triangle-free graph

undirected graph in which no three vertices form a triangle of edges
Thing class_of_the_graphs_without_certain_subgraphs Q7840044
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triangle-free graph

Summary

triangle-free graph is a class of the graphs without certain subgraphs[1]. It draws 21 Wikipedia views per month (class_of_the_graphs_without_certain_subgraphs category, ranking #2 of 3).[2]

Key Facts

  • triangle-free graph's image is recorded as Biclique K 5 5.svg[3].
  • triangle-free graph's image is recorded as Groetzsch graph 4COL.svg[4].
  • triangle-free graph's instance of is recorded as class of the graphs without certain subgraphs[5].
  • triangle is named after triangle-free graph[6].
  • triangle-free graph's subclass of is recorded as diamond-free graph[7].
  • triangle-free graph's subclass of is recorded as paw-free graph[8].
  • triangle-free graph's subclass of is recorded as co-claw-free graph[9].
  • triangle-free graph's Freebase ID is recorded as /m/0268c5j[10].
  • triangle-free graph's has characteristic is recorded as clique number[11].
  • triangle-free graph's studied by is recorded as graph theory[12].
  • triangle-free graph's MathWorld ID is recorded as Triangle-FreeGraph[13].
  • triangle-free graph's does not have part is recorded as triangle graph[14].
  • triangle-free graph's Wolfram Language entity code is recorded as Entity["GraphClass", "TriangleFree"][15].
  • triangle-free graph's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • triangle-free graph's Microsoft Academic ID is recorded as 114727528[17].
  • triangle-free graph's OpenAlex ID is recorded as C114727528[18].
  • triangle-free graph's graphclasses.org ID is recorded as gc_371[19].

Why It Matters

triangle-free graph draws 21 Wikipedia views per month (class_of_the_graphs_without_certain_subgraphs category, ranking #2 of 3).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[20] It is known by 4 alternative names across languages and contexts.[21]

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] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  17. [19] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). triangle-free graph. Retrieved May 3, 2026, from https://4ort.xyz/entity/triangle-free-graph
MLA “triangle-free graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/triangle-free-graph.
BibTeX @misc{4ortxyz_triangle-free-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{triangle-free graph}}, year = {2026}, url = {https://4ort.xyz/entity/triangle-free-graph}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): triangle-free graph — https://4ort.xyz/entity/triangle-free-graph (retrieved 2026-05-03)

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