See subhypergraph in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "sub", "3": "hypergraph" }, "expansion": "sub- + hypergraph", "name": "prefix" } ], "etymology_text": "From sub- + hypergraph.", "forms": [ { "form": "subhypergraphs", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "subhypergraph (plural subhypergraphs)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "English terms prefixed with sub-", "parents": [], "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": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "2016, Reza Jafarpour-Golzari, “A generalization of hall's theorem for k-uniform k-partite hypergraphs”, in arXiv:", "text": "More precisely, let H be a k-uniform k- partite hypergraph with some ordering on parts as V1, V2,..., Vk. such that the subhypergraph generated on union of V1, V2,..., Vk-1 has a unique perfect matching.", "type": "quote" }, { "ref": "2016, Meysam Alishahi, “Colorful Subhypergraphs in Uniform Hypergraphs”, in arXiv:", "text": "Next, Meunier [Colorful subhypergraphs in Kneser hypergraphs, The Electronic Journal of Combinatorics, 2014] improved their result by proving that any properly colored general Kneser hypergraph #x7B;#x5C;rmKG#x7D;ʳ(#x7B;#x5C;mathcalH#x7D;) contains a large colorful r-partite subhypergraph provided that r is prime.", "type": "quote" } ], "glosses": [ "A subset of a hypergraph" ], "id": "en-subhypergraph-en-noun-xYAToVzy", "links": [ [ "mathematics", "mathematics" ], [ "subset", "subset" ], [ "hypergraph", "hypergraph" ] ], "raw_glosses": [ "(mathematics) A subset of a hypergraph" ], "topics": [ "mathematics", "sciences" ] } ], "word": "subhypergraph" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "sub", "3": "hypergraph" }, "expansion": "sub- + hypergraph", "name": "prefix" } ], "etymology_text": "From sub- + hypergraph.", "forms": [ { "form": "subhypergraphs", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "subhypergraph (plural subhypergraphs)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms prefixed with sub-", "English terms with quotations", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "examples": [ { "ref": "2016, Reza Jafarpour-Golzari, “A generalization of hall's theorem for k-uniform k-partite hypergraphs”, in arXiv:", "text": "More precisely, let H be a k-uniform k- partite hypergraph with some ordering on parts as V1, V2,..., Vk. such that the subhypergraph generated on union of V1, V2,..., Vk-1 has a unique perfect matching.", "type": "quote" }, { "ref": "2016, Meysam Alishahi, “Colorful Subhypergraphs in Uniform Hypergraphs”, in arXiv:", "text": "Next, Meunier [Colorful subhypergraphs in Kneser hypergraphs, The Electronic Journal of Combinatorics, 2014] improved their result by proving that any properly colored general Kneser hypergraph #x7B;#x5C;rmKG#x7D;ʳ(#x7B;#x5C;mathcalH#x7D;) contains a large colorful r-partite subhypergraph provided that r is prime.", "type": "quote" } ], "glosses": [ "A subset of a hypergraph" ], "links": [ [ "mathematics", "mathematics" ], [ "subset", "subset" ], [ "hypergraph", "hypergraph" ] ], "raw_glosses": [ "(mathematics) A subset of a hypergraph" ], "topics": [ "mathematics", "sciences" ] } ], "word": "subhypergraph" }
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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 2024-12-08 from the enwiktionary dump dated 2024-12-04 using wiktextract (bb46d54 and 0c3c9f6). 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.