"Heawood conjecture" meaning in All languages combined

See Heawood conjecture on Wiktionary

Proper name [English]

Forms: the Heawood conjecture [canonical]
Etymology: Formulated in 1890 by Percy John Heawood. Head templates: {{en-prop|def=1}} the Heawood conjecture
  1. (graph theory) A conjecture (proven in 1968) that gives a lower bound for the number of colors that are necessary for graph coloring on a surface of a given genus. Categories (topical): Graph theory Related terms: Heawood number, Ringel-Youngs theorem
    Sense id: en-Heawood_conjecture-en-name-R2fzIVGd Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: graph-theory, mathematics, sciences
{
  "etymology_text": "Formulated in 1890 by Percy John Heawood.",
  "forms": [
    {
      "form": "the Heawood conjecture",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Heawood conjecture",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "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"
        }
      ],
      "glosses": [
        "A conjecture (proven in 1968) that gives a lower bound for the number of colors that are necessary for graph coloring on a surface of a given genus."
      ],
      "id": "en-Heawood_conjecture-en-name-R2fzIVGd",
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "surface",
          "surface"
        ],
        [
          "genus",
          "genus"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A conjecture (proven in 1968) that gives a lower bound for the number of colors that are necessary for graph coloring on a surface of a given genus."
      ],
      "related": [
        {
          "word": "Heawood number"
        },
        {
          "word": "Ringel-Youngs theorem"
        }
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Heawood conjecture"
}
{
  "etymology_text": "Formulated in 1890 by Percy John Heawood.",
  "forms": [
    {
      "form": "the Heawood conjecture",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Heawood conjecture",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Heawood number"
    },
    {
      "word": "Ringel-Youngs theorem"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Graph theory"
      ],
      "glosses": [
        "A conjecture (proven in 1968) that gives a lower bound for the number of colors that are necessary for graph coloring on a surface of a given genus."
      ],
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "surface",
          "surface"
        ],
        [
          "genus",
          "genus"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A conjecture (proven in 1968) that gives a lower bound for the number of colors that are necessary for graph coloring on a surface of a given genus."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Heawood conjecture"
}

Download raw JSONL data for Heawood conjecture meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.