Triple

T13507194
Position Surface form Disambiguated ID Type / Status
Subject Fibonacci heap E321043 entity
Predicate usedInAlgorithm P25490 FINISHED
Object Prim's minimum spanning tree algorithm
Prim's minimum spanning tree algorithm is a greedy graph algorithm that incrementally builds a minimum-cost spanning tree by repeatedly adding the cheapest edge connecting the growing tree to a new vertex.
E1047207 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Prim's minimum spanning tree algorithm | Statement: [Fibonacci heap, usedInAlgorithm, Prim's minimum spanning tree algorithm]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Prim's minimum spanning tree algorithm
Context triple: [Fibonacci heap, usedInAlgorithm, Prim's minimum spanning tree algorithm]
  • A. Kruskal’s minimum spanning tree algorithm
    Kruskal’s minimum spanning tree algorithm is a classic greedy graph algorithm that builds a minimum spanning tree by repeatedly adding the smallest-weight edge that does not create a cycle, typically implemented efficiently using a union–find data structure.
  • B. Kruskal
    Kruskal is a surname most prominently associated with American mathematician Martin David Kruskal, known for his work in soliton theory and nonlinear science.
  • C. Dijkstra's shortest path algorithm
    Dijkstra's shortest path algorithm is a classic graph algorithm that efficiently computes the minimum-cost paths from a single source vertex to all other vertices in a weighted graph with non-negative edge weights.
  • D. Dijkstra
    Dijkstra is a renowned Dutch computer scientist best known for his pioneering work in algorithms, including Dijkstra's shortest path algorithm, and for his influential contributions to programming methodology and software engineering.
  • E. Steiner tree problem
    The Steiner tree problem is a classic optimization problem in combinatorial mathematics and computer science that seeks the shortest network of line segments connecting a given set of points, potentially adding extra intermediate points to minimize total length.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Prim's minimum spanning tree algorithm
Triple: [Fibonacci heap, usedInAlgorithm, Prim's minimum spanning tree algorithm]
Generated description
Prim's minimum spanning tree algorithm is a greedy graph algorithm that incrementally builds a minimum-cost spanning tree by repeatedly adding the cheapest edge connecting the growing tree to a new vertex.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Prim's minimum spanning tree algorithm
Target entity description: Prim's minimum spanning tree algorithm is a greedy graph algorithm that incrementally builds a minimum-cost spanning tree by repeatedly adding the cheapest edge connecting the growing tree to a new vertex.
  • A. Kruskal’s minimum spanning tree algorithm
    Kruskal’s minimum spanning tree algorithm is a classic greedy graph algorithm that builds a minimum spanning tree by repeatedly adding the smallest-weight edge that does not create a cycle, typically implemented efficiently using a union–find data structure.
  • B. Kruskal
    Kruskal is a surname most prominently associated with American mathematician Martin David Kruskal, known for his work in soliton theory and nonlinear science.
  • C. Dijkstra's shortest path algorithm
    Dijkstra's shortest path algorithm is a classic graph algorithm that efficiently computes the minimum-cost paths from a single source vertex to all other vertices in a weighted graph with non-negative edge weights.
  • D. Dijkstra
    Dijkstra is a renowned Dutch computer scientist best known for his pioneering work in algorithms, including Dijkstra's shortest path algorithm, and for his influential contributions to programming methodology and software engineering.
  • E. Steiner tree problem
    The Steiner tree problem is a classic optimization problem in combinatorial mathematics and computer science that seeks the shortest network of line segments connecting a given set of points, potentially adding extra intermediate points to minimize total length.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d807629d6c8190998f1b9bb12d2ed0 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69dbbe99ddc08190a8d79107c8e176fa completed April 12, 2026, 3:47 p.m.
NED1 Entity disambiguation (via context triple) batch_69f75d9009688190b8f18bb3525c6afd completed May 3, 2026, 2:37 p.m.
NEDg Description generation batch_69f75ec5101081909652b0c0998b36c8 completed May 3, 2026, 2:42 p.m.
NED2 Entity disambiguation (via description) batch_69f75f4a3b0c81908c0ca0351771953b completed May 3, 2026, 2:44 p.m.
Created at: April 9, 2026, 9:43 p.m.