{
  "aliases": [
    "ws-model",
    "watts-and-strogatz-model",
    "watts-beta-model"
  ],
  "backlinks": null,
  "body": "\n## Summary\n\nThe **Watts–Strogatz model** is a random graph generation model that produces graphs with small-world properties, including short average path lengths and high clustering. It was proposed by Duncan J. Watts and Steven Strogatz in their article published in 1998 in the *Nature* scientific journal. The model also became known as the **(Watts) *beta* model** after Watts used $\\beta$ to formulate it in his popular science book *Six Degrees*.\n",
  "commit": "68a8c3dc73fd55004b2796431c607c30960d1a85",
  "front": {
    "aliases": [
      "ws-model",
      "watts-and-strogatz-model",
      "watts-beta-model"
    ],
    "inventory": [
      "JP9D9P88F8"
    ],
    "kind": "concept",
    "name": "Watts–Strogatz model",
    "same_as": {
      "wikidata": "Q5837129",
      "wikipedia": "Watts–Strogatz model"
    },
    "sources": [
      {
        "locator": "Watts–Strogatz model",
        "mention": "wikipedia://en/8337525",
        "note": "adopted",
        "sections": [
          "Summary"
        ],
        "wikipedia": "en:8337525@r1315077098"
      }
    ],
    "tag": "A2VKYQDXQ6"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/A2VKYQDXQ6/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/A2VKYQDXQ6.md",
  "msc": null,
  "name": "Watts–Strogatz model",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/A2V/A2VKYQDXQ6.md",
  "status": null,
  "tag": "A2VKYQDXQ6",
  "uri": "m2://A2VKYQDXQ6",
  "url": "https://math2.tamnd.com/wiki/watts-strogatz-model/",
  "writing": {
    "tag": "A2VKYQDXQ6",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge defines in",
        "note": "at least one definition",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge specializes both",
        "note": "the more general notions and the special cases",
        "have": 0,
        "want": 1
      }
    ]
  }
}
