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maximal independent set

independent set of graph vertices that is not a subset of any other independent set
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maximal independent set

Summary

maximal independent set ranks in the top 2% of general entities by monthly Wikipedia readership (390 views/month).[1]

Key Facts

  • maximal independent set is a type of independent set[2].
  • maximal independent set is the opposite of maximal clique[3].
  • maximal independent set is the opposite of minimal vertex cover[4].
  • maximal independent set's has characteristic is recorded as maximal with respect to set inclusion[5].
  • maximal independent set's different from is recorded as maximum independent set problem[6].
  • maximal independent set's different from is recorded as maximum independent set[7].
  • maximal independent set's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

maximal independent set is a type of independent set[2]. Recorded opposite of include maximal clique[3] and minimal vertex cover[4].

Why It Matters

maximal independent set ranks in the top 2% of general entities by monthly Wikipedia readership (390 views/month).[1] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[9] It is known by 10 alternative names across languages and contexts.[10]

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. wikidata.org.
  3. [10] ↑ . 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). maximal independent set. Retrieved April 10, 2026, from https://4ort.xyz/entity/maximal-independent-set
MLA “maximal independent set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/maximal-independent-set.
BibTeX @misc{4ortxyz_maximal-independent-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{maximal independent set}}, year = {2026}, url = {https://4ort.xyz/entity/maximal-independent-set}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): maximal independent set — https://4ort.xyz/entity/maximal-independent-set (retrieved 2026-04-10)

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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. 1d ago · Dexxor · 2026-07-24 view diff on Wikidata ↗
    Has characteristic → maximal with respect to set inclusion
    Subclass of → independent set
    Different from → maximum independent set problem, maximum independent set
    Said to be the same as → Q138529530
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P460]]: [[Q138529530]], using [[User:Frettie/consistency check add.js]]"
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