{
  "annotation_id": "7751c0fa-ce4c-426b-85d2-59dea525f2aa",
  "date_created": "2026-03-02T18:00:57.386000Z",
  "date_modified": "2026-03-02T18:00:57.386000Z",
  "file_hash": "e053f75253452a0c6e0e7b2ed00c6565e541331c551b514403844230182f2351",
  "private": false,
  "record": {
    "abstract": "We propose a cyclic coefficient $R$ which represents the cyclic\ncharacteristics of complex networks. If the network forms a perfect tree-like\nstructure then $R$ becomes zero. The larger value of $R$ represents that the\nnetwork is more cyclic. We measure the cyclic coefficients and the\ndistributions of the local cyclic coefficient for both various real networks\nand the representative network models and characterize the cyclic structures of\nthem.",
    "arxiv_id": "physics/0503168",
    "authors": [
      "Hyun-Joo Kim",
      "Jin Min Kim"
    ],
    "categories": [
      "physics.soc-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevE.72.036109",
    "title": "Cyclic Topology in Complex Networks",
    "url": "https://arxiv.org/abs/physics/0503168"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4f486372-a7c9-4e92-bf12-fca31cf1b358",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}