"acyclic digraph" meaning in All languages combined

See acyclic digraph on Wiktionary

Noun [英語]

Forms: acyclic digraphs [plural]
  1. 有向無環圖
    Sense id: zh-acyclic_digraph-en-noun-GlhPc7~f Categories (other): 英語 圖論, 英語 計算機科學 Topics: mathematics
The following are not (yet) sense-disambiguated
Synonyms: acyclic directed graph, directed acyclic graph, DAG
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      "form": "acyclic digraphs",
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  "lang": "英語",
  "lang_code": "en",
  "pos": "noun",
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        {
          "ref": "1993, Suh-Ryung-Kim, The Competition Number and Its Variants, J. Gimbel, J.W. Kennedy, L.V. Quintas (editors), Quo Vadis, Graph Theory?: A Source Book for Challenges and Directions, Elsevier (North-Holland), page 313,",
          "text": "In the study of the competition graph of an acyclic digraph, there are two fundamental questions which were proposed by Roberts in 1978: One is to characterize the acyclic digraphs that have interval competition graphs and the other is to characterize the graphs which are competition graphs of acyclic digraphs."
        },
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          "ref": "2009, Tamara Mchedlidze, Antonios Symvonis, Crossing-Optimal Acyclic HP-Completion for Outerplanar st-Digraphs, Hung Q. Ngo (editor), Computing and Combinatorics: 15th Annual International Conference, Proceedings, Springer, LNCS 5609, page 76,",
          "text": "Determining whether a graph has a hamiltonian path or circuit is NP-complete [3]. The problem remains NP-complete for cubic planar graphs [3], for maximal planar graphs [9], and for planar digraphs [3]. It can be trivially solved in polynomial time for planar acyclic digraphs."
        },
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          "ref": "2018, Gregory Gutin, 3. Acyclic Digraphs, Jørgen Bang-Jensen, Gregory Gutin, Classes of Directed Graphs, Springer, page 125,",
          "text": "Acyclic digraphs form a well-studied family of digraphs of great interest in graph theory, algorithms and applications."
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    {
      "word": "acyclic directed graph"
    },
    {
      "word": "directed acyclic graph"
    },
    {
      "word": "DAG"
    }
  ],
  "word": "acyclic digraph"
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  "lang": "英語",
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          "text": "In the study of the competition graph of an acyclic digraph, there are two fundamental questions which were proposed by Roberts in 1978: One is to characterize the acyclic digraphs that have interval competition graphs and the other is to characterize the graphs which are competition graphs of acyclic digraphs."
        },
        {
          "ref": "2009, Tamara Mchedlidze, Antonios Symvonis, Crossing-Optimal Acyclic HP-Completion for Outerplanar st-Digraphs, Hung Q. Ngo (editor), Computing and Combinatorics: 15th Annual International Conference, Proceedings, Springer, LNCS 5609, page 76,",
          "text": "Determining whether a graph has a hamiltonian path or circuit is NP-complete [3]. The problem remains NP-complete for cubic planar graphs [3], for maximal planar graphs [9], and for planar digraphs [3]. It can be trivially solved in polynomial time for planar acyclic digraphs."
        },
        {
          "ref": "2018, Gregory Gutin, 3. Acyclic Digraphs, Jørgen Bang-Jensen, Gregory Gutin, Classes of Directed Graphs, Springer, page 125,",
          "text": "Acyclic digraphs form a well-studied family of digraphs of great interest in graph theory, algorithms and applications."
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      "glosses": [
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  "synonyms": [
    {
      "word": "acyclic directed graph"
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    {
      "word": "directed acyclic graph"
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    {
      "word": "DAG"
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  "word": "acyclic digraph"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-22 from the zhwiktionary dump dated 2025-01-20 using wiktextract (0c0c1f1 and 4230888). 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.

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