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cyclomatic number

the minimum number of edges to remove from a graph to eliminate all its cycles
Thing graph_property Q5121616
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Summary

cyclomatic number is a graph property[1]. It draws 160 Wikipedia views per month (graph property category, ranking #16 of 43).[2]

Key Facts

  • Discoverer or inventor: Gustav Kirchhoff[3]
  • Different from: nullity[4], cycle rank[5]
  • Studied by: graph theory[6], category theory[7]
  • Exact match: https://www.findstat.org/StatisticsDatabase/St001311/[8]
  • Greater than: genus[9]
  • Less than: number of edges[10]
  • Maintained by WikiProject: WikiProject Mathematics[11]

Why It Matters

cyclomatic number has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[12] It is known by 22 alternative names across languages and contexts.[13]

Related Entities

graph theory Gustav Kirchhoff

References

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

Direct Wikidata claims

  1. [3] ↑ . Retrieved . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . manyu.pro. manyu.pro. Provenance: wikidata.org.
  8. [10] ↑ . 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 sitelinks. wikidata.org.
  3. [13] ↑ . 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). cyclomatic number. Retrieved October 14, 2026, from https://4ort.xyz/entity/cyclomatic-number
MLA “cyclomatic number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/cyclomatic-number.
BibTeX @misc{4ortxyz_cyclomatic-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{cyclomatic number}}, year = {2026}, url = {https://4ort.xyz/entity/cyclomatic-number}, note = {Accessed: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): cyclomatic number — https://4ort.xyz/entity/cyclomatic-number (retrieved 2026-10-14)

Canonical URL: https://4ort.xyz/entity/cyclomatic-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 ↗
    Different from → nullity, cycle rank
    Instance of → graph property
    Wikipedia languages → ['cs', 'de', 'en', 'eo', 'hu', 'pl', 'ru', 'sk', 'sr', 'uk']
    Maintained by wikiproject → WikiProject Mathematics
    + 6 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.