{
  "annotation_id": "3b32e400-83f1-466d-86b7-2e85d5a4af86",
  "date_created": "2026-03-02T18:01:10.861000Z",
  "date_modified": "2026-03-02T18:01:10.861000Z",
  "file_hash": "d22c5b695b25aa22f261d2f7522948e2525c5612d76bb11755d4d1df070ff85c",
  "private": false,
  "record": {
    "abstract": "We address the problem of understanding the variable abundance of 3-node and\n4-node subgraphs (motifs) in complex networks from a dynamical point of view.\nAs a criterion in the determination of the functional significance of a n-node\nsubgraph, we propose an analytic method to measure the stability of the\nsynchronous state (SSS) the subgraph displays. We show that, for undirected\ngraphs, the SSS is correlated with the relative abundance, while in directed\ngraphs the correlation exists only for some specific motifs.",
    "arxiv_id": "physics/0609126",
    "authors": [
      "Ivano Lodato",
      "Stefano Boccaletti",
      "Vito Latora"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio.MN"
    ],
    "doi": "10.1209/0295-5075/78/28001",
    "journal_ref": "Europhys. Lett. 78 (2007)28001",
    "title": "Synchronization Properties of Network Motifs",
    "url": "https://arxiv.org/abs/physics/0609126"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "81bdf155-bc43-4821-8260-8b7088cf4ad6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}