"Grötzsch's theorem" meaning in English

{
  "etymology_text": "Named after German mathematician Herbert Grötzsch, who published a proof in 1959.",
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  "lang_code": "en",
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          "name": "Graph theory",
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      "glosses": [
        "The statement that every triangle-free planar graph has a coloring using only three colors."
      ],
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          "graph theory",
          "graph theory"
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        [
          "triangle",
          "triangle"
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          "planar graph",
          "planar graph"
        ],
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          "coloring",
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          "color",
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      "raw_glosses": [
        "(graph theory) The statement that every triangle-free planar graph has a coloring using only three colors."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Grötzsch's theorem"
}

{
  "etymology_text": "Named after German mathematician Herbert Grötzsch, who published a proof in 1959.",
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      "expansion": "Grötzsch's theorem",
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  "lang_code": "en",
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      "glosses": [
        "The statement that every triangle-free planar graph has a coloring using only three colors."
      ],
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        [
          "graph theory",
          "graph theory"
        ],
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          "triangle",
          "triangle"
        ],
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          "planar graph",
          "planar graph"
        ],
        [
          "coloring",
          "coloring"
        ],
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          "color",
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      ],
      "raw_glosses": [
        "(graph theory) The statement that every triangle-free planar graph has a coloring using only three colors."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Grötzsch's theorem"
}