Practice Combinatorial Proof - 4.7 | 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: What is the defining factor for disconnection?

Question 2

Easy

What is edge connectivity?

💡 Hint: Consider how edges affect graph stability.

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 the minimum degree necessary to achieve vertex connectivity of 3?

  • 1
  • 2
  • 3
  • 4

💡 Hint: Consider how many connections are required.

Question 2

True or False: Removing one edge can always increase vertex connectivity.

  • True
  • False

💡 Hint: Evaluate if edge removal affects disconnection.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with 5 vertices and specific connections, determine the vertex and edge connectivity.

💡 Hint: Consider removal strategies for both vertices and edges.

Question 2

Create a combinatorial proof showing the relationship between the number of edges in a complete graph and its constructive components.

💡 Hint: Examine edge counts from multiple perspectives.

Challenge and get performance evaluation