Triple

T15918582
Position Surface form Disambiguated ID Type / Status
Subject Szekeres snark E386032 entity
Predicate isComparedWith P278 FINISHED
Object Petersen graph
The Petersen graph is a famous 10-vertex, 15-edge cubic graph in graph theory known for its high symmetry and role as a counterexample in numerous graph-theoretic problems.
E1182410 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: Petersen graph | Statement: [Szekeres snark, isComparedWith, Petersen graph]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Petersen graph
Context triple: [Szekeres snark, isComparedWith, Petersen graph]
  • A. Szekeres snark
    The Szekeres snark is a famous cubic graph in graph theory that serves as a counterexample in edge-coloring problems and helped advance the study of snark graphs.
  • B. Cayley graph
    A Cayley graph is a graphical representation of a group where vertices correspond to group elements and edges represent multiplication by chosen generators, widely used in group theory and geometric group theory.
  • C. Sierpiński graph
    The Sierpiński graph is a self-similar, fractal-like graph structure closely related to the Sierpiński triangle and studied in graph theory and fractal geometry.
  • D. Conway's 99-graph problem
    Conway's 99-graph problem is an unsolved combinatorial question in graph theory, posed by John H. Conway, concerning the existence and properties of a hypothetical 99-vertex graph with highly constrained adjacency conditions.
  • E. Graham–Pollak theorem
    The Graham–Pollak theorem is a result in graph theory that states the edges of a complete graph on n vertices cannot be partitioned into fewer than n−1 complete bipartite subgraphs.
  • 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: Petersen graph
Triple: [Szekeres snark, isComparedWith, Petersen graph]
Generated description
The Petersen graph is a famous 10-vertex, 15-edge cubic graph in graph theory known for its high symmetry and role as a counterexample in numerous graph-theoretic problems.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Petersen graph
Target entity description: The Petersen graph is a famous 10-vertex, 15-edge cubic graph in graph theory known for its high symmetry and role as a counterexample in numerous graph-theoretic problems.
  • A. Szekeres snark
    The Szekeres snark is a famous cubic graph in graph theory that serves as a counterexample in edge-coloring problems and helped advance the study of snark graphs.
  • B. Cayley graph
    A Cayley graph is a graphical representation of a group where vertices correspond to group elements and edges represent multiplication by chosen generators, widely used in group theory and geometric group theory.
  • C. Sierpiński graph
    The Sierpiński graph is a self-similar, fractal-like graph structure closely related to the Sierpiński triangle and studied in graph theory and fractal geometry.
  • D. Conway's 99-graph problem
    Conway's 99-graph problem is an unsolved combinatorial question in graph theory, posed by John H. Conway, concerning the existence and properties of a hypothetical 99-vertex graph with highly constrained adjacency conditions.
  • E. Graham–Pollak theorem
    The Graham–Pollak theorem is a result in graph theory that states the edges of a complete graph on n vertices cannot be partitioned into fewer than n−1 complete bipartite subgraphs.
  • 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_69d86da686e4819097cbf3b1fc2d881d completed April 10, 2026, 3:25 a.m.
NER Named-entity recognition batch_69e1567ff9e48190b73cb101fc3f7b2b completed April 16, 2026, 9:37 p.m.
NED1 Entity disambiguation (via context triple) batch_69ffb05d1fb481909b42bea774a15c70 completed May 9, 2026, 10:08 p.m.
NEDg Description generation batch_69ffb0cfac808190b32bb25659603fb4 completed May 9, 2026, 10:10 p.m.
NED2 Entity disambiguation (via description) batch_69ffb15b987c8190ae9c96f15fc55b27 completed May 9, 2026, 10:12 p.m.
Created at: April 10, 2026, 4:52 a.m.