"independent set" meaning in English

{
  "antonyms": [
    {
      "word": "clique"
    }
  ],
  "forms": [
    {
      "form": "independent sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "independent set (plural independent 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",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Graph theory",
          "orig": "en:Graph theory",
          "parents": [
            "Mathematics",
            "Visualization",
            "Formal sciences",
            "Computing",
            "Interdisciplinary fields",
            "Sciences",
            "Technology",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "independence number"
        }
      ],
      "glosses": [
        "a set of vertices of a graph, such that no pair of them are adjacent to each other; in other words, a set of vertices which are all \"independent\" of each other"
      ],
      "id": "en-independent_set-en-noun-I6ZrgA5N",
      "links": [
        [
          "graph theory",
          "graph theory"
        ]
      ],
      "raw_glosses": [
        "(graph theory) a set of vertices of a graph, such that no pair of them are adjacent to each other; in other words, a set of vertices which are all \"independent\" of each other"
      ],
      "synonyms": [
        {
          "word": "coclique"
        }
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "independent set"
      ]
    }
  ],
  "word": "independent set"
}

{
  "antonyms": [
    {
      "word": "clique"
    }
  ],
  "derived": [
    {
      "word": "independence number"
    }
  ],
  "forms": [
    {
      "form": "independent sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "independent set (plural independent sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Graph theory"
      ],
      "glosses": [
        "a set of vertices of a graph, such that no pair of them are adjacent to each other; in other words, a set of vertices which are all \"independent\" of each other"
      ],
      "links": [
        [
          "graph theory",
          "graph theory"
        ]
      ],
      "raw_glosses": [
        "(graph theory) a set of vertices of a graph, such that no pair of them are adjacent to each other; in other words, a set of vertices which are all \"independent\" of each other"
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "independent set"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "coclique"
    }
  ],
  "word": "independent set"
}