Triple
T24824261
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Alon–Boppana bound |
E621145
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in spectral graph theory |
C46262
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: result in spectral graph theory Context triple: [Alon–Boppana bound, instanceOf, result in spectral graph theory]
-
A.
result in extremal graph theory
chosen
A result in extremal graph theory is a theorem that determines or bounds the maximum or minimum size of a graph (typically in terms of edges) that avoids containing a specified subgraph or satisfies certain forbidden configurations.
-
B.
result in extremal combinatorics
A result in extremal combinatorics is a theorem that determines or bounds the maximum or minimum size of a discrete structure satisfying specified combinatorial constraints.
-
C.
result in representation theory
A result in representation theory is a proven statement describing how algebraic structures, such as groups or algebras, can be represented by linear transformations on vector spaces and how these representations behave or decompose.
-
D.
open problem in graph theory
An open problem in graph theory is a well-defined question about graphs whose truth or solution is currently unknown and remains an active subject of mathematical research.
-
E.
result in lattice theory
A result in lattice theory is a proven theorem or proposition that describes structural, order-theoretic, or algebraic properties of lattices and their related constructs.
- F. None of above.
Provenance (1 batch)
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_69e2fac0c3b881909110e5a56c6fa46f |
completed | April 18, 2026, 3:30 a.m. |
Created at: April 18, 2026, 5:05 a.m.