See Turán's theorem in All languages combined, or Wiktionary
{ "etymology_text": "Named after the Hungarian mathematician Pál Turán.", "head_templates": [ { "args": {}, "expansion": "Turán's theorem", "name": "en-proper noun" } ], "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 theorem stating that, among the n-vertex simple graphs with no (r + 1)-cliques, T(n, r) has the maximum number of edges." ], "id": "en-Turán's_theorem-en-name-df6~oHu5", "links": [ [ "graph theory", "graph theory" ], [ "vertex", "vertex" ], [ "clique", "clique" ], [ "maximum", "maximum" ], [ "edge", "edge" ] ], "raw_glosses": [ "(graph theory) A theorem stating that, among the n-vertex simple graphs with no (r + 1)-cliques, T(n, r) has the maximum number of edges." ], "related": [ { "word": "Turán graph" } ], "topics": [ "graph-theory", "mathematics", "sciences" ], "wikipedia": [ "Pál Turán", "Turán's theorem" ] } ], "word": "Turán's theorem" }
{ "etymology_text": "Named after the Hungarian mathematician Pál Turán.", "head_templates": [ { "args": {}, "expansion": "Turán's theorem", "name": "en-proper noun" } ], "lang": "English", "lang_code": "en", "pos": "name", "related": [ { "word": "Turán graph" } ], "senses": [ { "categories": [ "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English proper nouns", "English terms spelled with Á", "English terms spelled with ◌́", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Graph theory" ], "glosses": [ "A theorem stating that, among the n-vertex simple graphs with no (r + 1)-cliques, T(n, r) has the maximum number of edges." ], "links": [ [ "graph theory", "graph theory" ], [ "vertex", "vertex" ], [ "clique", "clique" ], [ "maximum", "maximum" ], [ "edge", "edge" ] ], "raw_glosses": [ "(graph theory) A theorem stating that, among the n-vertex simple graphs with no (r + 1)-cliques, T(n, r) has the maximum number of edges." ], "topics": [ "graph-theory", "mathematics", "sciences" ], "wikipedia": [ "Pál Turán", "Turán's theorem" ] } ], "word": "Turán's theorem" }
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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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