"graph theory" meaning in English

See graph theory in All languages combined, or Wiktionary

Noun

Forms: graph theories [plural]
Head templates: {{en-noun|~}} graph theory (countable and uncountable, plural graph theories)
  1. (uncountable, mathematics) The branch of mathematics dealing with the properties of graphs (networks of vertices and edges). Tags: uncountable Categories (topical): Mathematics, Graph theory Translations (study of graphs (networks of nodes and edges)): 圖論 (Chinese Mandarin), 图论 (túlùn) (Chinese Mandarin), teorie grafů [feminine] (Czech), grafteori [common-gender] (Danish), grafentheorie (Dutch), grafeteorio (Esperanto), grafeiko (Esperanto), teorio de grafeoj (Esperanto), verkkoteoria (Finnish), graafiteoria (Finnish), théorie des graphes [feminine] (French), Graphentheorie [feminine] (German), θεωρία γράφων (theoría gráfon) [feminine] (Greek), ⁧תורת הגרפים⁩ (torát hagráfim) [feminine] (Hebrew), gráfelmélet (Hungarian), netafræði [feminine] (Icelandic), graffræði [feminine] (Icelandic), graiftheoiric [feminine] (Irish), teoria dei grafi [feminine] (Italian), グラフ理論 (gurafu riron) (Japanese), grafų teorija [feminine] (Lithuanian), teori graf (Malay), grafteori (Norwegian Bokmål), teoria dos grafos [feminine] (Portuguese), teorie de grafuri [feminine] (Romanian), тео́рия гра́фов (teórija gráfov) (Russian), teoría de grafos [feminine] (Spanish), grafteori [common-gender] (Swedish), palatalangguhitan (Tagalog), çizit kuramı (Turkish), çizit teorisi (Turkish), graf teorisi (Turkish)
    Sense id: en-graph_theory-en-noun-VfsseSvg Disambiguation of Graph theory: 56 44 Topics: mathematics, sciences Disambiguation of 'study of graphs (networks of nodes and edges)': 89 11
  2. (countable, applied mathematics) A theory developed by applying graph theory to a particular problem or application. Tags: countable Derived forms: graph-theoretic, graph-theoretical, algebraic graph theory, extremal graph theory, geometric graph theory, probabilistic graph theory, topological graph theory
    Sense id: en-graph_theory-en-noun-Xy11DPVN

Inflected forms

Download JSON data for graph theory meaning in English (9.6kB)

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          "text": "The type of graph studied in graph theory is formally described as an ordered pair G#x3D;(V,E) comprising a set V of vertices, or nodes, and a set E of pairs (either ordered or unordered) of vertices, each representing an (directed or undirected) edge; if desired, the vertices and/or edges can be labelled.",
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          "text": "In graph theory there are two concepts of \"sameness\" whereby graphs are judged to be \"the same\", namely equality and isomorphism.[…]An indication of the pervasive role isomorphism has in graph theory is the fact that isomorphism has virtually captured the word \"is\".",
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          "text": "Extremal problems are at the very heart of graph theory. Interpreting it broadly, extremal graph theory encompasses most of graph theory, in its narrow sense, it contains many of the deepest and most beautiful results in graph theory.",
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          "_dis1": "89 11",
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          "word": "圖論"
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          "roman": "túlùn",
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          "sense": "study of graphs (networks of nodes and edges)",
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            "feminine"
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          "word": "teorie grafů"
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          "lang": "Danish",
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          "_dis1": "89 11",
          "code": "nl",
          "lang": "Dutch",
          "sense": "study of graphs (networks of nodes and edges)",
          "word": "grafentheorie"
        },
        {
          "_dis1": "89 11",
          "code": "eo",
          "lang": "Esperanto",
          "sense": "study of graphs (networks of nodes and edges)",
          "word": "grafeteorio"
        },
        {
          "_dis1": "89 11",
          "code": "eo",
          "lang": "Esperanto",
          "sense": "study of graphs (networks of nodes and edges)",
          "word": "grafeiko"
        },
        {
          "_dis1": "89 11",
          "code": "eo",
          "lang": "Esperanto",
          "sense": "study of graphs (networks of nodes and edges)",
          "word": "teorio de grafeoj"
        },
        {
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          "code": "fi",
          "lang": "Finnish",
          "sense": "study of graphs (networks of nodes and edges)",
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          "sense": "study of graphs (networks of nodes and edges)",
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          "sense": "study of graphs (networks of nodes and edges)",
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          "word": "théorie des graphes"
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          "roman": "theoría gráfon",
          "sense": "study of graphs (networks of nodes and edges)",
          "tags": [
            "feminine"
          ],
          "word": "θεωρία γράφων"
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          "code": "ja",
          "lang": "Japanese",
          "roman": "gurafu riron",
          "sense": "study of graphs (networks of nodes and edges)",
          "word": "グラフ理論"
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          "sense": "study of graphs (networks of nodes and edges)",
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          "sense": "study of graphs (networks of nodes and edges)",
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          "code": "nb",
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          "sense": "study of graphs (networks of nodes and edges)",
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          "_dis1": "89 11",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "study of graphs (networks of nodes and edges)",
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          "_dis1": "89 11",
          "code": "ro",
          "lang": "Romanian",
          "sense": "study of graphs (networks of nodes and edges)",
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            "feminine"
          ],
          "word": "teorie de grafuri"
        },
        {
          "_dis1": "89 11",
          "code": "ru",
          "lang": "Russian",
          "roman": "teórija gráfov",
          "sense": "study of graphs (networks of nodes and edges)",
          "word": "тео́рия гра́фов"
        },
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          "code": "es",
          "lang": "Spanish",
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          "word": "teoría de grafos"
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          "text": "2009, Fu Lee Wang, Christopher C. Yang, Chapter XI: Extracting the Essence: Automatic Text Summarization, Yin-Leng Theng, Schubert Foo, Dion Goh, Jin-Cheon Na (editors), Handbook of Research on Digital Libraries, IGI Global (Information Science Reference), page 114,\nThe entity-level approaches build an internal representation for text units and their relationships, and use graph theories to determine the significance of units."
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  "word": "graph theory"
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  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "圖論"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "túlùn",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "图论"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "teorie grafů"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "common-gender"
      ],
      "word": "grafteori"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "grafentheorie"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "grafeteorio"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "grafeiko"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "teorio de grafeoj"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "verkkoteoria"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "graafiteoria"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "théorie des graphes"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "Graphentheorie"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "theoría gráfon",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "θεωρία γράφων"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "torát hagráfim",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "⁧תורת הגרפים⁩"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "gráfelmélet"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "netafræði"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "graffræði"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "graiftheoiric"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "teoria dei grafi"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "gurafu riron",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "グラフ理論"
    },
    {
      "code": "lt",
      "lang": "Lithuanian",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "grafų teorija"
    },
    {
      "code": "ms",
      "lang": "Malay",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "teori graf"
    },
    {
      "code": "nb",
      "lang": "Norwegian Bokmål",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "grafteori"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "teoria dos grafos"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "teorie de grafuri"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "teórija gráfov",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "тео́рия гра́фов"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "feminine"
      ],
      "word": "teoría de grafos"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "study of graphs (networks of nodes and edges)",
      "tags": [
        "common-gender"
      ],
      "word": "grafteori"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "palatalangguhitan"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "çizit kuramı"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "çizit teorisi"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "study of graphs (networks of nodes and edges)",
      "word": "graf teorisi"
    }
  ],
  "word": "graph theory"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-03-12 from the enwiktionary dump dated 2024-03-01 using wiktextract (68773ab and 5f6ddbb). 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.