Introduction to Graph Theory
E895619
Introduction to Graph Theory is a widely used textbook that provides a clear and accessible introduction to the fundamental concepts and techniques of graph theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Introduction to Graph Theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10945745 — 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: Introduction to Graph Theory Context triple: [Richard J. Wilson, notableWork, Introduction to Graph Theory]
-
A.
Graph Algorithms (book)
"Graph Algorithms" is a foundational textbook by Shimon Even that systematically presents the theory, design, and analysis of algorithms for solving fundamental problems on graphs.
-
B.
Erdős on Graphs: His Legacy
Erdős on Graphs: His Legacy is a mathematical monograph by Fan Chung and Ronald Graham that surveys and extends Paul Erdős’s influential work in graph theory and combinatorics.
-
C.
Menger theorem in graph theory
Menger's theorem in graph theory is a fundamental result that characterizes the connectivity between two vertices in a graph by equating the maximum number of pairwise internally disjoint paths between them with the minimum size of a vertex cut separating them.
-
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.
Spectral Graph Theory
Spectral Graph Theory is a mathematical field that studies graphs through the eigenvalues and eigenvectors of matrices associated with them, such as adjacency and Laplacian matrices, with applications across combinatorics, computer science, and network analysis.
- 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: Introduction to Graph Theory Target entity description: Introduction to Graph Theory is a widely used textbook that provides a clear and accessible introduction to the fundamental concepts and techniques of graph theory.
-
A.
Graph Algorithms (book)
"Graph Algorithms" is a foundational textbook by Shimon Even that systematically presents the theory, design, and analysis of algorithms for solving fundamental problems on graphs.
-
B.
Erdős on Graphs: His Legacy
Erdős on Graphs: His Legacy is a mathematical monograph by Fan Chung and Ronald Graham that surveys and extends Paul Erdős’s influential work in graph theory and combinatorics.
-
C.
Menger theorem in graph theory
Menger's theorem in graph theory is a fundamental result that characterizes the connectivity between two vertices in a graph by equating the maximum number of pairwise internally disjoint paths between them with the minimum size of a vertex cut separating them.
-
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.
Spectral Graph Theory
Spectral Graph Theory is a mathematical field that studies graphs through the eigenvalues and eigenvectors of matrices associated with them, such as adjacency and Laplacian matrices, with applications across combinatorics, computer science, and network analysis.
- F. None of above. chosen
Statements (43)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics textbook ⓘ textbook ⓘ |
| aim |
to make graph theory accessible to beginners
ⓘ
to provide a clear introduction to graph theory ⓘ |
| discipline |
discrete mathematics
ⓘ
mathematics ⓘ |
| educationalLevel | university ⓘ |
| feature |
accessible exposition
ⓘ
exercises ⓘ introductory treatment ⓘ worked examples ⓘ |
| field | graph theory ⓘ |
| genre |
educational literature
ⓘ
mathematics ⓘ |
| intendedAudience |
computer science students
ⓘ
graduate students ⓘ mathematics students ⓘ undergraduate students ⓘ |
| language | English ⓘ |
| mainSubject |
discrete mathematics
ⓘ
graph theory ⓘ |
| relatedField |
combinatorics
ⓘ
theoretical computer science ⓘ |
| teaches |
basic techniques of graph theory
ⓘ
fundamental concepts of graph theory ⓘ |
| topic |
Eulerian graphs
NERFINISHED
ⓘ
Hamiltonian graphs ⓘ connectivity ⓘ cycles ⓘ edges ⓘ graph algorithms ⓘ graph coloring ⓘ graphs ⓘ independent sets ⓘ matchings ⓘ paths ⓘ planar graphs ⓘ trees ⓘ vertices ⓘ |
| use |
course textbook
ⓘ
self-study ⓘ teaching ⓘ |
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: Introduction to Graph Theory Description of subject: Introduction to Graph Theory is a widely used textbook that provides a clear and accessible introduction to the fundamental concepts and techniques of graph theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.