"Keller graph" meaning in All languages combined

See Keller graph on Wiktionary

Noun [English]

Forms: Keller graphs [plural]
Etymology: Named after Ott-Heinrich Keller. Head templates: {{en-noun}} Keller graph (plural Keller graphs)
  1. (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. Categories (topical): Geometry

Inflected forms

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  "etymology_text": "Named after Ott-Heinrich Keller.",
  "forms": [
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            "Formal sciences",
            "Sciences",
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      "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",
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          "Keller's conjecture",
          "Keller's conjecture"
        ],
        [
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        [
          "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."
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{
  "etymology_text": "Named after Ott-Heinrich Keller.",
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        "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."
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        "(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."
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        "mathematics",
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  "word": "Keller graph"
}

Download raw JSONL data for Keller graph meaning in All languages combined (1.6kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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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