Practice Question 2 (29.1.3) - Introduction to Tutorial 8 - Discrete Mathematics - Vol 2
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Question 2

Practice - Question 2

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is an articulation point?

💡 Hint: Think about what happens when you remove a vertex.

Question 2 Easy

Is a graph with no articulation points always connected?

💡 Hint: Consider what you learned about graph connectivity.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is an articulation point in a graph?

A vertex that connects to only one other vertex
A vertex that increases components when removed
A vertex with the highest degree

💡 Hint: Consider the role of vertices in maintaining paths.

Question 2

True or False: A graph can be connected and still have vertices that are all articulation points.

True
False

💡 Hint: Think about the effects of removing a critical vertex from the graph.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with edges indicating connections, identify all articulation points and verify if their removal leads to disconnection.

💡 Hint: Focus on connectivity while traversing the graph.

Challenge 2 Hard

Construct a connected graph with exactly two articulation points, then demonstrate its disconnection upon removing either point.

💡 Hint: Draw the graph before and after removing points to visualize changes.

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