{
  "annotation_id": "65dd4b44-2c76-4a1f-ba71-073c0daf0efd",
  "date_created": "2026-03-02T18:01:07.660000Z",
  "date_modified": "2026-03-02T18:01:07.660000Z",
  "file_hash": "8c2d1907f7ed517d99f22493675823211165e768afc54299b74fe37e83b73a08",
  "private": false,
  "record": {
    "abstract": "The community structure and motif-modular-network hierarchy are of great\nimportance for understanding the relationship between structures and functions.\nIn this paper, we investigate the distribution of clique-degree, which is an\nextension of degree and can be used to measure the density of cliques in\nnetworks. The empirical studies indicate the extensive existence of power-law\nclique-degree distributions in various real networks, and the power-law\nexponent decreases with the increasing of clique size.",
    "arxiv_id": "physics/0602071",
    "authors": [
      "Wei-Ke Xiao",
      "Jie Ren",
      "Qi Feng",
      "Zhi-Wei Song",
      "Meng-Xiao Zhu",
      "Hong-Feng Yang",
      "Hui-Yu Jin",
      "Bing-Hong Wang",
      "Tao Zhou"
    ],
    "categories": [
      "physics.soc-ph"
    ],
    "doi": "10.1103/PhysRevE.76.037102",
    "journal_ref": "Phys. Rev. E 76, 037102 (2007)",
    "title": "Empirical study on clique-degree distribution of networks",
    "url": "https://arxiv.org/abs/physics/0602071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "67efd121-eaa3-4563-9f35-5f85ef581648",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}