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arboricity

minimum number of forests into which the edges of a graph can be partitioned
Thing graph_property Q4784907
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Summary

arboricity is a graph property[1]. arboricity draws 171 Wikipedia views per month (graph property category, ranking #16 of 43).[2]

Key Facts

  • Codomain: set of non-negative integers[3]
  • Different from: vertex arboricity[4]
  • Studied by: graph theory[5]
  • Greater than: thickness[6]
  • Less than: linear arboricity[7], degeneracy[8], injective chromatic index[9], book thickness[10]
  • Maintained by WikiProject: WikiProject Mathematics[11]

Why It Matters

arboricity has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[12] arboricity is known by 12 alternative names across languages and contexts.[13]

Related Entities

graph theory

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] ↑ . On the thickness and arboricity of a graph. wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . Induced and weak induced arboricities. wikidata.org.
  8. [10] ↑ . Relations among embedding parameters for graphs. wikidata.org.
  9. [11] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] ↑ . Wikidata sitelinks. wikidata.org.
  3. [13] ↑ . 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). arboricity. Retrieved October 14, 2026, from https://4ort.xyz/entity/arboricity
MLA “arboricity.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/arboricity.
BibTeX @misc{4ortxyz_arboricity_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{arboricity}}, year = {2026}, url = {https://4ort.xyz/entity/arboricity}, note = {Accessed: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): arboricity — https://4ort.xyz/entity/arboricity (retrieved 2026-10-14)

Canonical URL: https://4ort.xyz/entity/arboricity · 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. 8d ago · KrBot bot · 2026-10-08 view diff on Wikidata ↗
    Maintained by wikiproject → WikiProject Mathematics
    Studied by → graph theory
    Greater than → thickness
    Different from → vertex arboricity
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-update:1| */ Criterion used: less than or equal to, разрешение перенаправления / resolving redirect less than or equal to → less than or equal to ([[:toollabs:editgroups/b/KrBotResol"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.