Practice Definition Of A Graph (24.1.1) - Graph Theory Basics - Discrete Mathematics

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6 sample questions

Question 1.
What are the two main components of a graph?
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Think of what makes up a graph.
Question 2.
Define a directed graph.
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Does direction matter in this type of graph?
3Question 3.
What is a graph?
- A collection of points
- A collection of vertices and edges
- A type of equation
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Consider what components make up the structure of a graph.
4Question 4.
In a directed graph, do edges show direction?
- True
- False
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Think about the meaning of directed edges.
Question 5.
Given a graph with 4 vertices and edges between vertices 1-2, 2-3, 3-4, and 4-1, calculate the degree of each vertex and verify the handshaking theorem.
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Count the connections starting from every vertex.
Question 6.
Construct a directed graph with at least three vertices where one vertex has a self-loop. Describe its edge and vertex characteristics.
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Remember how self-loops affect the degree count.

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