"medial graph" meaning in All languages combined

See medial graph on Wiktionary

Noun [English]

Forms: medial graphs [plural]
Head templates: {{en-noun}} medial graph (plural medial graphs)
  1. (graph theory) A graph derived from a given plane graph such that this derived graph has a vertex corresponding to each edge of the given graph, and such that for every “angle” (consecutive trio of edge, vertex, edge) along the border of a face of the given graph there is a corresponding edge which connects the vertices corresponding to the two edges that are part of that “angle”. Wikipedia link: medial graph Categories (topical): Graph theory Hypernyms: plane graph, regular graph
    Sense id: en-medial_graph-en-noun-aavAMgVz Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: graph-theory, mathematics, sciences

Inflected forms

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      "expansion": "medial graph (plural medial graphs)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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        },
        {
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          "langcode": "en",
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          "orig": "en:Graph theory",
          "parents": [
            "Mathematics",
            "Visualization",
            "Formal sciences",
            "Computing",
            "Interdisciplinary fields",
            "Sciences",
            "Technology",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The number of vertices of a medial graph is equal to the number of edges of its original graph, and the number of edges of a medial graph is equal to the sum of the degrees of the vertices of the original graph.",
          "type": "example"
        }
      ],
      "glosses": [
        "A graph derived from a given plane graph such that this derived graph has a vertex corresponding to each edge of the given graph, and such that for every “angle” (consecutive trio of edge, vertex, edge) along the border of a face of the given graph there is a corresponding edge which connects the vertices corresponding to the two edges that are part of that “angle”."
      ],
      "hypernyms": [
        {
          "word": "plane graph"
        },
        {
          "word": "regular graph"
        }
      ],
      "id": "en-medial_graph-en-noun-aavAMgVz",
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "plane graph",
          "plane graph"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A graph derived from a given plane graph such that this derived graph has a vertex corresponding to each edge of the given graph, and such that for every “angle” (consecutive trio of edge, vertex, edge) along the border of a face of the given graph there is a corresponding edge which connects the vertices corresponding to the two edges that are part of that “angle”."
      ],
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        "mathematics",
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      "wikipedia": [
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    }
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}
{
  "forms": [
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      "form": "medial graphs",
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  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "medial graph (plural medial graphs)",
      "name": "en-noun"
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  "hypernyms": [
    {
      "word": "plane graph"
    },
    {
      "word": "regular graph"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        "en:Graph theory"
      ],
      "examples": [
        {
          "text": "The number of vertices of a medial graph is equal to the number of edges of its original graph, and the number of edges of a medial graph is equal to the sum of the degrees of the vertices of the original graph.",
          "type": "example"
        }
      ],
      "glosses": [
        "A graph derived from a given plane graph such that this derived graph has a vertex corresponding to each edge of the given graph, and such that for every “angle” (consecutive trio of edge, vertex, edge) along the border of a face of the given graph there is a corresponding edge which connects the vertices corresponding to the two edges that are part of that “angle”."
      ],
      "links": [
        [
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          "graph theory"
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          "plane graph",
          "plane graph"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A graph derived from a given plane graph such that this derived graph has a vertex corresponding to each edge of the given graph, and such that for every “angle” (consecutive trio of edge, vertex, edge) along the border of a face of the given graph there is a corresponding edge which connects the vertices corresponding to the two edges that are part of that “angle”."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
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      "wikipedia": [
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    }
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  "word": "medial graph"
}

Download raw JSONL data for medial graph meaning in All languages combined (1.8kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 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.

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.