"dominating set" meaning in All languages combined

See dominating set on Wiktionary

Noun [English]

Forms: dominating sets [plural]
Head templates: {{en-noun}} dominating set (plural dominating sets)
  1. (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. Categories (topical): Graph theory Related terms: domination number
    Sense id: en-dominating_set-en-noun-RTHO8ogb Categories (other): English entries with incorrect language header Topics: graph-theory, mathematics, sciences

Inflected forms

Download JSON data for dominating set meaning in All languages combined (1.2kB)

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  "forms": [
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      "expansion": "dominating set (plural dominating sets)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Graph theory",
          "orig": "en:Graph theory",
          "parents": [
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            "Visualization",
            "Formal sciences",
            "Computing",
            "Interdisciplinary fields",
            "Sciences",
            "Technology",
            "All topics",
            "Fundamental"
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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",
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      ]
    }
  ],
  "word": "dominating set"
}
{
  "forms": [
    {
      "form": "dominating sets",
      "tags": [
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      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "dominating set (plural dominating sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "domination number"
    }
  ],
  "senses": [
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      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
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        "English nouns",
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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."
      ],
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        ],
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        ],
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        ],
        [
          "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"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-15 from the enwiktionary dump dated 2024-05-02 using wiktextract (8203a16 and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.