Triple

T21494569
Position Surface form Disambiguated ID Type / Status
Subject Steiner tree problem E530318 entity
Predicate alsoCalled P39 FINISHED
Object Steiner minimal tree problem NE NERFINISHED

How this triple was built (2 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: Steiner minimal tree problem | Statement: [Steiner tree problem, alsoCalled, Steiner minimal tree problem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Steiner minimal tree problem
Context triple: [Steiner tree problem, alsoCalled, Steiner minimal tree problem]
  • A. Steiner tree problem chosen
    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.
  • B. 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.
  • C. Fermat point
    The Fermat point is a special point inside a triangle that minimizes the total distance to the triangle’s three vertices.
  • D. Chebyshev center
    The Chebyshev center is a concept in geometry and optimization referring to the center of the smallest-radius ball that encloses a given set.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0c45bd15481909fba5910765cdda2 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69e9ea567244819091863350fedae3ae completed April 23, 2026, 9:45 a.m.
Created at: April 16, 2026, 6:23 p.m.