{
  "annotation_id": "15303e9b-e8de-43fd-b70a-22f2d2e6d688",
  "date_created": "2026-03-02T18:01:17.243000Z",
  "date_modified": "2026-03-02T18:01:17.243000Z",
  "file_hash": "7e2ab2df25357f2fc09fe4130dcc4366214e213020915a79a2622ca1001ae9dc",
  "private": false,
  "record": {
    "abstract": "The so-called rich-club phenomenon in a complex network is characterized when\nnodes of higher degree (hubs) are better connected among themselves than are\nnodes with smaller degree. The presence of the rich-club phenomenon may be an\nindicator of several interesting high-level network properties, such as\ntolerance to hub failures. Here we investigate the existence of the rich-club\nphenomenon across the hierarchical degrees of a number of real-world networks.\nOur simulations reveal that the phenomenon may appear in some hierarchies but\nnot in others and, moreover, that it may appear and disappear as we move across\nhierarchies. This reveals the interesting possibility of non-monotonic behavior\nof the phenomenon; the possible implications of our findings are discussed.",
    "arxiv_id": "physics/0701290",
    "authors": [
      "Julian J. McAuley",
      "Luciano da Fontoura Costa",
      "Tiberio S. Caetano"
    ],
    "categories": [
      "physics.soc-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1063/1.2773951",
    "title": "The rich-club phenomenon across complex network hierarchies",
    "url": "https://arxiv.org/abs/physics/0701290"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "938fa04f-f30d-4aa4-b192-c1c028de7c45",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}