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star chromatic number

fewest colors needed such that every 4-vertex path uses ≥3 colors
Thing graph_property Q130442546
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Summary

star chromatic number is a graph property[1]. It is known by 3 alternative names across languages and contexts.[2]

Key Facts

  • Facet of: star coloring[3]
  • Different from: circular chromatic number[4]
  • Greater than: acyclic chromatic number[5]
  • Less than: maximum vertex degree[6], vertex cover number[7], tree-depth[8]
  • Maintained by WikiProject: WikiProject Mathematics[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] ↑ . Star coloring of graphs. wikidata.org.
  5. [7] ↑ . Star coloring of graphs. wikidata.org.
  6. [8] ↑ . Tree-depth, subgraph coloring and homomorphism bounds. wikidata.org.
  7. [9] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

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

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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. 5d ago · MatSuBot bot · 2026-10-10 view diff on Wikidata ↗
    Less than → maximum vertex degree, vertex cover number, tree-depth
    Wikidata description → fewest colors needed such that every 4-vertex path uses ≥3 colors
    Wikipedia languages → ['en']
    Maintained by wikiproject → WikiProject Mathematics
    + 7 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.