"Kneser graph" meaning in English

See Kneser graph in All languages combined, or Wiktionary

Noun

Forms: Kneser graphs [plural]
Etymology: Named after Martin Kneser, who first investigated them in 1956. Head templates: {{en-noun}} Kneser graph (plural Kneser graphs)
  1. (graph theory) A graph K(n, k) (alternatively KG_(n,k)), whose vertices correspond to the k-element subsets of a set of n elements, and where two vertices are adjacent iff the two corresponding sets are disjoint. Categories (topical): Graph theory
    Sense id: en-Kneser_graph-en-noun-mqRI7VfL Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: graph-theory, mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after Martin Kneser, who first investigated them in 1956.",
  "forms": [
    {
      "form": "Kneser graphs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Kneser graph (plural Kneser 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": "Graph theory",
          "orig": "en:Graph theory",
          "parents": [
            "Mathematics",
            "Visualization",
            "Formal sciences",
            "Computing",
            "Interdisciplinary fields",
            "Sciences",
            "Technology",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A graph K(n, k) (alternatively KG_(n,k)), whose vertices correspond to the k-element subsets of a set of n elements, and where two vertices are adjacent iff the two corresponding sets are disjoint."
      ],
      "id": "en-Kneser_graph-en-noun-mqRI7VfL",
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "vertices",
          "vertex"
        ],
        [
          "element",
          "element"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "set",
          "set"
        ],
        [
          "adjacent",
          "adjacent"
        ],
        [
          "iff",
          "iff"
        ],
        [
          "disjoint",
          "disjoint"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A graph K(n, k) (alternatively KG_(n,k)), whose vertices correspond to the k-element subsets of a set of n elements, and where two vertices are adjacent iff the two corresponding sets are disjoint."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Kneser graph"
}
{
  "etymology_text": "Named after Martin Kneser, who first investigated them in 1956.",
  "forms": [
    {
      "form": "Kneser graphs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Kneser graph (plural Kneser 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:Graph theory"
      ],
      "glosses": [
        "A graph K(n, k) (alternatively KG_(n,k)), whose vertices correspond to the k-element subsets of a set of n elements, and where two vertices are adjacent iff the two corresponding sets are disjoint."
      ],
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "vertices",
          "vertex"
        ],
        [
          "element",
          "element"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "set",
          "set"
        ],
        [
          "adjacent",
          "adjacent"
        ],
        [
          "iff",
          "iff"
        ],
        [
          "disjoint",
          "disjoint"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A graph K(n, k) (alternatively KG_(n,k)), whose vertices correspond to the k-element subsets of a set of n elements, and where two vertices are adjacent iff the two corresponding sets are disjoint."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Kneser graph"
}

Download raw JSONL data for Kneser graph meaning in English (1.3kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-04-13 from the enwiktionary dump dated 2025-04-03 using wiktextract (aeaf2a1 and fb63907). 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.