Holt graph

graph with 27 vertices and 54 edges, the smallest half-transitive graph
Thing half_transitive_graph Q3115479
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Holt graph

Summary

Holt graph is a half-transitive graph[1]. It draws 6 Wikipedia views per month (half_transitive_graph category, ranking #1 of 1).[2]

Key Facts

  • Holt graph's image is recorded as Holt graph.svg[3].
  • Holt graph's instance of is recorded as half-transitive graph[4].
  • Holt graph's instance of is recorded as Hamiltonian graph[5].
  • Holt graph's instance of is recorded as Cayley graph[6].
  • Holt graph's instance of is recorded as square-free graph[7].
  • Holt graph's instance of is recorded as Eulerian graph[8].
  • Holt graph's instance of is recorded as quartic graph[9].
  • Holt graph's instance of is recorded as triangle-free graph[10].
  • Holt graph's instance of is recorded as overfull graph[11].
  • Holt graph's Commons category is recorded as Holt graph[12].
  • Holt graph's Freebase ID is recorded as /m/07kbs93[13].
  • Holt graph's defining formula is recorded as (x^3-6x+2)^6(x+2)^4(x-1)^4(x-4)[14].
  • Holt graph's studied by is recorded as graph theory[15].
  • Holt graph's has part is recorded as node[16].
  • Holt graph's has part is recorded as edge[17].
  • Holt graph's MathWorld ID is recorded as DoyleGraph[18].
  • Holt graph's Wolfram Language entity code is recorded as Entity["Graph", "DoyleGraph"][19].
  • Holt graph's maintained by WikiProject is recorded as WikiProject Mathematics[20].
  • Holt graph's graph radius is recorded as {'amount': '+3'}[21].
  • Holt graph's graph diameter is recorded as {'amount': '+3'}[22].
  • Holt graph's graph girth is recorded as {'amount': '+5'}[23].
  • Holt graph's The House of Graphs ID is recorded as 1051[24].

Why It Matters

Holt graph draws 6 Wikipedia views per month (half_transitive_graph category, ranking #1 of 1).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[25] It is known by 3 alternative names across languages and contexts.[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] . House of Graphs. 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] . 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.
  3. [26] . 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). Holt graph. Retrieved May 3, 2026, from https://4ort.xyz/entity/holt-graph
MLA “Holt graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/holt-graph.
BibTeX @misc{4ortxyz_holt-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Holt graph}}, year = {2026}, url = {https://4ort.xyz/entity/holt-graph}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Holt graph — https://4ort.xyz/entity/holt-graph (retrieved 2026-05-03)

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