independence number

size of an independent set of graph vertices of maximal size
Thing graph_property Q93598162
Press Enter · cited answer in seconds

independence number

Summary

independence number is a graph property[1]. It draws 10 Wikipedia views per month (graph_property category, ranking #23 of 43).[2]

Key Facts

  • independence number's instance of is recorded as graph property[3].
  • independence number's subclass of is recorded as cardinality[4].
  • independence number's subclass of is recorded as non-negative integer[5].
  • independence number's opposite of is recorded as clique number[6].
  • independence number's opposite of is recorded as vertex cover number[7].
  • independence number's defining formula is recorded as \alpha(G)=\omega(\overline{G})[8].
  • independence number's Google Knowledge Graph ID is recorded as /g/11fv44l8h0[9].
  • independence number's MathWorld ID is recorded as IndependenceNumber[10].
  • independence number's greater than is recorded as independent domination number[11].
  • independence number's greater than is recorded as Havel–Hakimi residue[12].
  • independence number's greater than is recorded as average distance of a graph[13].
  • independence number's less than is recorded as Shannon capacity[14].
  • independence number's less than is recorded as upper domination number[15].
  • independence number's less than is recorded as annihilation number[16].
  • independence number's maintained by WikiProject is recorded as WikiProject Mathematics[17].
  • independence number's in defining formula is recorded as \alpha(G)[18].
  • independence number's in defining formula is recorded as \omega[19].
  • independence number's in defining formula is recorded as \overline G[20].
  • independence number's graphclasses.org ID is recorded as par_8[21].

Why It Matters

independence number draws 10 Wikipedia views per month (graph_property category, ranking #23 of 43).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[22] It is known by 14 alternative names across languages and contexts.[23]

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] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . Havel–Hakimi residues of unigraphs. wikidata.org.
  11. [13] . The average distance and the independence number. wikidata.org.
  12. [14] . On the Shannon capacity of a graph. wikidata.org.
  13. [15] . Retrieved . wikidata.org.
  14. [16] . Graphs with equal Independence and Annihilation Numbers. wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] . Wikidata sitelinks. wikidata.org.
  3. [23] . 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). independence number. Retrieved May 3, 2026, from https://4ort.xyz/entity/independence-number
MLA “independence number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/independence-number.
BibTeX @misc{4ortxyz_independence-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{independence number}}, year = {2026}, url = {https://4ort.xyz/entity/independence-number}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): independence number — https://4ort.xyz/entity/independence-number (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/independence-number · Last refreshed: