"ultragraph" meaning in English

See ultragraph in All languages combined, or Wiktionary

Noun

Forms: ultragraphs [plural]
Etymology: From ultra- + graph. Etymology templates: {{prefix|en|ultra|graph}} ultra- + graph Head templates: {{en-noun}} ultragraph (plural ultragraphs)
  1. (mathematics) A generalization of a directed graph in which the source of an edge is a set of vertices rather than a single vertex. Categories (topical): Mathematics

Inflected forms

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "ultra",
        "3": "graph"
      },
      "expansion": "ultra- + graph",
      "name": "prefix"
    }
  ],
  "etymology_text": "From ultra- + graph.",
  "forms": [
    {
      "form": "ultragraphs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "ultragraph (plural ultragraphs)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
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        },
        {
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          "parents": [],
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        },
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          "name": "Pages with entries",
          "parents": [],
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Daniel Gonçalves, Danilo Royer, “Ultragraphs and shifts over infinite alphabets”, in arXiv:",
          "text": "One of the key results needed in the proofs of our conclusions is the realization of a class of ultragraph C*-algebras as partial crossed products, a result of interest on its own..",
          "type": "quote"
        }
      ],
      "glosses": [
        "A generalization of a directed graph in which the source of an edge is a set of vertices rather than a single vertex."
      ],
      "id": "en-ultragraph-en-noun-FD861IoI",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "directed graph",
          "directed graph"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A generalization of a directed graph in which the source of an edge is a set of vertices rather than a single vertex."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "ultragraph"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "ultra",
        "3": "graph"
      },
      "expansion": "ultra- + graph",
      "name": "prefix"
    }
  ],
  "etymology_text": "From ultra- + graph.",
  "forms": [
    {
      "form": "ultragraphs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "ultragraph (plural ultragraphs)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
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  "senses": [
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      "examples": [
        {
          "ref": "2015, Daniel Gonçalves, Danilo Royer, “Ultragraphs and shifts over infinite alphabets”, in arXiv:",
          "text": "One of the key results needed in the proofs of our conclusions is the realization of a class of ultragraph C*-algebras as partial crossed products, a result of interest on its own..",
          "type": "quote"
        }
      ],
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        "A generalization of a directed graph in which the source of an edge is a set of vertices rather than a single vertex."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "directed graph",
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        ]
      ],
      "raw_glosses": [
        "(mathematics) A generalization of a directed graph in which the source of an edge is a set of vertices rather than a single vertex."
      ],
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        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "ultragraph"
}

Download raw JSONL data for ultragraph meaning in English (1.4kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-06 from the enwiktionary dump dated 2025-01-01 using wiktextract (f889f65 and 8fbd9e8). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.