{
  "annotation_id": "826b9700-810a-47b9-a118-33392fcc969a",
  "date_created": "2026-03-02T18:01:07.969000Z",
  "date_modified": "2026-03-02T18:01:07.969000Z",
  "file_hash": "38399cfdf45ef5175e6811384aaa4964207608022a1234be34aead9f3477279c",
  "private": false,
  "record": {
    "abstract": "How do social networks evolve when both friendly and unfriendly relations\nexist? Here we propose a simple dynamics for social networks in which the sense\nof a relationship can change so as to eliminate imbalanced triads--relationship\ntriangles that contains 1 or 3 unfriendly links. In this dynamics, a friendly\nlink changes to unfriendly or vice versa in an imbalanced triad to make the\ntriad balanced. Such networks undergo a dynamic phase transition from a steady\nstate to \"utopia\"--all friendly links--as the amount of network friendliness is\nchanged. Basic features of the long-time dynamics and the phase transition are\ndiscussed.",
    "arxiv_id": "physics/0605183",
    "authors": [
      "T. Antal",
      "P. L. Krapivsky",
      "S. Redner"
    ],
    "categories": [
      "physics.gen-ph",
      "physics.soc-ph"
    ],
    "doi": "10.1016/j.physd.2006.09.028",
    "journal_ref": "Physica D 224, 130 (2006)",
    "title": "Social Balance on Networks: The Dynamics of Friendship and Enmity",
    "url": "https://arxiv.org/abs/physics/0605183"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "edcb94fe-ac7f-4e58-a1fb-4506fb3b2a48",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}