Practice Cut Vertex And Cut Edge (1.9) - Various Operations on Graphs - Discrete Mathematics - Vol 2
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Cut Vertex and Cut Edge

Practice - Cut Vertex and Cut Edge

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a cut vertex.

💡 Hint: Think about its role in connectivity.

Question 2 Easy

What happens to a graph when a cut edge is removed?

💡 Hint: Consider the impact of cutting connections.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a cut vertex?

An edge whose removal disconnects the graph.
A vertex whose removal disconnects the graph.
A type of graph.

💡 Hint: Think about the role of vertices in maintaining graph structure.

Question 2

True or False: A cut edge increases the connectivity of a graph.

True
False

💡 Hint: What happens when we remove a critical edge?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a custom graph with at least three cut vertices and discuss the implications of their removal.

💡 Hint: Use simple shapes and connections to create your graph.

Challenge 2 Hard

Analyze a subway system modeled as a graph. Identify the cut edges and discuss how their removal would affect travel.

💡 Hint: Think about the importance of each subway line in connecting major areas.

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Reference links

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