Practice Cut Vertex and Cut Edge - 1.9 | 27. Various Operations on Graphs | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation