{
  "annotation_id": "13bbe56d-ee47-41a6-aa5b-b8bce06565a1",
  "date_created": "2026-03-02T18:01:18.541000Z",
  "date_modified": "2026-03-02T18:01:18.541000Z",
  "file_hash": "7d0875483e2c5355f740a5d8ee6f9198deff29eef2c7a42b1040dba13e4a44c8",
  "private": false,
  "record": {
    "abstract": "We present a link rewiring mechanism to produce surrogates of a network where\nboth the degree distribution and the rich--club connectivity are preserved. We\nconsider three real networks, the AS--Internet, the protein interaction and the\nscientific collaboration. We show that for a given degree distribution, the\nrich--club connectivity is sensitive to the degree--degree correlation, and on\nthe other hand the degree--degree correlation is constrained by the rich--club\nconnectivity. In particular, in the case of the Internet, the assortative\ncoefficient is always negative and a minor change in its value can reverse the\nnetwork\u0027s rich--club structure completely; while fixing the degree distribution\nand the rich--club connectivity restricts the assortative coefficient to such a\nnarrow range, that a reasonable model of the Internet can be produced by\nconsidering mainly the degree distribution and the rich--club connectivity. We\nalso comment on the suitability of using the maximal random network as a null\nmodel to assess the rich--club connectivity in real networks.",
    "arxiv_id": "physics/0702096",
    "authors": [
      "Shi Zhou",
      "Raul J. Mondragon"
    ],
    "categories": [
      "physics.soc-ph"
    ],
    "doi": "10.1088/1367-2630/9/6/173",
    "title": "Structural constraints in complex networks",
    "url": "https://arxiv.org/abs/physics/0702096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9d3f94f9-83a4-4f40-b01f-9fb641def962",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}