{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "01T3TMGTTE"
    },
    {
      "field": "uses",
      "target": "1BXEJXQ2YT"
    },
    {
      "field": "uses",
      "target": "2TGPZ8VW2D"
    },
    {
      "field": "uses",
      "target": "3BZAPDBPC8"
    },
    {
      "field": "uses",
      "target": "3JGEQYCF6S"
    },
    {
      "field": "uses",
      "target": "4E4RXKV9W3"
    },
    {
      "field": "uses",
      "target": "4K9RYSNPG3"
    },
    {
      "field": "uses",
      "target": "6YDMMN6M9R"
    },
    {
      "field": "uses",
      "target": "759C4C6NXZ"
    },
    {
      "field": "uses",
      "target": "822WQ7S91T"
    },
    {
      "field": "uses",
      "target": "9GNAAHQJY6"
    },
    {
      "field": "uses",
      "target": "A2WHCVP6JN"
    },
    {
      "field": "uses",
      "target": "B7PZV00FP4"
    },
    {
      "field": "uses",
      "target": "BW9BBF244W"
    },
    {
      "field": "uses",
      "target": "C34RZMKKA4"
    },
    {
      "field": "uses",
      "target": "CJDS1BGDVH"
    },
    {
      "field": "uses",
      "target": "CZCANZNKPJ"
    },
    {
      "field": "uses",
      "target": "DT5PH9QVQ7"
    },
    {
      "field": "uses",
      "target": "E2K0MM2MQQ"
    },
    {
      "field": "uses",
      "target": "ENH9EP5ZH5"
    },
    {
      "field": "uses",
      "target": "EYG946BY5G"
    },
    {
      "field": "uses",
      "target": "FWQCZGXHWQ"
    },
    {
      "field": "uses",
      "target": "GAW3VCFYZV"
    },
    {
      "field": "uses",
      "target": "HJ2QSEMHMC"
    },
    {
      "field": "uses",
      "target": "J5VXNMFVZB"
    },
    {
      "field": "uses",
      "target": "JPQM16D84G"
    },
    {
      "field": "uses",
      "target": "M3M3EFWBEX"
    },
    {
      "field": "uses",
      "target": "MRBRH9CH7E"
    },
    {
      "field": "uses",
      "target": "N3Z69FTQ7J"
    },
    {
      "field": "uses",
      "target": "P52TCSHP7R"
    },
    {
      "field": "uses",
      "target": "SAR7PBYF07"
    },
    {
      "field": "uses",
      "target": "V3N4HX0GRP"
    },
    {
      "field": "uses",
      "target": "X117TDBR51"
    },
    {
      "field": "uses",
      "target": "Y98MD3WVTG"
    },
    {
      "field": "uses",
      "target": "YENN31BFZA"
    },
    {
      "field": "uses",
      "target": "Z0K8AXW8Z1"
    },
    {
      "field": "uses",
      "target": "ZEH0N3N467"
    }
  ],
  "body": "\n## Summary\n\nThe neighbourhood of a vertex in a graph is the set of vertices adjacent to it. Many local properties of graphs, such as degrees, are defined through neighbourhoods. The node [[neighbourhood|01T3TMGTTE]] gives the precise definition.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "kind": "concept",
    "msc": [
      "05C07"
    ],
    "name": "Neighbourhood",
    "same_as": {
      "wikidata": "Q1354987",
      "wikipedia": "Neighbourhood (graph theory)"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Neighbourhood_(graph_theory)"
      }
    ],
    "tag": "0ZCY0Z80B6"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0ZCY0Z80B6/",
  "links": null,
  "markdown": "https://tamnd.github.io/math2/node/0ZCY0Z80B6.md",
  "msc": [
    "05C07"
  ],
  "name": "Neighbourhood",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0ZC/0ZCY0Z80B6.md",
  "status": null,
  "tag": "0ZCY0Z80B6",
  "uri": "m2://0ZCY0Z80B6",
  "url": "https://tamnd.github.io/math2/wiki/neighbourhood/",
  "writing": {
    "tag": "0ZCY0Z80B6",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}