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cop number

number of cops needed to catch a robber on a graph
Thing graph_property Q48999572
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Summary

cop number is a graph property[1]. It draws 71 Wikipedia views per month (graph property category, ranking #29 of 43).[2]

Key Facts

  • Studied by: graph theory[3]
  • Exact match: https://www.findstat.org/StatisticsDatabase/St000544/[4]
  • Less than: domination number[5], genus[6], positive semidefinite zero forcing number[7], treewidth[8]
  • Maintained by WikiProject: WikiProject Mathematics[9]

Why It Matters

cop number is known by 5 alternative names across languages and contexts.[10]

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] ↑ . A note on cops and robbers, independence number, domination number and diameter. wikidata.org.
  4. [6] ↑ . link.springer.com. link.springer.com. Provenance: wikidata.org.
  5. [7] ↑ . Throttling for the game of Cops and Robbers on graphs. wikidata.org.
  6. [8] ↑ . The cops and robber game on graphs with forbidden (induced) subgraphs. wikidata.org.
  7. [9] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . 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). cop number. Retrieved October 14, 2026, from https://4ort.xyz/entity/cop-number
MLA “cop number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/cop-number.
BibTeX @misc{4ortxyz_cop-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{cop number}}, year = {2026}, url = {https://4ort.xyz/entity/cop-number}, note = {Accessed: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): cop number — https://4ort.xyz/entity/cop-number (retrieved 2026-10-14)

Canonical URL: https://4ort.xyz/entity/cop-number · 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. 7d ago · KrBot bot · 2026-10-08 view diff on Wikidata ↗
    Maintained by wikiproject → WikiProject Mathematics
    Studied by → graph theory
    Wikidata description → number of cops needed to catch a robber on a graph
    Exact match → https://www.findstat.org/StatisticsDatabase/St000544/
    + 7 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.