{
  "annotation_id": "72908da1-e570-43ef-91e5-3dacc2bdde37",
  "date_created": "2026-03-02T18:00:56.992000Z",
  "date_modified": "2026-03-02T18:00:56.992000Z",
  "file_hash": "39d1d2d778818aab4d2aa4aeaf818fb0386a961f22a03c52398e2d125c3ce60f",
  "private": false,
  "record": {
    "abstract": "Motivated by the empirical analysis of the air transportation system, we\ndefine a network model that includes geographical attributes along with\ntopological and weight (traffic) properties. The introduction of geographical\nattributes is made by constraining the network in real space. Interestingly,\nthe inclusion of geometrical features induces non-trivial correlations between\nthe weights, the connectivity pattern and the actual spatial distances of\nvertices. The model also recovers the emergence of anomalous fluctuations in\nthe betweenness-degree correlation function as first observed by Guimer\\`a and\nAmaral [Eur. Phys. J. B {\\bf 38}, 381 (2004)]. The presented results suggest\nthat the interplay between weight dynamics and spatial constraints is a key\ningredient in order to understand the formation of real-world weighted\nnetworks.",
    "arxiv_id": "physics/0504029",
    "authors": [
      "Alain Barrat",
      "Marc Barthelemy",
      "Alessandro Vespignani"
    ],
    "categories": [
      "physics.soc-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1088/1742-5468/2005/05/P05003",
    "journal_ref": "J. Stat. Mech. (2005) P05003",
    "title": "The effects of spatial constraints on the evolution of weighted complex   networks",
    "url": "https://arxiv.org/abs/physics/0504029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a5073278-a71b-482e-a656-d8711da73dbb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}