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cuboctahedral graph

graph with 12 vertices and 24 edges
Thing archimedean_graph Q3115462
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Summary

cuboctahedral graph is an Archimedean graph[1]. It is known by 5 alternative names across languages and contexts.[2]

Key Facts

  • Instance of: alternating group graph[3], symmetric graph[4], regular graph[5], perfect graph[6], quartic graph[7], claw-free graph[8]
  • Facet of: cuboctahedron[9]
  • Dual to: cubical graph[10]
  • Studied by: graph theory[11]
  • Has part(s) of the class: node[12], edge[13]
  • Maintained by WikiProject: WikiProject Mathematics[14]
  • Graph radius: 3[15]
  • Graph diameter: 3[16]
  • Graph girth: 3[17]

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] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . House of Graphs. wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . 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). cuboctahedral graph. Retrieved October 12, 2026, from https://4ort.xyz/entity/cuboctahedral-graph
MLA “cuboctahedral graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 12 Oct. 2026, https://4ort.xyz/entity/cuboctahedral-graph.
BibTeX @misc{4ortxyz_cuboctahedral-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{cuboctahedral graph}}, year = {2026}, url = {https://4ort.xyz/entity/cuboctahedral-graph}, note = {Accessed: 2026-10-12}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): cuboctahedral graph — https://4ort.xyz/entity/cuboctahedral-graph (retrieved 2026-10-12)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 6d ago · Dexxor · 2026-10-07 view diff on Wikidata ↗
    Graph radius → {'amount': '+3'}
    The house of graphs id → 1024
    Imported from → —
    Wikipedia languages → ['fr', 'sl']
    + 15 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/58239|batch #58239]]: graph being Eulerian is implied by graph being quartic"
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