Biggs–Smith graph

cubic graph with 102 vertices and 153 edges
Thing hamiltonian_graph Q3034779
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Biggs–Smith graph

Summary

Biggs–Smith graph is a Hamiltonian graph[1]. It draws 8 Wikipedia views per month (hamiltonian_graph category, ranking #6 of 8).[2]

Key Facts

  • Biggs–Smith graph's image is recorded as Biggs-Smith graph - circle-based drawing.jpg[3].
  • Biggs–Smith graph's instance of is recorded as Hamiltonian graph[4].
  • Biggs–Smith graph's instance of is recorded as cubic graph[5].
  • Biggs–Smith graph's instance of is recorded as symmetric graph[6].
  • Biggs–Smith graph's instance of is recorded as distance-regular graph[7].
  • Biggs–Smith graph's instance of is recorded as square-free graph[8].
  • Biggs–Smith graph's instance of is recorded as triangle-free graph[9].
  • Biggs–Smith graph's instance of is recorded as triconnected graph[10].
  • Norman L. Biggs is named after Biggs–Smith graph[11].
  • Biggs–Smith graph's Freebase ID is recorded as /m/07k56zm[12].
  • Biggs–Smith graph's studied by is recorded as graph theory[13].
  • Biggs–Smith graph's has part is recorded as node[14].
  • Biggs–Smith graph's has part is recorded as edge[15].
  • Biggs–Smith graph's MathWorld ID is recorded as Biggs-SmithGraph[16].
  • Biggs–Smith graph's Wolfram Language entity code is recorded as Entity["Graph", "BiggsSmithGraph"][17].
  • Biggs–Smith graph's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • Biggs–Smith graph's Microsoft Academic ID is recorded as 2781329418[19].
  • Biggs–Smith graph's graph radius is recorded as {'amount': '+7'}[20].
  • Biggs–Smith graph's graph diameter is recorded as {'amount': '+7'}[21].
  • Biggs–Smith graph's graph girth is recorded as {'amount': '+9'}[22].
  • Biggs–Smith graph's The House of Graphs ID is recorded as 956[23].

Why It Matters

Biggs–Smith graph draws 8 Wikipedia views per month (hamiltonian_graph category, ranking #6 of 8).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[24]

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] . Freebase Data Dumps. 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] . House of Graphs. wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [24] . 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). Biggs–Smith graph. Retrieved May 3, 2026, from https://4ort.xyz/entity/biggs-smith-graph
MLA “Biggs–Smith graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/biggs-smith-graph.
BibTeX @misc{4ortxyz_biggs-smith-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Biggs–Smith graph}}, year = {2026}, url = {https://4ort.xyz/entity/biggs-smith-graph}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Biggs–Smith graph — https://4ort.xyz/entity/biggs-smith-graph (retrieved 2026-05-03)

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