pathwidth

term in graph theory
Thing graph_property Q7144893
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pathwidth

Summary

pathwidth is a graph property[1]. pathwidth draws 16 Wikipedia views per month (graph_property category, ranking #18 of 43).[2]

Key Facts

  • pathwidth's instance of is recorded as graph property[3].
  • pathwidth's Freebase ID is recorded as /m/0d48b5[4].
  • pathwidth's codomain is recorded as set of non-negative integers[5].
  • pathwidth's defining formula is recorded as \operatorname{pw}(G)=\min{\omega(H)-1\mid H\supseteq G, H\text{ interval}}[6].
  • pathwidth's MathWorld ID is recorded as Pathwidth[7].
  • pathwidth's greater than is recorded as treewidth[8].
  • pathwidth's less than is recorded as cutwidth[9].
  • pathwidth's less than is recorded as tree-depth[10].
  • pathwidth's less than is recorded as bandwidth[11].
  • pathwidth's less than is recorded as vertex cover number[12].
  • pathwidth's less than is recorded as proper pathwidth[13].
  • pathwidth's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • pathwidth's Microsoft Academic ID is recorded as 43517604[15].
  • pathwidth's in defining formula is recorded as \operatorname{pw}[16].
  • pathwidth's in defining formula is recorded as \omega[17].
  • pathwidth's in defining formula is recorded as H\supseteq G[18].
  • pathwidth's in defining formula is recorded as H[19].
  • pathwidth's OpenAlex ID is recorded as C43517604[20].
  • pathwidth's graphclasses.org ID is recorded as par_9[21].

Why It Matters

pathwidth draws 16 Wikipedia views per month (graph_property category, ranking #18 of 43).[2] pathwidth has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[22] pathwidth is known by 10 alternative names across languages and contexts.[23]

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] . 11011110.github.io. 11011110.github.io. Provenance: wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Defective and clustered colouring of graphs with given girth. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . Defective and clustered colouring of graphs with given girth. wikidata.org.
  9. [11] . A partial k-arboretum of graphs with bounded treewidth. wikidata.org.
  10. [12] . irif.fr. irif.fr. Provenance: wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  19. [21] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] . Wikidata sitelinks. wikidata.org.
  3. [23] . 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). pathwidth. Retrieved May 3, 2026, from https://4ort.xyz/entity/pathwidth
MLA “pathwidth.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/pathwidth.
BibTeX @misc{4ortxyz_pathwidth_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{pathwidth}}, year = {2026}, url = {https://4ort.xyz/entity/pathwidth}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): pathwidth — https://4ort.xyz/entity/pathwidth (retrieved 2026-05-03)

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