Hoffman–Singleton graph

node-link graph with 50 vertices and 175 edges, the smallest possible 7-regular graph of girth 5
Thing hamiltonian_graph Q3090387
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Hoffman–Singleton graph

Summary

Hoffman–Singleton graph is a Hamiltonian graph[1]. It draws 20 Wikipedia views per month (hamiltonian_graph category, ranking #3 of 8).[2]

Key Facts

  • Hoffman–Singleton graph's image is recorded as Hoffman singleton graph circle2.gif[3].
  • Hoffman–Singleton graph's instance of is recorded as Hamiltonian graph[4].
  • Hoffman–Singleton graph's instance of is recorded as Hamilton-connected graph[5].
  • Hoffman–Singleton graph's instance of is recorded as strongly regular graph[6].
  • Hoffman–Singleton graph's instance of is recorded as cage[7].
  • Hoffman–Singleton graph's instance of is recorded as Moore graph[8].
  • Hoffman–Singleton graph's instance of is recorded as integral graph[9].
  • Hoffman–Singleton graph's instance of is recorded as geodetic graph[10].
  • Hoffman–Singleton graph's instance of is recorded as square-free graph[11].
  • Hoffman–Singleton graph's instance of is recorded as triangle-free graph[12].
  • Alan Hoffman is named after Hoffman–Singleton graph[13].
  • Hoffman–Singleton graph's Commons category is recorded as Hoffman-Singleton graph[14].
  • Hoffman–Singleton graph's Freebase ID is recorded as /m/0bjscr[15].
  • Hoffman–Singleton graph's described at URL is recorded as https://aeb.win.tue.nl/graphs/Hoffman-Singleton.html[16].
  • Hoffman–Singleton graph's studied by is recorded as graph theory[17].
  • Hoffman–Singleton graph's has part is recorded as node[18].
  • Hoffman–Singleton graph's has part is recorded as edge[19].
  • Hoffman–Singleton graph's MathWorld ID is recorded as Hoffman-SingletonGraph[20].
  • Hoffman–Singleton graph's Wolfram Language entity code is recorded as Entity["Graph", "HoffmanSingletonGraph"][21].
  • Hoffman–Singleton graph's maintained by WikiProject is recorded as WikiProject Mathematics[22].
  • Hoffman–Singleton graph's Microsoft Academic ID is recorded as 2779657114[23].
  • Hoffman–Singleton graph's graph radius is recorded as {'amount': '+2'}[24].
  • Hoffman–Singleton graph's graph diameter is recorded as {'amount': '+2'}[25].
  • Hoffman–Singleton graph's graph girth is recorded as {'amount': '+5'}[26].
  • Hoffman–Singleton graph's The House of Graphs ID is recorded as 1173[27].

Why It Matters

Hoffman–Singleton graph draws 20 Wikipedia views per month (hamiltonian_graph category, ranking #3 of 8).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[28] It is known by 3 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] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . Freebase Data Dumps. 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] . House of Graphs. wikidata.org.
  23. [25] . 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). Hoffman–Singleton graph. Retrieved May 3, 2026, from https://4ort.xyz/entity/hoffman-singleton-graph
MLA “Hoffman–Singleton graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/hoffman-singleton-graph.
BibTeX @misc{4ortxyz_hoffman-singleton-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hoffman–Singleton graph}}, year = {2026}, url = {https://4ort.xyz/entity/hoffman-singleton-graph}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hoffman–Singleton graph — https://4ort.xyz/entity/hoffman-singleton-graph (retrieved 2026-05-03)

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