Practice Articulation Points (29.2.3) - Introduction to Tutorial 8 - Discrete Mathematics - Vol 2
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Articulation Points

Practice - Articulation Points

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is an articulation point?

💡 Hint: Think about what would happen to a graph if you remove a point.

Question 2 Easy

Is a single node in a graph always an articulation point?

💡 Hint: Consider a graph with just one vertex.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is true about articulation points?

They always exist in any graph
They disconnect the graph when removed
They can exist in disconnected graphs

💡 Hint: Think about the definition of articulation points.

Question 2

True or False: A graph can be fully disconnected while still having every vertex as an articulation point.

True
False

💡 Hint: Remember what it means for a vertex to be an articulation point.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a graph with 7 nodes where each node connects to exactly 4 others in a non-circular fashion. Investigate whether any nodes can be articulation points and justify why.

💡 Hint: Think about pairs of nodes and consider their connectivity.

Challenge 2 Hard

Create a situation in a friendship network with 10 people where any group of three will always consist of either all friends or all enemies, thus demonstrating the Ramsey number relevance in social networks.

💡 Hint: Visual dynamics of connecting different groups will help reveal this.

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