"Hamiltonian cycle" meaning in English

{
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      "form": "Hamiltonian cycles",
      "tags": [
        "plural"
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      "expansion": "Hamiltonian cycle (plural Hamiltonian cycles)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      ],
      "glosses": [
        "A Hamiltonian path with an additional connection between the first and last vertices visited, forming a cycle."
      ],
      "id": "en-Hamiltonian_cycle-en-noun-5oE-axXb",
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "Hamiltonian path",
          "Hamiltonian path"
        ],
        [
          "vertices",
          "vertex"
        ],
        [
          "cycle",
          "cycle"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A Hamiltonian path with an additional connection between the first and last vertices visited, forming a cycle."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "da",
          "lang": "Danish",
          "sense": "graph theory: a cycle visiting all vertices once",
          "tags": [
            "common-gender"
          ],
          "word": "hamiltonkreds"
        },
        {
          "code": "nl",
          "lang": "Dutch",
          "sense": "graph theory: a cycle visiting all vertices once",
          "word": "Hamiltoncykel"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "graph theory: a cycle visiting all vertices once",
          "tags": [
            "masculine"
          ],
          "word": "Hamiltonian"
        }
      ]
    }
  ],
  "word": "Hamiltonian cycle"
}

{
  "forms": [
    {
      "form": "Hamiltonian cycles",
      "tags": [
        "plural"
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      "expansion": "Hamiltonian cycle (plural Hamiltonian cycles)",
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  "lang_code": "en",
  "pos": "noun",
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      ],
      "glosses": [
        "A Hamiltonian path with an additional connection between the first and last vertices visited, forming a cycle."
      ],
      "links": [
        [
          "graph theory",
          "graph theory"
        ],
        [
          "Hamiltonian path",
          "Hamiltonian path"
        ],
        [
          "vertices",
          "vertex"
        ],
        [
          "cycle",
          "cycle"
        ]
      ],
      "raw_glosses": [
        "(graph theory) A Hamiltonian path with an additional connection between the first and last vertices visited, forming a cycle."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "graph theory: a cycle visiting all vertices once",
      "tags": [
        "common-gender"
      ],
      "word": "hamiltonkreds"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "graph theory: a cycle visiting all vertices once",
      "word": "Hamiltoncykel"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "graph theory: a cycle visiting all vertices once",
      "tags": [
        "masculine"
      ],
      "word": "Hamiltonian"
    }
  ],
  "word": "Hamiltonian cycle"
}