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Questions and Answers
Which of the following is a correct definition of a graph in graph theory?
Which of the following is a correct definition of a graph in graph theory?
- A graph is a mathematical structure used to model pairwise relations between objects.
- A graph is a collection of vertices connected by edges.
- A graph is a mathematical object used in discrete mathematics.
- A graph is an ordered pair comprising vertices and edges. (correct)
What is the difference between undirected graphs and directed graphs?
What is the difference between undirected graphs and directed graphs?
- Undirected graphs have a different mathematical structure than directed graphs.
- Undirected graphs have symmetric edges, while directed graphs have asymmetric edges. (correct)
- Undirected graphs have more vertices than directed graphs.
- Undirected graphs have fewer edges than directed graphs.
Which area of mathematics is graph theory a part of?
Which area of mathematics is graph theory a part of?
- Geometry
- Calculus
- Statistics
- Discrete mathematics (correct)
What are the vertices in a graph?
What are the vertices in a graph?
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How are graphs commonly used in mathematics?
How are graphs commonly used in mathematics?
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