Frucht graph

asymmetric cubic planar graph with 12 vertices and 18 edges
Thing halin_graph Q2061755
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Frucht graph

Summary

Frucht graph is a Halin graph[1]. It draws 8 Wikipedia views per month (halin_graph category, ranking #1 of 1).[2]

Key Facts

  • Frucht graph's image is recorded as Frucht planar Lombardi.svg[3].
  • Frucht graph's instance of is recorded as Halin graph[4].
  • Frucht graph's instance of is recorded as cubic graph[5].
  • Frucht graph's instance of is recorded as Hamiltonian graph[6].
  • Frucht graph's instance of is recorded as Hamilton-connected graph[7].
  • Frucht graph's instance of is recorded as planar graph[8].
  • Frucht graph's instance of is recorded as polyhedral graph[9].
  • Frucht graph's instance of is recorded as asymmetric graph[10].
  • Robert Frucht is named after Frucht graph[11].
  • Frucht graph's Commons category is recorded as Frucht graph[12].
  • Frucht graph's Freebase ID is recorded as /m/06_x5gf[13].
  • Frucht graph's studied by is recorded as graph theory[14].
  • Frucht graph's has part is recorded as node[15].
  • Frucht graph's has part is recorded as edge[16].
  • Frucht graph's MathWorld ID is recorded as FruchtGraph[17].
  • Frucht graph's Wolfram Language entity code is recorded as Entity["Graph", "FruchtGraph"][18].
  • Frucht graph's maintained by WikiProject is recorded as WikiProject Mathematics[19].
  • Frucht graph's Microsoft Academic ID is recorded as 2776899594[20].
  • Frucht graph's graph radius is recorded as {'amount': '+3'}[21].
  • Frucht graph's graph diameter is recorded as {'amount': '+4'}[22].
  • Frucht graph's graph girth is recorded as {'amount': '+3'}[23].
  • Frucht graph's The House of Graphs ID is recorded as 1090[24].

Why It Matters

Frucht graph draws 8 Wikipedia views per month (halin_graph category, ranking #1 of 1).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[25]

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] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . Freebase Data Dumps. 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] . wikidata.org.
  19. [21] . House of Graphs. wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [25] . 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). Frucht graph. Retrieved May 3, 2026, from https://4ort.xyz/entity/frucht-graph
MLA “Frucht graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/frucht-graph.
BibTeX @misc{4ortxyz_frucht-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Frucht graph}}, year = {2026}, url = {https://4ort.xyz/entity/frucht-graph}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Frucht graph — https://4ort.xyz/entity/frucht-graph (retrieved 2026-05-03)

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