trivially perfect graph

graph where every connected induced subgraph has a universal vertex
Thing hereditary_graph_class Q7844666
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trivially perfect graph

Summary

trivially perfect graph is a hereditary graph class[1]. It draws 11 Wikipedia views per month (hereditary_graph_class category, ranking #5 of 7).[2]

Key Facts

  • trivially perfect graph is credited with the discovery of Elliot Samuel Wolk[3].
  • trivially perfect graph's image is recorded as Trivially perfect graph.svg[4].
  • trivially perfect graph's instance of is recorded as hereditary graph class[5].
  • trivially perfect graph's subclass of is recorded as cograph[6].
  • trivially perfect graph's subclass of is recorded as permutation graph[7].
  • trivially perfect graph's subclass of is recorded as Ptolemaic graph[8].
  • trivially perfect graph's subclass of is recorded as interval graph[9].
  • trivially perfect graph's opposite of is recorded as co-trivially perfect graph[10].
  • trivially perfect graph's Freebase ID is recorded as /m/047nvd0[11].
  • trivially perfect graph's studied by is recorded as graph theory[12].
  • trivially perfect graph's does not have part is recorded as square graph[13].
  • trivially perfect graph's does not have part is recorded as path graph P4[14].
  • trivially perfect graph's named by is recorded as Martin Charles Golumbic[15].
  • trivially perfect graph's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • trivially perfect graph's Microsoft Academic ID is recorded as 170903109[17].
  • trivially perfect graph's OpenAlex ID is recorded as C170903109[18].
  • trivially perfect graph's graphclasses.org ID is recorded as gc_1072[19].
  • trivially perfect graph's graphclasses.org ID is recorded as gc_346[20].
  • trivially perfect graph's graphclasses.org ID is recorded as gc_347[21].
  • trivially perfect graph's graphclasses.org ID is recorded as gc_327[22].
  • trivially perfect graph's graphclasses.org ID is recorded as gc_343[23].
  • trivially perfect graph's graphclasses.org ID is recorded as gc_344[24].
  • trivially perfect graph's graphclasses.org ID is recorded as gc_345[25].
  • trivially perfect graph's graphclasses.org ID is recorded as gc_781[26].

Body

Works and Contributions

trivially perfect graph is credited with the discovery of Elliot Samuel Wolk[3].

Why It Matters

trivially perfect graph draws 11 Wikipedia views per month (hereditary_graph_class category, ranking #5 of 7).[2]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . Trivially perfect graphs. wikidata.org.
  3. [3] . 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] . Trivially perfect graphs. wikidata.org.
  12. [14] . Trivially perfect graphs. 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.
  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). trivially perfect graph. Retrieved May 3, 2026, from https://4ort.xyz/entity/trivially-perfect-graph
MLA “trivially perfect graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/trivially-perfect-graph.
BibTeX @misc{4ortxyz_trivially-perfect-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{trivially perfect graph}}, year = {2026}, url = {https://4ort.xyz/entity/trivially-perfect-graph}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): trivially perfect graph — https://4ort.xyz/entity/trivially-perfect-graph (retrieved 2026-05-03)

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