Balaban 10-cage

cubic graph with 70 vertices and 105 edges
Thing cage Q675752
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Balaban 10-cage

Summary

Balaban 10-cage is a cage[1]. It draws 4 Wikipedia views per month (cage category, ranking #2 of 3).[2]

Key Facts

  • Balaban 10-cage is credited with the discovery of Alexandru Balaban[3].
  • Balaban 10-cage's image is recorded as Balaban 10-cage.svg[4].
  • Balaban 10-cage's instance of is recorded as cage[5].
  • Balaban 10-cage's instance of is recorded as triconnected graph[6].
  • Balaban 10-cage's instance of is recorded as k-edge-connected graph[7].
  • Balaban 10-cage's instance of is recorded as cubic graph[8].
  • Balaban 10-cage's instance of is recorded as Hamiltonian graph[9].
  • Balaban 10-cage's instance of is recorded as square-free graph[10].
  • Balaban 10-cage's instance of is recorded as bipartite graph[11].
  • Alexandru Balaban is named after Balaban 10-cage[12].
  • Balaban 10-cage's Commons category is recorded as Balaban 10-cage[13].
  • Balaban 10-cage's time of discovery or invention is recorded as +1972-01-01T00:00:00Z[14].
  • Balaban 10-cage's Freebase ID is recorded as /m/06zn9cc[15].
  • Balaban 10-cage's studied by is recorded as graph theory[16].
  • Balaban 10-cage's has part is recorded as node[17].
  • Balaban 10-cage's has part is recorded as edge[18].
  • Balaban 10-cage's MathWorld ID is recorded as Balaban10-Cage[19].
  • Balaban 10-cage's Wolfram Language entity code is recorded as Entity["Graph", "Balaban10Cage"][20].
  • Balaban 10-cage's maintained by WikiProject is recorded as WikiProject Mathematics[21].
  • Balaban 10-cage's Microsoft Academic ID is recorded as 2779760458[22].
  • Balaban 10-cage's graph radius is recorded as {'amount': '+6'}[23].
  • Balaban 10-cage's graph diameter is recorded as {'amount': '+6'}[24].
  • Balaban 10-cage's graph girth is recorded as {'amount': '+10'}[25].
  • Balaban 10-cage's The House of Graphs ID is recorded as 949[26].

Body

Works and Contributions

Balaban 10-cage is credited with the discovery of Alexandru Balaban[3].

Why It Matters

Balaban 10-cage draws 4 Wikipedia views per month (cage category, ranking #2 of 3).[2]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [6] . wikidata.org.
  4. [7] . wikidata.org.
  5. [8] . wikidata.org.
  6. [9] . wikidata.org.
  7. [10] . wikidata.org.
  8. [11] . House of Graphs. wikidata.org.
  9. [3] . 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] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.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). Balaban 10-cage. Retrieved May 3, 2026, from https://4ort.xyz/entity/balaban-10-cage
MLA “Balaban 10-cage.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/balaban-10-cage.
BibTeX @misc{4ortxyz_balaban-10-cage_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Balaban 10-cage}}, year = {2026}, url = {https://4ort.xyz/entity/balaban-10-cage}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Balaban 10-cage — https://4ort.xyz/entity/balaban-10-cage (retrieved 2026-05-03)

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