Practice Cut Vertex And Cut Edge (1.9) - Various Operations on Graphs - Discrete Mathematics

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6 sample questions

Question 1.
Define a cut vertex.
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Think about its role in connectivity.
Question 2.
What happens to a graph when a cut edge is removed?
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Consider the impact of cutting connections.
3Question 3.
What is a cut vertex?
- An edge whose removal disconnects the graph.
- A vertex whose removal disconnects the graph.
- A type of graph.
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Think about the role of vertices in maintaining graph structure.
4Question 4.
True or False: A cut edge increases the connectivity of a graph.
- True
- False
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What happens when we remove a critical edge?
Question 5.
Design a custom graph with at least three cut vertices and discuss the implications of their removal.
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Use simple shapes and connections to create your graph.
Question 6.
Analyze a subway system modeled as a graph. Identify the cut edges and discuss how their removal would affect travel.
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Think about the importance of each subway line in connecting major areas.

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