"Hamiltonian cycle" meaning in English

{
  "forms": [
    {
      "form": "Hamiltonian cycles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hamiltonian cycle (plural Hamiltonian cycles)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Danish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Dutch translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Graph theory",
          "orig": "en:Graph theory",
          "parents": [
            "Mathematics",
            "Visualization",
            "Formal sciences",
            "Computing",
            "Interdisciplinary fields",
            "Sciences",
            "Technology",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "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"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hamiltonian cycle (plural Hamiltonian cycles)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Danish translations",
        "Terms with Dutch translations",
        "Terms with Polish translations",
        "en:Graph theory"
      ],
      "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"
}