Alan Hoffman
E412003
Alan Hoffman is a mathematician known for his contributions to linear algebra and combinatorics, particularly in matrix theory and graph theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Alan Hoffman canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3780449 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Alan Hoffman Context triple: [Hoffman, hasNotableBearer, Alan Hoffman]
-
A.
Robert Hoffman
Robert Hoffman is an American actor, dancer, and choreographer best known for his roles in films like "Step Up 2: The Streets" and various dance-focused performances.
-
B.
Paul Hoffman
Paul Hoffman is a common name shared by several notable individuals, including authors, journalists, and public figures across various fields.
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C.
Martin Hoffman
Martin Hoffman is a personal name shared by multiple individuals across various fields, including academia, the arts, and public life.
-
D.
Aaron Hoffman
Aaron Hoffman is a relatively obscure individual about whom no widely recognized public information is available.
-
E.
Paul G. Hoffman
Paul G. Hoffman was an American automobile executive and public administrator best known for leading post–World War II European recovery efforts and later serving in prominent roles at the United Nations.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Alan Hoffman Target entity description: Alan Hoffman is a mathematician known for his contributions to linear algebra and combinatorics, particularly in matrix theory and graph theory.
-
A.
Robert Hoffman
Robert Hoffman is an American actor, dancer, and choreographer best known for his roles in films like "Step Up 2: The Streets" and various dance-focused performances.
-
B.
Paul Hoffman
Paul Hoffman is a common name shared by several notable individuals, including authors, journalists, and public figures across various fields.
-
C.
Martin Hoffman
Martin Hoffman is a personal name shared by multiple individuals across various fields, including academia, the arts, and public life.
-
D.
Aaron Hoffman
Aaron Hoffman is a relatively obscure individual about whom no widely recognized public information is available.
-
E.
Paul G. Hoffman
Paul G. Hoffman was an American automobile executive and public administrator best known for leading post–World War II European recovery efforts and later serving in prominent roles at the United Nations.
- F. None of above. chosen
Statements (29)
| Predicate | Object |
|---|---|
| instanceOf | mathematician ⓘ |
| coAuthor |
Harold W. Kuhn
ⓘ
surface form:
H. W. Kuhn
Joseph B. Kruskal ⓘ
surface form:
J. B. Kruskal
Philip M. Wolfe NERFINISHED ⓘ |
| countryOfCitizenship | United States of America ⓘ |
| employer | IBM ⓘ |
| fieldOfWork |
combinatorics
ⓘ
graph theory ⓘ linear algebra ⓘ mathematics ⓘ matrix theory ⓘ |
| hasAcademicPublication |
papers on eigenvalues of graphs
ⓘ
papers on linear inequalities ⓘ |
| influenced |
research in matrix theory
ⓘ
research in spectral graph theory ⓘ |
| knownAs | Alan J. Hoffman NERFINISHED ⓘ |
| languageOfWorkOrName | English ⓘ |
| mainInterest |
combinatorial optimization
ⓘ
eigenvalues of matrices ⓘ spectral graph theory ⓘ |
| memberOf | American Mathematical Society ⓘ |
| notableConcept |
Hoffman bound in graph theory
ⓘ
Hoffman–Wielandt inequality ⓘ |
| notableFor |
contributions to combinatorics
ⓘ
contributions to linear algebra ⓘ work in graph theory ⓘ work in matrix theory ⓘ |
| occupation | research mathematician ⓘ |
| workLocation | IBM Thomas J. Watson Research Center ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Alan Hoffman Description of subject: Alan Hoffman is a mathematician known for his contributions to linear algebra and combinatorics, particularly in matrix theory and graph theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.