"cograph" meaning in All languages combined

See cograph on Wiktionary

Noun [English]

Forms: cographs [plural]
Etymology: co- + graph Etymology templates: {{prefix|en|co|graph}} co- + graph Head templates: {{en-noun}} cograph (plural cographs)
  1. (mathematics) A graph formed from another by complementation and disjoin union. Categories (topical): Mathematics
    Sense id: en-cograph-en-noun-MYIkCaT~ Categories (other): English entries with incorrect language header, English terms prefixed with co- Disambiguation of English entries with incorrect language header: 59 41 Disambiguation of English terms prefixed with co-: 57 43 Topics: mathematics, sciences
  2. (mathematics) The dual of the graph of a function. It is an ordinate-indexed partition of the disjoint union of the set of abscissas and ordinates of the function. Categories (topical): Mathematics
    Sense id: en-cograph-en-noun-s1~lvfKa Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Derived forms: cographic

Inflected forms

Download JSON data for cograph meaning in All languages combined (2.5kB)

{
  "derived": [
    {
      "_dis1": "0 0",
      "word": "cographic"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "graph"
      },
      "expansion": "co- + graph",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + graph",
  "forms": [
    {
      "form": "cographs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cograph (plural cographs)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "59 41",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "57 43",
          "kind": "other",
          "name": "English terms prefixed with co-",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A graph formed from another by complementation and disjoin union."
      ],
      "id": "en-cograph-en-noun-MYIkCaT~",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "complementation",
          "complementation"
        ],
        [
          "disjoin",
          "disjoin"
        ],
        [
          "union",
          "union"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A graph formed from another by complementation and disjoin union."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Given a function whose graph is (1,7),(2,5),(3,3),(4,3),(5,2),(6,4),(7,6),(8,5),(9,7),(10,6),(11,6), append an apostrophe to the abscissas so that they will not be confused with ordinates when obtaining their disjoint union, which is: 2,3,4,5,6,7,1',2',3',4',5',6',7',8',9',10',11'. The cograph then is 7,1',9',6,7',10',11',5,2',8',4,6',3,3',4',2,5'."
        }
      ],
      "glosses": [
        "The dual of the graph of a function. It is an ordinate-indexed partition of the disjoint union of the set of abscissas and ordinates of the function."
      ],
      "id": "en-cograph-en-noun-s1~lvfKa",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "ordinate",
          "ordinate"
        ],
        [
          "partition",
          "partition"
        ],
        [
          "disjoint union",
          "disjoint union"
        ],
        [
          "abscissa",
          "abscissa"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The dual of the graph of a function. It is an ordinate-indexed partition of the disjoint union of the set of abscissas and ordinates of the function."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "cograph"
  ],
  "word": "cograph"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with co-"
  ],
  "derived": [
    {
      "word": "cographic"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "graph"
      },
      "expansion": "co- + graph",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + graph",
  "forms": [
    {
      "form": "cographs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cograph (plural cographs)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "A graph formed from another by complementation and disjoin union."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "complementation",
          "complementation"
        ],
        [
          "disjoin",
          "disjoin"
        ],
        [
          "union",
          "union"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A graph formed from another by complementation and disjoin union."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "Given a function whose graph is (1,7),(2,5),(3,3),(4,3),(5,2),(6,4),(7,6),(8,5),(9,7),(10,6),(11,6), append an apostrophe to the abscissas so that they will not be confused with ordinates when obtaining their disjoint union, which is: 2,3,4,5,6,7,1',2',3',4',5',6',7',8',9',10',11'. The cograph then is 7,1',9',6,7',10',11',5,2',8',4,6',3,3',4',2,5'."
        }
      ],
      "glosses": [
        "The dual of the graph of a function. It is an ordinate-indexed partition of the disjoint union of the set of abscissas and ordinates of the function."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "ordinate",
          "ordinate"
        ],
        [
          "partition",
          "partition"
        ],
        [
          "disjoint union",
          "disjoint union"
        ],
        [
          "abscissa",
          "abscissa"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The dual of the graph of a function. It is an ordinate-indexed partition of the disjoint union of the set of abscissas and ordinates of the function."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "cograph"
  ],
  "word": "cograph"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 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.