Tutte–Coxeter graph

highly symmetric cubic graph with 30 vertices and 45 edges
Thing undirected_graph Q3115542
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Tutte–Coxeter graph

Summary

Tutte–Coxeter graph is an undirected graph[1]. It draws 11 Wikipedia views per month (undirected_graph category, ranking #6 of 10).[2]

Key Facts

  • Tutte–Coxeter graph's image is recorded as Tutte eight cage.svg[3].
  • Tutte–Coxeter graph's instance of is recorded as undirected graph[4].
  • Tutte–Coxeter graph's instance of is recorded as cubic graph[5].
  • Tutte–Coxeter graph's instance of is recorded as cage[6].
  • Tutte–Coxeter graph's instance of is recorded as distance-regular graph[7].
  • Tutte–Coxeter graph's instance of is recorded as distance-transitive graph[8].
  • Tutte–Coxeter graph's instance of is recorded as Moore graph[9].
  • Tutte–Coxeter graph's instance of is recorded as Levi graph[10].
  • Tutte–Coxeter graph's instance of is recorded as square-free graph[11].
  • Tutte–Coxeter graph's instance of is recorded as Hamiltonian graph[12].
  • Tutte–Coxeter graph's instance of is recorded as triconnected graph[13].
  • W. T. Tutte is named after Tutte–Coxeter graph[14].
  • Harold Scott MacDonald Coxeter is named after Tutte–Coxeter graph[15].
  • Tutte–Coxeter graph's Freebase ID is recorded as /m/04z9s9[16].
  • Tutte–Coxeter graph's different from is recorded as Coxeter graph[17].
  • Tutte–Coxeter graph's studied by is recorded as graph theory[18].
  • Tutte–Coxeter graph's has part is recorded as node[19].
  • Tutte–Coxeter graph's has part is recorded as edge[20].
  • Tutte–Coxeter graph's MathWorld ID is recorded as Tutte8-Cage[21].
  • Tutte–Coxeter graph's Wolfram Language entity code is recorded as Entity["Graph", "Tutte8Cage"][22].
  • Tutte–Coxeter graph's maintained by WikiProject is recorded as WikiProject Mathematics[23].
  • Tutte–Coxeter graph's Microsoft Academic ID is recorded as 2778245960[24].
  • Tutte–Coxeter graph's graph radius is recorded as {'amount': '+4'}[25].
  • Tutte–Coxeter graph's graph diameter is recorded as {'amount': '+4'}[26].
  • Tutte–Coxeter graph's graph girth is recorded as {'amount': '+8'}[27].

Why It Matters

Tutte–Coxeter graph draws 11 Wikipedia views per month (undirected_graph category, ranking #6 of 10).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[28] It is known by 4 alternative names across languages and contexts.[29]

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] . House of Graphs. wikidata.org.
  11. [13] . House of Graphs. 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] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . House of Graphs. wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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). Tutte–Coxeter graph. Retrieved May 3, 2026, from https://4ort.xyz/entity/tutte-coxeter-graph
MLA “Tutte–Coxeter graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/tutte-coxeter-graph.
BibTeX @misc{4ortxyz_tutte-coxeter-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Tutte–Coxeter graph}}, year = {2026}, url = {https://4ort.xyz/entity/tutte-coxeter-graph}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Tutte–Coxeter graph — https://4ort.xyz/entity/tutte-coxeter-graph (retrieved 2026-05-03)

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