"Zarankiewicz problem" meaning in All languages combined

{
  "etymology_text": "Named after the Polish mathematician Kazimierz Zarankiewicz, who proposed several special cases of the problem in 1951.",
  "forms": [
    {
      "form": "the Zarankiewicz problem",
      "tags": [
        "canonical"
      ]
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  ],
  "head_templates": [
    {
      "args": {
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      "expansion": "the Zarankiewicz problem",
      "name": "en-prop"
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Graph theory",
          "orig": "en:Graph theory",
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      ],
      "glosses": [
        "An unsolved problem in mathematics, asking for the largest possible number of edges in a bipartite graph that has a given number of vertices and has no complete bipartite subgraphs of a given size."
      ],
      "id": "en-Zarankiewicz_problem-en-name-bLCp1LSp",
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "edge",
          "edge"
        ],
        [
          "bipartite",
          "bipartite"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "vertices",
          "vertex"
        ],
        [
          "complete",
          "complete"
        ],
        [
          "subgraph",
          "subgraph"
        ]
      ],
      "raw_glosses": [
        "(graph theory) An unsolved problem in mathematics, asking for the largest possible number of edges in a bipartite graph that has a given number of vertices and has no complete bipartite subgraphs of a given size."
      ],
      "related": [
        {
          "word": "Zarankiewicz function"
        }
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Zarankiewicz problem"
}

{
  "etymology_text": "Named after the Polish mathematician Kazimierz Zarankiewicz, who proposed several special cases of the problem in 1951.",
  "forms": [
    {
      "form": "the Zarankiewicz problem",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
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      },
      "expansion": "the Zarankiewicz problem",
      "name": "en-prop"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Zarankiewicz function"
    }
  ],
  "senses": [
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        "en:Graph theory"
      ],
      "glosses": [
        "An unsolved problem in mathematics, asking for the largest possible number of edges in a bipartite graph that has a given number of vertices and has no complete bipartite subgraphs of a given size."
      ],
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "edge",
          "edge"
        ],
        [
          "bipartite",
          "bipartite"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "vertices",
          "vertex"
        ],
        [
          "complete",
          "complete"
        ],
        [
          "subgraph",
          "subgraph"
        ]
      ],
      "raw_glosses": [
        "(graph theory) An unsolved problem in mathematics, asking for the largest possible number of edges in a bipartite graph that has a given number of vertices and has no complete bipartite subgraphs of a given size."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Zarankiewicz problem"
}