"independence number" meaning in English

See independence number in All languages combined, or Wiktionary

Noun

Head templates: {{head|en|noun}} independence number
  1. (graph theory) the number of vertices in a maximum independent set of a given graph, often denoted as α=α(G) Categories (topical): Graph theory
    Sense id: en-independence_number-en-noun-10SuE2SZ Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 60 40 Topics: graph-theory, mathematics, sciences
  2. (set theory) the smallest cardinality of a maximal independent family of subsets of the natural numbers, usually denoted by lowercase Fraktur letter i Categories (topical): Set theory
    Sense id: en-independence_number-en-noun-p2wD1s5H Topics: mathematics, sciences, set-theory

Download JSON data for independence number meaning in English (1.8kB)

{
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "noun"
      },
      "expansion": "independence number",
      "name": "head"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "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"
        },
        {
          "_dis": "60 40",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "the number of vertices in a maximum independent set of a given graph, often denoted as α=α(G)"
      ],
      "id": "en-independence_number-en-noun-10SuE2SZ",
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "independent set",
          "independent set"
        ]
      ],
      "raw_glosses": [
        "(graph theory) the number of vertices in a maximum independent set of a given graph, often denoted as α=α(G)"
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "the smallest cardinality of a maximal independent family of subsets of the natural numbers, usually denoted by lowercase Fraktur letter i"
      ],
      "id": "en-independence_number-en-noun-p2wD1s5H",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "independent family",
          "independent family"
        ]
      ],
      "raw_glosses": [
        "(set theory) the smallest cardinality of a maximal independent family of subsets of the natural numbers, usually denoted by lowercase Fraktur letter i"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "word": "independence number"
}
{
  "categories": [
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns"
  ],
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "noun"
      },
      "expansion": "independence number",
      "name": "head"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Graph theory"
      ],
      "glosses": [
        "the number of vertices in a maximum independent set of a given graph, often denoted as α=α(G)"
      ],
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "independent set",
          "independent set"
        ]
      ],
      "raw_glosses": [
        "(graph theory) the number of vertices in a maximum independent set of a given graph, often denoted as α=α(G)"
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Set theory"
      ],
      "glosses": [
        "the smallest cardinality of a maximal independent family of subsets of the natural numbers, usually denoted by lowercase Fraktur letter i"
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "independent family",
          "independent family"
        ]
      ],
      "raw_glosses": [
        "(set theory) the smallest cardinality of a maximal independent family of subsets of the natural numbers, usually denoted by lowercase Fraktur letter i"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "word": "independence number"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.