Practice Articulation Points - 29.2.3 | 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

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.

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 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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation