Dyck graph

node-link graph, the only cubic symmetric graph on 32 vertices
Thing hamiltonian_graph Q3115480
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Dyck graph

Summary

Dyck graph is a Hamiltonian graph[1]. It draws 9 Wikipedia views per month (hamiltonian_graph category, ranking #5 of 8).[2]

Key Facts

  • Dyck graph's image is recorded as Dyck graph hamiltonian.svg[3].
  • Dyck graph's instance of is recorded as Hamiltonian graph[4].
  • Dyck graph's instance of is recorded as symmetric graph[5].
  • Dyck graph's instance of is recorded as cubic graph[6].
  • Dyck graph's instance of is recorded as bipartite graph[7].
  • Dyck graph's instance of is recorded as Cayley graph[8].
  • Dyck graph's instance of is recorded as toroidal graph[9].
  • Dyck graph's instance of is recorded as square-free graph[10].
  • Dyck graph's instance of is recorded as triconnected graph[11].
  • Walther von Dyck is named after Dyck graph[12].
  • Dyck graph's Commons category is recorded as Dyck graph[13].
  • Dyck graph's Freebase ID is recorded as /m/07kftw1[14].
  • Dyck graph's described at URL is recorded as https://aeb.win.tue.nl/graphs/Dyck.html[15].
  • Dyck graph's studied by is recorded as graph theory[16].
  • Dyck graph's has part is recorded as node[17].
  • Dyck graph's has part is recorded as edge[18].
  • Dyck graph's MathWorld ID is recorded as DyckGraph[19].
  • Dyck graph's Wolfram Language entity code is recorded as Entity["Graph", "DyckGraph"][20].
  • Dyck graph's maintained by WikiProject is recorded as WikiProject Mathematics[21].
  • Dyck graph's graph radius is recorded as {'amount': '+5'}[22].
  • Dyck graph's graph diameter is recorded as {'amount': '+5'}[23].
  • Dyck graph's graph girth is recorded as {'amount': '+6'}[24].
  • Dyck graph's The House of Graphs ID is recorded as 1053[25].

Why It Matters

Dyck graph draws 9 Wikipedia views per month (hamiltonian_graph category, ranking #5 of 8).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[26]

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] ↑ . House of Graphs. 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.
  2. [26] ↑ . 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). Dyck graph. Retrieved October 4, 2026, from https://4ort.xyz/entity/dyck-graph
MLA “Dyck graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Oct. 2026, https://4ort.xyz/entity/dyck-graph.
BibTeX @misc{4ortxyz_dyck-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Dyck graph}}, year = {2026}, url = {https://4ort.xyz/entity/dyck-graph}, note = {Accessed: 2026-10-04}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Dyck graph — https://4ort.xyz/entity/dyck-graph (retrieved 2026-10-04)

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