Bellman–Ford algorithm

algorithm for finding single-source shortest paths in graphs, allowing some edge weights to be negative
Place pathfinding_algorithm Q816022
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Bellman–Ford algorithm

Summary

Bellman–Ford algorithm is a pathfinding algorithm[1]. It draws 608 Wikipedia views per month (pathfinding_algorithm category, ranking #3 of 5).[2]

Key Facts

  • Bellman–Ford algorithm is credited with the discovery of Richard E. Bellman[3].
  • Bellman–Ford algorithm is credited with the discovery of L. R. Ford, Jr.[4].
  • Bellman–Ford algorithm is credited with the discovery of Edward F. Moore[5].
  • Bellman–Ford algorithm's image is recorded as Bellman–Ford algorithm example.gif[6].
  • Bellman–Ford algorithm's instance of is recorded as pathfinding algorithm[7].
  • Bellman–Ford algorithm's instance of is recorded as graph algorithm[8].
  • Bellman–Ford algorithm's instance of is recorded as mathematical concept[9].
  • Richard E. Bellman is named after Bellman–Ford algorithm[10].
  • L. R. Ford, Jr. is named after Bellman–Ford algorithm[11].
  • Bellman–Ford algorithm's Commons category is recorded as Bellman–Ford algorithm[12].
  • Bellman–Ford algorithm's Freebase ID is recorded as /m/01g933[13].
  • Bellman–Ford algorithm's used by is recorded as distance-vector routing protocol[14].
  • Bellman–Ford algorithm's computes solution to is recorded as shortest path problem[15].
  • Bellman–Ford algorithm's computes solution to is recorded as single-source shortest path problem[16].
  • Bellman–Ford algorithm's uses is recorded as graph data structure[17].
  • Bellman–Ford algorithm's worst-case time complexity is recorded as \Theta (|V| |E|)[18].
  • Bellman–Ford algorithm's best-case time complexity is recorded as \Theta (|E|)[19].
  • Bellman–Ford algorithm's worst-case space complexity is recorded as \Theta (|V|)[20].
  • Bellman–Ford algorithm's derivative work is recorded as Routing Information Protocol[21].
  • Bellman–Ford algorithm's derivative work is recorded as Babel[22].
  • Bellman–Ford algorithm's Dictionary of Algorithms and Data Structures ID is recorded as bellmanford[23].
  • Bellman–Ford algorithm's Dictionary of Algorithms and Data Structures ID is recorded as FordBellman[24].
  • Bellman–Ford algorithm's Microsoft Academic ID is recorded as 2780110560[25].
  • Bellman–Ford algorithm's Brilliant Wiki ID is recorded as bellman-ford-algorithm[26].
  • Bellman–Ford algorithm's GitHub topic is recorded as bellman-ford-algorithm[27].

Body

Designation and Status

Recorded instance of include pathfinding algorithm[7], graph algorithm[8], and mathematical concept[9].

History and Context

Things named after include Richard E. Bellman[10], a mathematician[28], 1920–1984[29], of United States[30], awarded the John von Neumann Theory Prize[31], specialised in applied mathematics[32] and L. R. Ford, Jr.[11], a mathematician[33], 1927–2017[34], of United States[35].

Why It Matters

Bellman–Ford algorithm draws 608 Wikipedia views per month (pathfinding_algorithm category, ranking #3 of 5).[2] It has Wikipedia articles in 22 language editions, a strong signal of global cultural recognition.[36] It is known by 25 alternative names across languages and contexts.[37]

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. [9] . wikidata.org.
  5. [3] . wikidata.org.
  6. [4] . wikidata.org.
  7. [5] . 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] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . RFC 2453: RIP Version 2. Retrieved . wikidata.org.
  20. [22] . RFC 6126: The Babel Routing Protocol. Retrieved . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . github.com. Retrieved . github.com. Provenance: 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

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [36] . Wikidata sitelinks. wikidata.org.
  3. [37] . 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). Bellman–Ford algorithm. Retrieved May 3, 2026, from https://4ort.xyz/entity/bellman-ford-algorithm
MLA “Bellman–Ford algorithm.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/bellman-ford-algorithm.
BibTeX @misc{4ortxyz_bellman-ford-algorithm_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bellman–Ford algorithm}}, year = {2026}, url = {https://4ort.xyz/entity/bellman-ford-algorithm}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Bellman–Ford algorithm — https://4ort.xyz/entity/bellman-ford-algorithm (retrieved 2026-05-03)

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