Practice Question 8 (29.1.9) - Introduction to Tutorial 8 - Discrete Mathematics - Vol 2
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Question 8

Practice - Question 8

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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