Johnson's algorithm

algorithm to find shortest paths between all pairs of vertices in a sparse, edge-weighted (possibly negatively), directed graph; uses the Bellman–Ford algorithm to remove negative weights and Dijkstra’s algorithm on the rest
Place algorithm Q2345824
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Johnson's algorithm

Summary

Johnson's algorithm is an algorithm[1]. It draws 101 Wikipedia views per month (algorithm category, ranking #84 of 337).[2]

Key Facts

  • Johnson's algorithm is credited with the discovery of Donald B. Johnson[3].
  • Johnson's algorithm's instance of is recorded as algorithm[4].
  • Johnson's algorithm's instance of is recorded as graph algorithm[5].
  • Johnson's algorithm's instance of is recorded as shortest path problem[6].
  • Donald B. Johnson is named after Johnson's algorithm[7].
  • Johnson's algorithm's Commons category is recorded as Johnson's algorithm[8].
  • Johnson's algorithm's publication date is recorded as +1977-00-00T00:00:00Z[9].
  • Johnson's algorithm's Freebase ID is recorded as /m/04q0b2[10].
  • Johnson's algorithm's computes solution to is recorded as all-pairs shortest path problem[11].
  • Johnson's algorithm's uses is recorded as graph data structure[12].
  • Johnson's algorithm's worst-case time complexity is recorded as O (|V|^2 \log |V| + |V||E|)[13].
  • Johnson's algorithm's Dictionary of Algorithms and Data Structures ID is recorded as johnsonsAlgorithm[14].
  • Johnson's algorithm's Microsoft Academic ID is recorded as 10187374[15].
  • Johnson's algorithm's Brilliant Wiki ID is recorded as johnsons-algorithm[16].

Body

Designation and Status

Recorded instance of include algorithm[4], graph algorithm[5], and shortest path problem[6].

History and Context

Donald B. Johnson is named after Johnson's algorithm[7].

Why It Matters

Johnson's algorithm draws 101 Wikipedia views per month (algorithm category, ranking #84 of 337).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[17] It is known by 3 alternative names across languages and contexts.[18]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [6] . wikidata.org.
  4. [3] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . Freebase Data Dumps. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). Johnson's algorithm. Retrieved May 3, 2026, from https://4ort.xyz/entity/johnson-s-algorithm
MLA “Johnson's algorithm.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/johnson-s-algorithm.
BibTeX @misc{4ortxyz_johnson-s-algorithm_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Johnson's algorithm}}, year = {2026}, url = {https://4ort.xyz/entity/johnson-s-algorithm}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Johnson's algorithm — https://4ort.xyz/entity/johnson-s-algorithm (retrieved 2026-05-03)

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