{
  "id": "2404.10325",
  "version": "v1",
  "published": "2024-04-16T07:10:25.000Z",
  "updated": "2024-04-16T07:10:25.000Z",
  "title": "Berry-Esseen bound of modularity in network",
  "authors": [
    "Yu Miao",
    "Qing Yin"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, the model is a specific partition of a given network. Berry-Esseen bound and strong law of large numbers of modularity for the partition are proved when the size of the network gets large.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-16T07:10:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C82",
      "60F05"
    ],
    "keywords": [
      "berry-esseen bound",
      "modularity",
      "large numbers",
      "strong law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}