Practice Question 8 - 29.1.9 | 29. Introduction to Tutorial 8 | 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 regular graph.

💡 Hint: Consider the degree of vertices.

Question 2

Easy

What is a cut edge?

💡 Hint: Think about the connectivity of the graph.

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 defines a regular graph?

  • All vertices connect to the same number of edges
  • Vertices have arbitrary degrees
  • Some vertices connect to no edges

💡 Hint: Think about how degrees are distributed.

Question 2

True or False: A cut edge must be removed to keep the graph connected.

  • True
  • False

💡 Hint: Consider the impact of removing edges.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a regular graph of degree 4 that contains at least one cut edge, detailing the steps taken.

💡 Hint: Consider the implications of each cut edge and how it affects the degree of connected vertices.

Question 2

Explain how you can convert a regular graph into a bipartite graph while ensuring it remains regular.

💡 Hint: Focus on how edges will connect vertices across two clear partitions.

Challenge and get performance evaluation