Steinhaus–Johnson–Trotter algorithm

an algorithm that generates all permutations of a finite set
Place combinatorial_algorithm Q4925248
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Steinhaus–Johnson–Trotter algorithm

Summary

Steinhaus–Johnson–Trotter algorithm is a combinatorial algorithm[1]. It draws 55 Wikipedia views per month (combinatorial_algorithm category, ranking #3 of 8).[2]

Key Facts

  • Steinhaus–Johnson–Trotter algorithm's image is recorded as Symmetric group 4; Cayley graph 1,2,6 (3D); Steinhaus–Johnson–Trotter.svg[3].
  • Steinhaus–Johnson–Trotter algorithm's instance of is recorded as combinatorial algorithm[4].
  • Steinhaus–Johnson–Trotter algorithm's instance of is recorded as mathematical concept[5].
  • Hale F. Trotter is named after Steinhaus–Johnson–Trotter algorithm[6].
  • Hugo Steinhaus is named after Steinhaus–Johnson–Trotter algorithm[7].
  • Selmer M. Johnson is named after Steinhaus–Johnson–Trotter algorithm[8].
  • Steinhaus–Johnson–Trotter algorithm's Freebase ID is recorded as /m/07nm5d[9].
  • Steinhaus–Johnson–Trotter algorithm's Dictionary of Algorithms and Data Structures ID is recorded as johnsonTrotter[10].
  • Steinhaus–Johnson–Trotter algorithm's Microsoft Academic ID is recorded as 176569495[11].

Body

Designation and Status

Recorded instance of include combinatorial algorithm[4] and mathematical concept[5].

History and Context

Things named after include Hale F. Trotter[6], a mathematician[12], 1931–2022[13], of Canada[14], specialised in mathematics[15]; Hugo Steinhaus[7], a mathematician[16], 1887–1972[17], of Cisleithania[18], awarded the Commander with Star of the Order of Polonia Restituta[19], specialised in probability theory[20]; and Selmer M. Johnson[8], a mathematician[21], 1916–1996[22], of United States[23].

Why It Matters

Steinhaus–Johnson–Trotter algorithm draws 55 Wikipedia views per month (combinatorial_algorithm category, ranking #3 of 8).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[24]

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.

Inline context (facts about related entities)

  1. [12] . Wikidata. wikidata.org. → on this site
  2. [13] . Wikidata. wikidata.org. → on this site
  3. [14] . Wikidata. wikidata.org. → on this site
  4. [15] . Wikidata. wikidata.org. → on this site
  5. [16] . Wikidata. wikidata.org. → on this site
  6. [17] . Wikidata. wikidata.org. → on this site
  7. [18] . Wikidata. wikidata.org. → on this site
  8. [19] . Wikidata. wikidata.org. → on this site
  9. [20] . Wikidata. wikidata.org. → on this site
  10. [21] . Wikidata. wikidata.org. → on this site
  11. [22] . Wikidata. wikidata.org. → on this site
  12. [23] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [24] . Wikidata sitelinks. 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). Steinhaus–Johnson–Trotter algorithm. Retrieved May 3, 2026, from https://4ort.xyz/entity/steinhaus-johnson-trotter-algorithm
MLA “Steinhaus–Johnson–Trotter algorithm.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/steinhaus-johnson-trotter-algorithm.
BibTeX @misc{4ortxyz_steinhaus-johnson-trotter-algorithm_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Steinhaus–Johnson–Trotter algorithm}}, year = {2026}, url = {https://4ort.xyz/entity/steinhaus-johnson-trotter-algorithm}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Steinhaus–Johnson–Trotter algorithm — https://4ort.xyz/entity/steinhaus-johnson-trotter-algorithm (retrieved 2026-05-03)

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