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dominating set

a set of vertices in a node-link graph such that every vertex is either in the set or adjacent to it
Thing computational_problem Q2915204
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dominating set

Summary

dominating set is a computational problem[1]. It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • dominating set's instance of is recorded as computational problem[3].
  • dominating set is a type of set[4].
  • dominating set is part of vertex set[5].
  • dominating set's Commons category is recorded as Dominating set (graph theory)[6].
  • dominating set is the opposite of nonblocker[7].
  • dominating set's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • dominating set's computational complexity is recorded as NP-complete[9].
  • dominating set's introduced in is recorded as The Theory of Graphs[10].
  • dominating set's introduced in is recorded as Theory of Graphs[11].

Body

Definition and Type

dominating set's instance of is recorded as computational problem[3]. It is a type of set[4]. It is the opposite of nonblocker[7].

Use and Application

dominating set is part of vertex set[5].

Why It Matters

dominating set has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[2] It is known by 8 alternative names across languages and contexts.[12]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . Bounds on split total domination number of graphs. wikidata.org.
  9. [11] ↑ . Bounds on split total domination number of graphs. wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikidata sitelinks. wikidata.org.
  2. [12] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). dominating set. Retrieved May 3, 2026, from https://4ort.xyz/entity/dominating-set
MLA “dominating set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/dominating-set.
BibTeX @misc{4ortxyz_dominating-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{dominating set}}, year = {2026}, url = {https://4ort.xyz/entity/dominating-set}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): dominating set — https://4ort.xyz/entity/dominating-set (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 5w ago · Twofivesixbot bot · 2026-05-28 view diff on Wikidata ↗
    Subclass of → set
    Computational complexity → NP-complete
    Opposite of → nonblocker
    Subclass of → —
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007549490505171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.