treewidth

integer invariant of an undirected graph which measures how far it is from being a tree
Thing graph_property Q5067368
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Summary

treewidth is a graph property[1]. treewidth draws 348 Wikipedia views per month (graph_property category, ranking #6 of 43).[2]

Key Facts

  • treewidth is credited with the discovery of Francesco Brioschi[3].
  • treewidth is credited with the discovery of Rudolf Halin[4].
  • treewidth is credited with the discovery of Neil Robertson[5].
  • treewidth is credited with the discovery of Paul Seymour[6].
  • treewidth's instance of is recorded as graph property[7].
  • treewidth's Stack Exchange tag is recorded as https://cstheory.stackexchange.com/tags/treewidth[8].
  • treewidth's Stack Exchange tag is recorded as https://cs.stackexchange.com/tags/treewidth[9].
  • treewidth's studied by is recorded as graph theory[10].
  • treewidth's greater than is recorded as degeneracy[11].
  • treewidth's greater than is recorded as chordality[12].
  • treewidth's greater than is recorded as cop number[13].
  • treewidth's less than is recorded as circumference[14].
  • treewidth's less than is recorded as pathwidth[15].
  • treewidth's less than is recorded as feedback vertex set number[16].
  • treewidth's less than is recorded as carving width[17].
  • treewidth's less than is recorded as branchwidth[18].
  • treewidth's less than is recorded as positive semidefinite zero forcing number[19].
  • treewidth's maintained by WikiProject is recorded as WikiProject Mathematics[20].

Body

Definition and Type

treewidth's instance of is recorded as graph property[7].

Why It Matters

treewidth draws 348 Wikipedia views per month (graph_property category, ranking #6 of 43).[2] treewidth has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[21] treewidth is known by 15 alternative names across languages and contexts.[22]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [7] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . Girth and treewidth. wikidata.org.
  10. [12] ↑ . On the chordality of a graph. wikidata.org.
  11. [13] ↑ . The cops and robber game on graphs with forbidden (induced) subgraphs. wikidata.org.
  12. [14] ↑ . Tree-width and circumference of graphs. wikidata.org.
  13. [15] ↑ . Defective and clustered colouring of graphs with given girth. wikidata.org.
  14. [16] ↑ . Defective and clustered colouring of graphs with given girth. wikidata.org.
  15. [17] ↑ . Comparing 17 graph parameters. wikidata.org.
  16. [18] ↑ . Graph minors. X. Obstructions to tree-decomposition. wikidata.org.
  17. [19] ↑ . Parameters related to tree-width, zero forcing, and maximum nullity of a graph. wikidata.org.
  18. [20] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] ↑ . Wikidata sitelinks. wikidata.org.
  3. [22] ↑ . 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). treewidth. Retrieved October 13, 2026, from https://4ort.xyz/entity/treewidth
MLA “treewidth.” 4ort.xyz Knowledge Graph, 4ort.xyz, 13 Oct. 2026, https://4ort.xyz/entity/treewidth.
BibTeX @misc{4ortxyz_treewidth_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{treewidth}}, year = {2026}, url = {https://4ort.xyz/entity/treewidth}, note = {Accessed: 2026-10-13}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): treewidth — https://4ort.xyz/entity/treewidth (retrieved 2026-10-13)

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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. 6d ago · KrBot bot · 2026-10-08 view diff on Wikidata ↗
    Instance of → graph property
    Wikipedia languages → ['de', 'en', 'fa', 'fr', 'hu', 'ru', 'uk', 'zh']
    Maintained by wikiproject → WikiProject Mathematics
    Less than → circumference, pathwidth, feedback vertex set number +3
    + 5 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.