Erdős–Gyárfás conjecture

unproven conjecture that every graph with minimum degree 3 contains a simple cycle whose length is a power of two
Place conjecture Q3686826
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Erdős–Gyárfás conjecture

Summary

Erdős–Gyárfás conjecture is a conjecture[1]. It draws 51 Wikipedia views per month (conjecture category, ranking #20 of 128).[2]

Key Facts

  • Erdős–Gyárfás conjecture's instance of is recorded as conjecture[3].
  • Paul Erdős is named after Erdős–Gyárfás conjecture[4].
  • András Gyárfás is named after Erdős–Gyárfás conjecture[5].
  • Erdős–Gyárfás conjecture's Freebase ID is recorded as /m/01xlpm[6].
  • Erdős–Gyárfás conjecture's Microsoft Academic ID is recorded as 78162934[7].

Body

Designation and Status

Erdős–Gyárfás conjecture's instance of is recorded as conjecture[3].

History and Context

Things named after include Paul Erdős[4], a mathematician[8], 1913–1996[9], of Hungary[10], awarded the Guggenheim Fellowship[11], specialised in probability theory[12] and András Gyárfás[5], a mathematician[13], b. 1945[14], of Hungary[15], specialised in combinatorics[16].

Why It Matters

Erdős–Gyárfás conjecture draws 51 Wikipedia views per month (conjecture category, ranking #20 of 128).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[17]

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] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.

Inline context (facts about related entities)

  1. [8] . Wikidata. wikidata.org. → on this site
  2. [9] . Wikidata. wikidata.org. → on this site
  3. [10] . Wikidata. wikidata.org. → on this site
  4. [11] . Wikidata. wikidata.org. → on this site
  5. [12] . Wikidata. wikidata.org. → on this site
  6. [13] . Wikidata. wikidata.org. → on this site
  7. [14] . Wikidata. wikidata.org. → on this site
  8. [15] . Wikidata. wikidata.org. → on this site
  9. [16] . 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. [17] . Wikidata sitelinks. 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). Erdős–Gyárfás conjecture. Retrieved May 3, 2026, from https://4ort.xyz/entity/erd-s-gy-rf-s-conjecture
MLA “Erdős–Gyárfás conjecture.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/erd-s-gy-rf-s-conjecture.
BibTeX @misc{4ortxyz_erd-s-gy-rf-s-conjecture_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Erdős–Gyárfás conjecture}}, year = {2026}, url = {https://4ort.xyz/entity/erd-s-gy-rf-s-conjecture}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Erdős–Gyárfás conjecture — https://4ort.xyz/entity/erd-s-gy-rf-s-conjecture (retrieved 2026-05-03)

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