See Keller graph on Wiktionary
{ "etymology_text": "Named after Ott-Heinrich Keller.", "forms": [ { "form": "Keller graphs", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Keller graph (plural Keller graphs)", "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": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Geometry", "orig": "en:Geometry", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "Any of a certain family of graphs related to Keller's conjecture, such that the vertices of the Keller graph of dimension n are the 4ⁿ elements (m₁,...,mₙ) where each m is 0, 1, 2, or 3, and two vertices are joined by an edge if they differ in at least two coordinates and differ by exactly two in at least one coordinate." ], "id": "en-Keller_graph-en-noun-krYBSuFd", "links": [ [ "geometry", "geometry" ], [ "family", "family" ], [ "graph", "graph" ], [ "Keller's conjecture", "Keller's conjecture" ], [ "vertices", "vertex" ], [ "element", "element" ], [ "edge", "edge" ] ], "raw_glosses": [ "(geometry) Any of a certain family of graphs related to Keller's conjecture, such that the vertices of the Keller graph of dimension n are the 4ⁿ elements (m₁,...,mₙ) where each m is 0, 1, 2, or 3, and two vertices are joined by an edge if they differ in at least two coordinates and differ by exactly two in at least one coordinate." ], "topics": [ "geometry", "mathematics", "sciences" ] } ], "word": "Keller graph" }
{ "etymology_text": "Named after Ott-Heinrich Keller.", "forms": [ { "form": "Keller graphs", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Keller graph (plural Keller graphs)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Geometry" ], "glosses": [ "Any of a certain family of graphs related to Keller's conjecture, such that the vertices of the Keller graph of dimension n are the 4ⁿ elements (m₁,...,mₙ) where each m is 0, 1, 2, or 3, and two vertices are joined by an edge if they differ in at least two coordinates and differ by exactly two in at least one coordinate." ], "links": [ [ "geometry", "geometry" ], [ "family", "family" ], [ "graph", "graph" ], [ "Keller's conjecture", "Keller's conjecture" ], [ "vertices", "vertex" ], [ "element", "element" ], [ "edge", "edge" ] ], "raw_glosses": [ "(geometry) Any of a certain family of graphs related to Keller's conjecture, such that the vertices of the Keller graph of dimension n are the 4ⁿ elements (m₁,...,mₙ) where each m is 0, 1, 2, or 3, and two vertices are joined by an edge if they differ in at least two coordinates and differ by exactly two in at least one coordinate." ], "topics": [ "geometry", "mathematics", "sciences" ] } ], "word": "Keller graph" }
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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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