AVL tree

one kind of self-balancing binary search tree
Place algorithm Q300159
AVL tree
User:Mikm · Public Domain · Wikimedia
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AVL tree

Summary

AVL tree is an algorithm[1]. It ranks in the top 4% of algorithm entities by monthly Wikipedia readership (746 views/month).[2]

Key Facts

  • AVL tree is credited with the discovery of Georgy Adelson-Velsky[3].
  • AVL tree is credited with the discovery of Evgenii Landis[4].
  • AVL tree's image is recorded as AVLtreef.svg[5].
  • AVL tree's instance of is recorded as algorithm[6].
  • Georgy Adelson-Velsky is named after AVL tree[7].
  • Evgenii Landis is named after AVL tree[8].
  • AVL tree's subclass of is recorded as height-balanced binary search tree[9].
  • AVL tree's subclass of is recorded as self-balancing binary search tree[10].
  • AVL tree's Commons category is recorded as AVL-trees[11].
  • AVL tree's time of discovery or invention is recorded as +1962-00-00T00:00:00Z[12].
  • AVL tree's Freebase ID is recorded as /m/0wyp[13].
  • AVL tree's Stack Exchange tag is recorded as https://stackoverflow.com/tags/avl-tree[14].
  • AVL tree's native label is recorded as {'lang': 'en', 'text': 'AVL tree'}[15].
  • AVL tree's different from is recorded as red–black tree[16].
  • AVL tree's worst-case time complexity is recorded as O(\log n) (insertion)[17].
  • AVL tree's worst-case time complexity is recorded as O(\log n) (suppression)[18].
  • AVL tree's worst-case time complexity is recorded as O(\log n) (recherche)[19].
  • AVL tree's average time complexity is recorded as O(\log n)[20].
  • AVL tree's average time complexity is recorded as O(\log n)[21].
  • AVL tree's average time complexity is recorded as O(\log n)[22].
  • AVL tree's worst-case space complexity is recorded as O(n)[23].
  • AVL tree's average space complexity is recorded as O(n)[24].
  • AVL tree's Rosetta Code page ID is recorded as AVL_tree[25].
  • AVL tree's Dictionary of Algorithms and Data Structures ID is recorded as avltree[26].
  • AVL tree's Microsoft Academic ID is recorded as 109771385[27].

Body

Designation and Status

AVL tree's instance of is recorded as algorithm[6].

History and Context

Things named after include Georgy Adelson-Velsky[7], a mathematician[28], 1922–2014[29], of Soviet Union[30], specialised in mathematics[31] and Evgenii Landis[8], a mathematician[32], 1921–1997[33], of Soviet Union[34], awarded the Order of the Red Star[35], specialised in differential calculus[36].

Why It Matters

AVL tree ranks in the top 4% of algorithm entities by monthly Wikipedia readership (746 views/month).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[37] It is known by 31 alternative names across languages and contexts.[38]

References

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

Direct Wikidata claims

  1. [5] . wikidata.org.
  2. [6] . wikidata.org.
  3. [3] . wikidata.org.
  4. [4] . wikidata.org.
  5. [7] . Dictionary of Algorithms and Data Structures. Retrieved . xlinux.nist.gov. Provenance: wikidata.org.
  6. [8] . Dictionary of Algorithms and Data Structures. Retrieved . xlinux.nist.gov. Provenance: wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . Freebase Data Dumps. wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . web.archive.org. web.archive.org. Provenance: wikidata.org.
  16. [18] . web.archive.org. web.archive.org. Provenance: wikidata.org.
  17. [19] . web.archive.org. web.archive.org. Provenance: wikidata.org.
  18. [20] . web.archive.org. web.archive.org. Provenance: wikidata.org.
  19. [21] . web.archive.org. web.archive.org. Provenance: wikidata.org.
  20. [22] . web.archive.org. web.archive.org. Provenance: wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Inline context (facts about related entities)

  1. [28] . Wikidata. wikidata.org. → on this site
  2. [29] . Wikidata. wikidata.org. → on this site
  3. [30] . Wikidata. wikidata.org. → on this site
  4. [31] . Wikidata. wikidata.org. → on this site
  5. [32] . Wikidata. wikidata.org. → on this site
  6. [33] . Wikidata. wikidata.org. → on this site
  7. [34] . Wikidata. wikidata.org. → on this site
  8. [35] . Wikidata. wikidata.org. → on this site
  9. [36] . 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. [37] . Wikidata sitelinks. wikidata.org.
  3. [38] . 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). AVL tree. Retrieved May 3, 2026, from https://4ort.xyz/entity/avl-tree
MLA “AVL tree.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/avl-tree.
BibTeX @misc{4ortxyz_avl-tree_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{AVL tree}}, year = {2026}, url = {https://4ort.xyz/entity/avl-tree}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): AVL tree — https://4ort.xyz/entity/avl-tree (retrieved 2026-05-03)

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