Practice Conclusion - 4.8 | 4. Prof. Ashish Choudhury | Discrete Mathematics - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define vertex connectivity in your own words.

💡 Hint: Think about what happens to a graph when vertices are removed.

Question 2

Easy

What does edge connectivity measure?

💡 Hint: Consider how edges might hold a graph together.

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 vertex connectivity?

  • A. The minimum number of edges to remove
  • B. The minimum number of vertices to remove
  • C. The minimum degree of the vertices

💡 Hint: Think about which components are crucial for connectivity.

Question 2

True or False: Edge connectivity is always less than or equal to vertex connectivity.

  • True
  • False

💡 Hint: Consider the definitions of both types of connectivity.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Construct a simple graph with a vertex connectivity of 3, where the edge connectivity is 2, and minimum degree equals 4. Explain your reasoning.

💡 Hint: Consider starting with larger graphs and trimming down.

Question 2

Given a connected graph with 5 vertices and 4 edges, show if it's possible to have a vertex connectivity of 2 while maintaining a high edge connectivity.

💡 Hint: Map out the vertices and edges to visualize connections.

Challenge and get performance evaluation