Perkel graph

6-regular graph with 57 vertices and 171 edges
Thing hamiltonian_graph Q3115520
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Perkel graph

Summary

Perkel graph is a Hamiltonian graph[1]. It draws 1 Wikipedia views per month (hamiltonian_graph category, ranking #10 of 8).[2]

Key Facts

  • Perkel graph's image is recorded as Perkel graph embeddings.svg[3].
  • Perkel graph's instance of is recorded as Hamiltonian graph[4].
  • Perkel graph's instance of is recorded as regular graph[5].
  • Perkel graph's instance of is recorded as distance-transitive graph[6].
  • Perkel graph's instance of is recorded as distance-regular graph[7].
  • Perkel graph's instance of is recorded as square-free graph[8].
  • Perkel graph's instance of is recorded as Eulerian graph[9].
  • Perkel graph's instance of is recorded as triangle-free graph[10].
  • Perkel graph's instance of is recorded as overfull graph[11].
  • Perkel graph's depicts is recorded as 57-cell[12].
  • Perkel graph's Commons category is recorded as Perkel graph[13].
  • Perkel graph's Freebase ID is recorded as /m/0pcggyh[14].
  • Perkel graph's described at URL is recorded as https://aeb.win.tue.nl/graphs/Perkel.html[15].
  • Perkel graph's studied by is recorded as graph theory[16].
  • Perkel graph's has part is recorded as node[17].
  • Perkel graph's has part is recorded as edge[18].
  • Perkel graph's MathWorld ID is recorded as PerkelGraph[19].
  • Perkel graph's Wolfram Language entity code is recorded as Entity["Graph", "PerkelGraph"][20].
  • Perkel graph's maintained by WikiProject is recorded as WikiProject Mathematics[21].
  • Perkel graph's graph radius is recorded as {'unit': '1', 'amount': '+3'}[22].
  • Perkel graph's graph diameter is recorded as {'unit': '1', 'amount': '+3'}[23].
  • Perkel graph's graph girth is recorded as {'unit': '1', 'amount': '+5'}[24].
  • Perkel graph's The House of Graphs ID is recorded as 1266[25].

Why It Matters

Perkel graph draws 1 Wikipedia views per month (hamiltonian_graph category, ranking #10 of 8).[2]

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] . House of Graphs. wikidata.org.
  8. [10] . House of Graphs. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . 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] . wikidata.org.
  20. [22] . House of Graphs. wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

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

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