{
  "annotation_id": "899e8aea-aa88-4fac-a626-69cf69a11723",
  "date_created": "2026-03-02T18:01:18.384000Z",
  "date_modified": "2026-03-02T18:01:18.384000Z",
  "file_hash": "b73fb99d0549e989029c45b0bfbaffd1b15bb5c4029c3f3f98ced672eed730f1",
  "private": false,
  "record": {
    "abstract": "We consider the random Erd{\\H o}s--R\\\u0027enyi network with enhanced\nclusterization and Ising spins $s=\\pm 1$ at the network nodes. Mutually linked\nspins interact with energy $J$. Magnetic properties of the system as dependent\non the clustering coefficient $C$ are investigated with the Monte Carlo heat\nbath algorithm. For $J\u003e0$ the Curie temperature $T_c$ increases from 3.9 to 5.5\nwhen $C$ increases from almost zero to 0.18. These results deviate only\nslightly from the mean field theory. For $J\u003c0$ the spin-glass phase appears\nbelow $T_{SG}$; this temperature decreases with $C$, on the contrary to the\nmean field calculations. The results are interpreted in terms of social\nsystems.",
    "arxiv_id": "physics/0701177",
    "authors": [
      "Anna Manka",
      "Krzysztof Malarz",
      "Krzysztof Kulakowski"
    ],
    "categories": [
      "physics.soc-ph",
      "physics.comp-ph"
    ],
    "doi": "10.1142/S0129183107011728",
    "journal_ref": "Int. J. Mod. Phys. C 18 (2007) 1765",
    "title": "Clusterization, frustration and collectivity in random networks",
    "url": "https://arxiv.org/abs/physics/0701177"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c72c3e4c-eedd-439f-a960-6e18d4345141",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}