{
  "id": "1901.10734",
  "version": "v1",
  "published": "2019-01-30T10:00:39.000Z",
  "updated": "2019-01-30T10:00:39.000Z",
  "title": "A note on the relation between two properties of random graphs",
  "authors": [
    "Shohei Satake"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The t-existentially closed (t-e.c.) property and pseudo-random property are properties which random graphs asymptotically almost surely satisfy. In this note, by constructing explicit infinite families of graphs without probabilistic arguments, we show that the t-e.c. property does not necessarily imply the best possible pseudo-random property. We also discuss the relation between t-e.c. graphs and expander graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-30T10:00:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C25",
      "05C80"
    ],
    "keywords": [
      "random graphs",
      "pseudo-random property",
      "constructing explicit infinite families",
      "expander graphs",
      "probabilistic arguments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}