chromatic number

characteristic of a graph
Thing graph_property Q3879388
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chromatic number

Summary

chromatic number is a graph property[1]. It draws 365 Wikipedia views per month (graph_property category, ranking #15 of 43).[2]

Key Facts

  • chromatic number's instance of is recorded as graph property[3].
  • chromatic number's instance of is recorded as computational problem[4].
  • chromatic number is a type of dimensionless quantity[5].
  • chromatic number is a type of non-negative integer[6].
  • chromatic number is part of chromatic polynomial[7].
  • chromatic number is part of Karp's 21 NP-complete problems[8].
  • chromatic number's facet of is recorded as vertex coloring[9].
  • chromatic number's different from is recorded as edge chromatic number[10].
  • chromatic number's studied by is recorded as graph theory[11].
  • chromatic number's greater than is recorded as fractional chromatic number[12].
  • chromatic number's greater than is recorded as cochromatic number[13].
  • chromatic number's greater than is recorded as 1-defective chromatic number[14].
  • chromatic number's greater than is recorded as chordality[15].
  • chromatic number's greater than is recorded as linear vertex arboricity[16].
  • chromatic number's greater than is recorded as circular chromatic number[17].
  • chromatic number's less than is recorded as choosability[18].
  • chromatic number's less than is recorded as Grundy number[19].
  • chromatic number's less than is recorded as distinguishing chromatic number[20].
  • chromatic number's less than is recorded as spectral radius of a graph[21].
  • chromatic number's less than is recorded as number of edges[22].
  • chromatic number's less than is recorded as 2-dynamic chromatic number[23].
  • chromatic number's less than is recorded as game chromatic number[24].
  • chromatic number's less than is recorded as degeneracy[25].
  • chromatic number's less than is recorded as b-chromatic number[26].
  • chromatic number's less than is recorded as strong chromatic number[27].

Body

Definition and Type

Recorded instance of include graph property[3] and computational problem[4]. Recorded subclass of include dimensionless quantity[5] and non-negative integer[6].

Use and Application

Part of include chromatic polynomial[7], a graph property[28] and Karp's 21 NP-complete problems[8], a set[29].

Why It Matters

chromatic number draws 365 Wikipedia views per month (graph_property category, ranking #15 of 43).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[30] It is known by 25 alternative names across languages and contexts.[31]

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] ↑ . Retrieved . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . On the chordality of a graph. wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . Graph Coloring Methods. wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . More bounds for the Grundy number of graphs. wikidata.org.
  18. [20] ↑ . Bounds on the Distinguishing Chromatic Number. wikidata.org.
  19. [21] ↑ . Graphs & Digraphs. wikidata.org.
  20. [22] ↑ . Conflict-Free Colourings of Graphs and Hypergraphs. Retrieved . math.stackexchange.com. Provenance: wikidata.org.
  21. [23] ↑ . Dynamic coloring of graphs. wikidata.org.
  22. [24] ↑ . wikidata.org.
  23. [25] ↑ . On treewidth and graph minors. wikidata.org.
  24. [26] ↑ . The b-chromatic number and related topics—A survey. wikidata.org.
  25. [27] ↑ . wikidata.org.

Inline context (facts about related entities)

  1. [28] ↑ . Wikidata. wikidata.org. → on this site
  2. [29] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [30] ↑ . Wikidata sitelinks. wikidata.org.
  3. [31] ↑ . 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). chromatic number. Retrieved October 8, 2026, from https://4ort.xyz/entity/chromatic-number
MLA “chromatic number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Oct. 2026, https://4ort.xyz/entity/chromatic-number.
BibTeX @misc{4ortxyz_chromatic-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{chromatic number}}, year = {2026}, url = {https://4ort.xyz/entity/chromatic-number}, note = {Accessed: 2026-10-08}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): chromatic number — https://4ort.xyz/entity/chromatic-number (retrieved 2026-10-08)

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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. 18h ago · KrBot bot · 2026-10-08 view diff on Wikidata ↗
    Less than → choosability, Grundy number, distinguishing chromatic number +8
    Claims rich → —
    "/* wbsetqualifier-update:1| */ [[Property:P1013]]: [[Q11668618]], разрешение перенаправления / resolving redirect [[Q55935272]] → [[Q11668618]] ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q559352"
  2. 9d ago · Dexxor · 2026-09-29 view diff on Wikidata ↗
    Part of → chromatic polynomial, Karp's 21 NP-complete problems
    Maintained by wikiproject → WikiProject Mathematics
    Subclass of → dimensionless quantity, non-negative integer
    Instance of → —
    + 11 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update:2||1|1 */ [[Property:P5136]]: [[Q130343986]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.