{
  "annotation_id": "58fdd63d-c992-4299-8889-ccd8f86c2b35",
  "date_created": "2026-03-02T18:01:00.205000Z",
  "date_modified": "2026-03-02T18:01:00.205000Z",
  "file_hash": "3e7682dc2bfb74434022fa86993d1a77e57c3103b28a4ab663e9ad018f509048",
  "private": false,
  "record": {
    "abstract": "We show analytically that abrupt structural transitions can arise in\nfunctionally optimal networks, driven by small changes in the level of\ntransport congestion. Our findings are based on an exactly solvable model\nsystem which mimics a variety of biological and social networks. Our results\noffer an explanation as to why such diverse sets of network structures arise in\nNature (e.g. fungi) under essentially the same environmental conditions. As a\nby-product of this work, we introduce a novel renormalization scheme involving\n`cost motifs\u0027 which describes analytically the average shortest path across\nmultiple-ring-and-hub networks.",
    "arxiv_id": "physics/0508228",
    "authors": [
      "Timothy C. Jarrett",
      "Douglas J. Ashton",
      "Mark Fricker",
      "Neil F. Johnson"
    ],
    "categories": [
      "physics.soc-ph",
      "cond-mat.other",
      "cond-mat.soft",
      "q-bio.OT"
    ],
    "title": "Abrupt structural transitions involving functionally optimal networks",
    "url": "https://arxiv.org/abs/physics/0508228"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "27a351ed-5d4f-4d67-a5d4-79a59d62d06a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}