"medial graph" meaning in English

{
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      "form": "medial graphs",
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      "expansion": "medial graph (plural medial graphs)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "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",
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        [
          "graph theory",
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          "plane graph",
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      "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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        "graph-theory",
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      "wikipedia": [
        "medial graph"
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    }
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  "word": "medial graph"
}

{
  "forms": [
    {
      "form": "medial graphs",
      "tags": [
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      "expansion": "medial graph (plural medial graphs)",
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  "hypernyms": [
    {
      "word": "plane graph"
    },
    {
      "word": "regular graph"
    }
  ],
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  "lang_code": "en",
  "pos": "noun",
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        {
          "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”."
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          "plane graph",
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      "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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  "word": "medial graph"
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