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 draws 135 Wikipedia views per month (computational_problem category, ranking #22 of 61).[2]

Key Facts

  • dominating set's instance of is recorded as computational problem[3].
  • dominating set's Library of Congress authority ID is recorded as sh97008149[4].
  • dominating set's subclass of is recorded as set[5].
  • dominating set's part of is recorded as vertex set[6].
  • dominating set's Commons category is recorded as Dominating set (graph theory)[7].
  • dominating set's opposite of is recorded as nonblocker[8].
  • dominating set's Freebase ID is recorded as /m/05sv8d[9].
  • dominating set's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • dominating set's Microsoft Academic ID is recorded as 146661039[11].
  • dominating set's National Library of Israel J9U ID is recorded as 987007549490505171[12].
  • dominating set's OpenAlex ID is recorded as C146661039[13].
  • dominating set's computational complexity is recorded as NP-complete[14].
  • dominating set's introduced in is recorded as The Theory of Graphs[15].
  • dominating set's introduced in is recorded as Theory of Graphs[16].
  • dominating set's Yale LUX ID is recorded as concept/e3bdba98-fc53-44f4-acbe-eb335e2808bb[17].

Why It Matters

dominating set draws 135 Wikipedia views per month (computational_problem category, ranking #22 of 61).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[18] It is known by 8 alternative names across languages and contexts.[19]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . github.com. Retrieved . github.com. Provenance: wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Freebase Data Dumps. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . National Library of Israel. wikidata.org.
  11. [13] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . Bounds on split total domination number of graphs. wikidata.org.
  14. [16] . Bounds on split total domination number of graphs. wikidata.org.
  15. [17] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . 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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