"Eulerian graph" meaning in All languages combined

See Eulerian graph on Wiktionary

Noun [English]

Forms: Eulerian graphs [plural]
Etymology: Named after mathematician Leonhard Euler, who studied graphs of this type when solving the Seven Bridges of Königsberg problem. Head templates: {{en-noun}} Eulerian graph (plural Eulerian graphs)
  1. (graph theory) a graph containing an Eulerian circuit. Wikipedia link: Eulerian graph, Leonhard Euler, Seven Bridges of Königsberg Categories (topical): Graph theory Related terms: Hamiltonian graph
    Sense id: en-Eulerian_graph-en-noun-tGC~yBuV Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: graph-theory, mathematics, sciences
{
  "etymology_text": "Named after mathematician Leonhard Euler, who studied graphs of this type when solving the Seven Bridges of Königsberg problem.",
  "forms": [
    {
      "form": "Eulerian graphs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Eulerian graph (plural Eulerian 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 containing an Eulerian circuit."
      ],
      "id": "en-Eulerian_graph-en-noun-tGC~yBuV",
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "Eulerian circuit",
          "Eulerian circuit"
        ]
      ],
      "raw_glosses": [
        "(graph theory) a graph containing an Eulerian circuit."
      ],
      "related": [
        {
          "word": "Hamiltonian graph"
        }
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Eulerian graph",
        "Leonhard Euler",
        "Seven Bridges of Königsberg"
      ]
    }
  ],
  "word": "Eulerian graph"
}
{
  "etymology_text": "Named after mathematician Leonhard Euler, who studied graphs of this type when solving the Seven Bridges of Königsberg problem.",
  "forms": [
    {
      "form": "Eulerian graphs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Eulerian graph (plural Eulerian graphs)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Hamiltonian graph"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Graph theory"
      ],
      "glosses": [
        "a graph containing an Eulerian circuit."
      ],
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "Eulerian circuit",
          "Eulerian circuit"
        ]
      ],
      "raw_glosses": [
        "(graph theory) a graph containing an Eulerian circuit."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Eulerian graph",
        "Leonhard Euler",
        "Seven Bridges of Königsberg"
      ]
    }
  ],
  "word": "Eulerian graph"
}

Download raw JSONL data for Eulerian graph meaning in All languages combined (1.0kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.