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acyclic chromatic number

fewest colors needed such that all 2-chromatic subgraphs are acyclic
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Summary

acyclic chromatic number is a graph property[1]. It draws 2 Wikipedia views per month (graph property category, ranking #29 of 43).[2]

Key Facts

  • Facet of: acyclic coloring[3]
  • Greater than: chromatic number[4]
  • Less than: star chromatic number[5], treewidth[6]
  • Maintained by WikiProject: WikiProject Mathematics[7]
  • Introduced in: Acyclic colorings of planar graphs[8]

Why It Matters

acyclic chromatic number is known by 3 alternative names across languages and contexts.[9]

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] ↑ . Induced and weak induced arboricities. wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . 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). acyclic chromatic number. Retrieved October 13, 2026, from https://4ort.xyz/entity/acyclic-chromatic-number
MLA “acyclic chromatic number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 13 Oct. 2026, https://4ort.xyz/entity/acyclic-chromatic-number.
BibTeX @misc{4ortxyz_acyclic-chromatic-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{acyclic chromatic number}}, year = {2026}, url = {https://4ort.xyz/entity/acyclic-chromatic-number}, note = {Accessed: 2026-10-13}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): acyclic chromatic number — https://4ort.xyz/entity/acyclic-chromatic-number (retrieved 2026-10-13)

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

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. 5d ago · MatSuBot bot · 2026-10-10 view diff on Wikidata ↗
    Less than → star chromatic number, treewidth
    Wikidata description → fewest colors needed such that all 2-chromatic subgraphs are acyclic
    Wikipedia languages → ['en']
    Introduced in → Acyclic colorings of planar graphs
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-update:1| */ Criterion used: less than or equal to, fix redirect less than or equal to → less than or equal to ([[:toollabs:editgroups/b/CB/e2e51cb0d899|details]])"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.