"Turán graph" meaning in English

See Turán graph in All languages combined, or Wiktionary

Noun

Forms: Turán graphs [plural]
Etymology: Named after the Hungarian mathematician Pál Turán. Head templates: {{en-noun}} Turán graph (plural Turán graphs)
  1. (graph theory) A complete multipartite graph T(n,r) formed by partitioning a set of n vertices into r subsets, with sizes as equal as possible, and connecting two vertices by an edge if and only if they belong to different subsets. Wikipedia link: Pál Turán, Turán graph Categories (topical): Graph theory Hyponyms: cocktail party graph Related terms: Turán's theorem
    Sense id: en-Turán_graph-en-noun-yU~ZZQgA Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: graph-theory, mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after the Hungarian mathematician Pál Turán.",
  "forms": [
    {
      "form": "Turán graphs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Turán graph (plural Turán graphs)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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          "source": "w"
        },
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          "parents": [],
          "source": "w"
        },
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        },
        {
          "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 complete multipartite graph T(n,r) formed by partitioning a set of n vertices into r subsets, with sizes as equal as possible, and connecting two vertices by an edge if and only if they belong to different subsets."
      ],
      "hyponyms": [
        {
          "word": "cocktail party graph"
        }
      ],
      "id": "en-Turán_graph-en-noun-yU~ZZQgA",
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "complete",
          "complete"
        ],
        [
          "multipartite",
          "multipartite"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "partition",
          "partition"
        ],
        [
          "set",
          "set"
        ],
        [
          "vertices",
          "vertex"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "edge",
          "edge"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A complete multipartite graph T(n,r) formed by partitioning a set of n vertices into r subsets, with sizes as equal as possible, and connecting two vertices by an edge if and only if they belong to different subsets."
      ],
      "related": [
        {
          "word": "Turán's theorem"
        }
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Pál Turán",
        "Turán graph"
      ]
    }
  ],
  "word": "Turán graph"
}
{
  "etymology_text": "Named after the Hungarian mathematician Pál Turán.",
  "forms": [
    {
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      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Turán graph (plural Turán graphs)",
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    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Turán's theorem"
    }
  ],
  "senses": [
    {
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        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms spelled with Á",
        "English terms spelled with ◌́",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Graph theory"
      ],
      "glosses": [
        "A complete multipartite graph T(n,r) formed by partitioning a set of n vertices into r subsets, with sizes as equal as possible, and connecting two vertices by an edge if and only if they belong to different subsets."
      ],
      "links": [
        [
          "graph theory",
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        [
          "complete",
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        ],
        [
          "multipartite",
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        ],
        [
          "graph",
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        ],
        [
          "partition",
          "partition"
        ],
        [
          "set",
          "set"
        ],
        [
          "vertices",
          "vertex"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "edge",
          "edge"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A complete multipartite graph T(n,r) formed by partitioning a set of n vertices into r subsets, with sizes as equal as possible, and connecting two vertices by an edge if and only if they belong to different subsets."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Pál Turán",
        "Turán graph"
      ]
    }
  ],
  "word": "Turán graph"
}

Download raw JSONL data for Turán graph meaning in English (1.5kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.

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