results on the asymptotic distribution of components other than the giant component, under quite general conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-16T12:42:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C80"
    ],
    "keywords": [
      "random graphs",
      "pendant appearances",
      "structured class",
      "extend earlier results",
      "giant component"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}