{
  "annotation_id": "82b40d89-c415-43c8-8d42-c4c693f068a0",
  "date_created": "2026-03-02T18:01:18.541000Z",
  "date_modified": "2026-03-02T18:01:18.541000Z",
  "file_hash": "68d241571e4fb6314f7da6c822d1563737d3fb626060079978bf4df4b373a325",
  "private": false,
  "record": {
    "abstract": "We introduce and analyze a model of a multi-directed Eulerian network, that\nis a directed and weighted network where a path exists that passes through all\nthe edges of the network once and only once. Networks of this type can be used\nto describe information networks such as human language or DNA chains. We are\nable to calculate the strength and degree distribution in this network and find\nthat they both exhibit a power law with an exponent between 2 and 3. We then\nanalyze the behavior of the accelerated version of the model and find that the\nstrength distribution has a double slope power law behavior. Finally we\nintroduce a non-Eulerian version of the model and find that the statistical\ntopological properties remain unchanged. Our analytical results are compared\nwith numerical simulations.",
    "arxiv_id": "physics/0702097",
    "authors": [
      "A. P. Masucci",
      "G. J. Rodgers"
    ],
    "categories": [
      "physics.soc-ph",
      "cond-mat.dis-nn"
    ],
    "doi": "10.1016/j.physa.2007.07.021",
    "journal_ref": "Physica A vol.386, 557 (2007).",
    "title": "Multi-directed Eulerian growing networks",
    "url": "https://arxiv.org/abs/physics/0702097"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b34acf83-6233-4d71-a59e-65a1516d5acc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}