"Keller graph" meaning in English

See Keller graph in All languages combined, or Wiktionary

Noun

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
    Sense id: en-Keller_graph-en-noun-krYBSuFd Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: geometry, mathematics, sciences

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."
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          "Keller's conjecture",
          "Keller's conjecture"
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          "vertices",
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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.",
  "forms": [
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      "form": "Keller graphs",
      "tags": [
        "plural"
      ]
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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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}

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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 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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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