{
  "id": "1910.08253",
  "version": "v1",
  "published": "2019-10-18T04:16:06.000Z",
  "updated": "2019-10-18T04:16:06.000Z",
  "title": "Random Graphs from Random Matrices",
  "authors": [
    "Igor Rivin"
  ],
  "categories": [
    "math.PR",
    "hep-th"
  ],
  "abstract": "We use the order complex corresponding to a symmetric matrix (defined by Giusti et al in 2015). In this note, we use it to define a class of models of random graphs, and show some surprising experimental results, showing sharp phase transitions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-18T04:16:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C80",
      "97K30",
      "60B20"
    ],
    "keywords": [
      "random graphs",
      "random matrices",
      "showing sharp phase transitions",
      "symmetric matrix",
      "surprising experimental results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}