Chvátal graph

a triangle-free 4-regular 4-chromatic graph with 12 vertices and 24 edges
Thing quartic_graph Q3029658
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Summary

Chvátal graph is a quartic graph[1]. It draws 95 Wikipedia views per month (quartic_graph category, ranking #1 of 1).[2]

Key Facts

  • Chvátal graph is credited with the discovery of Václav Chvátal[3].
  • Chvátal graph's instance of is recorded as quartic graph[4].
  • Chvátal graph's instance of is recorded as Hamiltonian graph[5].
  • Chvátal graph's instance of is recorded as triangle-free graph[6].
  • Chvátal graph's instance of is recorded as undirected graph[7].
  • Václav Chvátal is named after Chvátal graph[8].
  • Chvátal graph's Commons category is recorded as Chvatal graph[9].
  • Chvátal graph's studied by is recorded as graph theory[10].
  • Chvátal graph's has part is recorded as node[11].
  • Chvátal graph's has part is recorded as edge[12].
  • Chvátal graph's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Chvátal graph's graph radius is recorded as {'amount': '+2'}[14].
  • Chvátal graph's graph diameter is recorded as {'amount': '+2'}[15].
  • Chvátal graph's graph girth is recorded as {'amount': '+4'}[16].

Body

Definition and Type

Recorded instance of include quartic graph[4], Hamiltonian graph[5], triangle-free graph[6], and undirected graph[7].

Origins

Václav Chvátal is named after Chvátal graph[8].

Why It Matters

Chvátal graph draws 95 Wikipedia views per month (quartic_graph category, ranking #1 of 1).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[17] It is known by 10 alternative names across languages and contexts.[18]

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. [3] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . House of Graphs. wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] ↑ . Wikidata sitelinks. wikidata.org.
  3. [18] ↑ . 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). Chvátal graph. Retrieved October 14, 2026, from https://4ort.xyz/entity/chv-tal-graph
MLA “Chvátal graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/chv-tal-graph.
BibTeX @misc{4ortxyz_chv-tal-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Chvátal graph}}, year = {2026}, url = {https://4ort.xyz/entity/chv-tal-graph}, note = {Accessed: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Chvátal graph — https://4ort.xyz/entity/chv-tal-graph (retrieved 2026-10-14)

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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. 9d ago · Dexxor · 2026-10-07 view diff on Wikidata ↗
    Discoverer or inventor → Václav Chvátal
    Graph radius → {'amount': '+2'}
    Wikipedia languages → ['commons', 'en', 'es', 'fr', 'pms', 'pt', 'ru', 'uk']
    Named after → —
    + 9 other properties edited (see Wikidata diff for full list)
    "/* wbremoveclaims-remove:1| */ Instance of: Eulerian graph, follows from Chvátal graph being quartic"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.