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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treewidth

Summary

treewidth is a graph property[1]. treewidth draws 94 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 Freebase ID is recorded as /m/0r4rwn3[8].
  • treewidth's Stack Exchange tag is recorded as https://cstheory.stackexchange.com/tags/treewidth[9].
  • treewidth's Stack Exchange tag is recorded as https://cs.stackexchange.com/tags/treewidth[10].
  • treewidth's defining formula is recorded as \operatorname{tw}(G)=\min{\omega(H)-1\mid H\supseteq G, H\text{ chordal}}[11].
  • treewidth's studied by is recorded as graph theory[12].
  • treewidth's MathWorld ID is recorded as Treewidth[13].
  • treewidth's greater than is recorded as degeneracy[14].
  • treewidth's greater than is recorded as chordality[15].
  • treewidth's greater than is recorded as cop number[16].
  • treewidth's less than is recorded as circumference[17].
  • treewidth's less than is recorded as pathwidth[18].
  • treewidth's less than is recorded as feedback vertex set number[19].
  • treewidth's less than is recorded as carving width[20].
  • treewidth's less than is recorded as branchwidth[21].
  • treewidth's less than is recorded as positive semidefinite zero forcing number[22].
  • treewidth's maintained by WikiProject is recorded as WikiProject Mathematics[23].
  • treewidth's Microsoft Academic ID is recorded as 132569581[24].
  • treewidth's in defining formula is recorded as \operatorname{tw}[25].
  • treewidth's in defining formula is recorded as \omega[26].
  • treewidth's in defining formula is recorded as H\supseteq G[27].

Body

Works and Contributions

Credited discoveries include Francesco Brioschi[3], a mathematician[28], 1824–1897[29], of Kingdom of Italy[30], awarded the Order of Saints Maurice and Lazarus[31], specialised in mathematics[32]; Rudolf Halin[4], a mathematician[33], 1934–2014[34], of Germany[35], specialised in graph theory[36]; Neil Robertson[5], a graph theorist[37], b. 1938[38], of United States[39], awarded the Fellow of the American Mathematical Society[40], specialised in graph theory[41]; and Paul Seymour[6], a mathematician[42], b. 1950[43], of United Kingdom[44], awarded the Ostrowski Prize[45], specialised in combinatorics[46].

Why It Matters

treewidth draws 94 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.[47] treewidth is known by 6 alternative names across languages and contexts.[48]

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] . 11011110.github.io. 11011110.github.io. Provenance: wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . Girth and treewidth. wikidata.org.
  13. [15] . On the chordality of a graph. wikidata.org.
  14. [16] . The cops and robber game on graphs with forbidden (induced) subgraphs. wikidata.org.
  15. [17] . Tree-width and circumference of graphs. wikidata.org.
  16. [18] . Defective and clustered colouring of graphs with given girth. wikidata.org.
  17. [19] . Defective and clustered colouring of graphs with given girth. wikidata.org.
  18. [20] . Comparing 17 graph parameters. wikidata.org.
  19. [21] . Graph minors. X. Obstructions to tree-decomposition. wikidata.org.
  20. [22] . Parameters related to tree-width, zero forcing, and maximum nullity of a graph. wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . 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
  3. [30] . Wikidata. wikidata.org. → on this site
  4. [31] . Wikidata. wikidata.org. → on this site
  5. [32] . Wikidata. wikidata.org. → on this site
  6. [33] . Wikidata. wikidata.org. → on this site
  7. [34] . Wikidata. wikidata.org. → on this site
  8. [35] . Wikidata. wikidata.org. → on this site
  9. [36] . Wikidata. wikidata.org. → on this site
  10. [37] . Wikidata. wikidata.org. → on this site
  11. [38] . Wikidata. wikidata.org. → on this site
  12. [39] . Wikidata. wikidata.org. → on this site
  13. [40] . Wikidata. wikidata.org. → on this site
  14. [41] . Wikidata. wikidata.org. → on this site
  15. [42] . Wikidata. wikidata.org. → on this site
  16. [43] . Wikidata. wikidata.org. → on this site
  17. [44] . Wikidata. wikidata.org. → on this site
  18. [45] . Wikidata. wikidata.org. → on this site
  19. [46] . 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. [47] . Wikidata sitelinks. wikidata.org.
  3. [48] . 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 May 3, 2026, from https://4ort.xyz/entity/treewidth
MLA “treewidth.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 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: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): treewidth — https://4ort.xyz/entity/treewidth (retrieved 2026-05-03)

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