Practice Simple Graph Definition (24.1.3) - Graph Theory Basics - Discrete Mathematics

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6 sample questions

Question 1.
What is a graph?
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Think about how you can visualize connections.
Question 2.
What does it mean for a graph to be directed?
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Consider a one-way street for directions.
3Question 3.
What is the defining characteristic of a simple graph?
- A graph with many edges between nodes.
- A graph with no self-loops and at most one edge between any two vertices.
- A graph with no edges.
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Think about the restrictions placed on connections.
4Question 4.
True or False: In a directed graph, edges can be traversed in both directions.
- True
- False
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Consider how directed edges behave.
Question 5.
Create a simple graph with at least 4 vertices and demonstrate the degrees of each vertex. Explain any observations you make.
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Ensure your graph clearly shows connections and follows the simple graph criteria.
Question 6.
Discuss how adding a self-loop to a vertex changes the properties of a simple graph. Give an example.
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Recall how degrees are calculated and what constitutes a simple graph.

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