"dominating set" meaning in English

{
  "forms": [
    {
      "form": "dominating sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "dominating set (plural dominating sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Graph theory",
          "orig": "en:Graph theory",
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          "source": "w"
        }
      ],
      "glosses": [
        "A set of vertices of a graph, such that each vertex in that graph is either in that set or adjacent to a vertex in that set."
      ],
      "id": "en-dominating_set-en-noun-RTHO8ogb",
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "vertices",
          "vertex"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "adjacent",
          "adjacent"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A set of vertices of a graph, such that each vertex in that graph is either in that set or adjacent to a vertex in that set."
      ],
      "related": [
        {
          "word": "domination number"
        }
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "dominating set"
}

{
  "forms": [
    {
      "form": "dominating sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
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      "expansion": "dominating set (plural dominating sets)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "domination number"
    }
  ],
  "senses": [
    {
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        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
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        "en:Graph theory"
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      "glosses": [
        "A set of vertices of a graph, such that each vertex in that graph is either in that set or adjacent to a vertex in that set."
      ],
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "vertices",
          "vertex"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "adjacent",
          "adjacent"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A set of vertices of a graph, such that each vertex in that graph is either in that set or adjacent to a vertex in that set."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "dominating set"
}