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tree-depth

numerical invariant of graphs
Thing graph_property Q7837500
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tree-depth

Summary

tree-depth is a graph property[1]. tree-depth draws 341 Wikipedia views per month (graph_property category, ranking #22 of 43).[2]

Key Facts

  • tree-depth's instance of is recorded as graph property[3].
  • tree-depth's exact match is recorded as https://www.findstat.org/StatisticsDatabase/St001963/[4].
  • tree-depth's greater than is recorded as pathwidth[5].
  • tree-depth's greater than is recorded as proper pathwidth[6].
  • tree-depth's greater than is recorded as star chromatic number[7].
  • tree-depth's greater than is recorded as Hadwiger number[8].
  • tree-depth's less than is recorded as detour order[9].
  • tree-depth's less than is recorded as vertex cover number[10].
  • tree-depth's maintained by WikiProject is recorded as WikiProject Mathematics[11].

Body

Definition and Type

tree-depth's instance of is recorded as graph property[3].

Why It Matters

tree-depth draws 341 Wikipedia views per month (graph_property category, ranking #22 of 43).[2] tree-depth is known by 14 alternative names across languages and contexts.[12]

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] ↑ . Approximating Treewidth, Pathwidth, Frontsize, and Shortest Elimination Tree. wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . Sparsity. wikidata.org.
  8. [10] ↑ . Exploring the gap between treedepth and vertex cover through vertex integrity. 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 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). tree-depth. Retrieved October 9, 2026, from https://4ort.xyz/entity/tree-depth
MLA “tree-depth.” 4ort.xyz Knowledge Graph, 4ort.xyz, 9 Oct. 2026, https://4ort.xyz/entity/tree-depth.
BibTeX @misc{4ortxyz_tree-depth_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{tree-depth}}, year = {2026}, url = {https://4ort.xyz/entity/tree-depth}, note = {Accessed: 2026-10-09}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): tree-depth — https://4ort.xyz/entity/tree-depth (retrieved 2026-10-09)

Canonical URL: https://4ort.xyz/entity/tree-depth · 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. 1d ago · KrBot bot · 2026-10-08 view diff on Wikidata ↗
    Maintained by wikiproject → WikiProject Mathematics
    Wikidata description → numerical invariant of graphs
    Greater than → pathwidth, proper pathwidth, star chromatic number +1
    In defining formula → \operatorname{td}, |G|, G_i +4
    + 13 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-update:1| */ [[Property:P1013]]: [[Q11668618]], разрешение перенаправления / resolving redirect [[Q55935272]] → [[Q11668618]] ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q559352"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.