Prim's algorithm

algorithm for finding the minimum spanning tree for weighted undirected graphs
Place algorithm Q470813
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Prim's algorithm

Summary

Prim's algorithm is an algorithm[1]. It ranks in the top 7% of algorithm entities by monthly Wikipedia readership (367 views/month).[2]

Key Facts

  • Prim's algorithm is credited with the discovery of Vojtěch Jarník[3].
  • Prim's algorithm is credited with the discovery of Robert C. Prim[4].
  • Prim's algorithm is credited with the discovery of Edsger W. Dijkstra[5].
  • Prim's algorithm's instance of is recorded as algorithm[6].
  • Prim's algorithm's instance of is recorded as graph algorithm[7].
  • Prim's algorithm's instance of is recorded as greedy algorithm[8].
  • Robert C. Prim is named after Prim's algorithm[9].
  • Vojtěch Jarník is named after Prim's algorithm[10].
  • Prim's algorithm's has use is recorded as minimum spanning tree[11].
  • Prim's algorithm's has use is recorded as decision tree[12].
  • Prim's algorithm's Commons category is recorded as Prim's algorithm[13].
  • Prim's algorithm's Freebase ID is recorded as /m/0f2jn[14].
  • Prim's algorithm's worst-case time complexity is recorded as O(|E| + |V| \log |V|)[15].
  • Prim's algorithm's worst-case time complexity is recorded as O((|V| + |E|) \log |V|) = O(|E| \log |V|)[16].
  • Prim's algorithm's worst-case time complexity is recorded as O(|V|^2)[17].
  • Prim's algorithm's Dictionary of Algorithms and Data Structures ID is recorded as PrimsAlgorithm[18].
  • Prim's algorithm's Dictionary of Algorithms and Data Structures ID is recorded as PrimJarniacutek[19].
  • Prim's algorithm's Dictionary of Algorithms and Data Structures ID is recorded as primJarnik[20].
  • Prim's algorithm's Microsoft Academic ID is recorded as 1649724[21].
  • Prim's algorithm's OpenAlex ID is recorded as C1649724[22].

Body

Designation and Status

Recorded instance of include algorithm[6], graph algorithm[7], and greedy algorithm[8].

History and Context

Things named after include Robert C. Prim[9], a mathematician[23], 1921–2021[24], of United States[25] and Vojtěch Jarník[10], a mathematician[26], 1897–1970[27], of Austria–Hungary[28], awarded the Order of Labour (Czechoslovakia)[29], specialised in number theory[30].

Why It Matters

Prim's algorithm ranks in the top 7% of algorithm entities by monthly Wikipedia readership (367 views/month).[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[31] It is known by 22 alternative names across languages and contexts.[32]

References

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

Direct Wikidata claims

  1. [6] . wikidata.org.
  2. [7] . wikidata.org.
  3. [8] . wikidata.org.
  4. [3] . wikidata.org.
  5. [4] . wikidata.org.
  6. [5] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . Freebase Data Dumps. wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Inline context (facts about related entities)

  1. [23] . Wikidata. wikidata.org. → on this site
  2. [24] . Wikidata. wikidata.org. → on this site
  3. [25] . Wikidata. wikidata.org. → on this site
  4. [26] . Wikidata. wikidata.org. → on this site
  5. [27] . Wikidata. wikidata.org. → on this site
  6. [28] . Wikidata. wikidata.org. → on this site
  7. [29] . Wikidata. wikidata.org. → on this site
  8. [30] . 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. [31] . Wikidata sitelinks. wikidata.org.
  3. [32] . 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). Prim's algorithm. Retrieved May 3, 2026, from https://4ort.xyz/entity/prim-s-algorithm
MLA “Prim's algorithm.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/prim-s-algorithm.
BibTeX @misc{4ortxyz_prim-s-algorithm_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Prim's algorithm}}, year = {2026}, url = {https://4ort.xyz/entity/prim-s-algorithm}, note = {Accessed: 2026-05-03}}
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