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

Practice: Question 2

Lesson 29.1.3Introduction to Tutorial 8

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9 questions

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6 sample questions

Question 1.
What is an articulation point?
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Think about what happens when you remove a vertex.
Question 2.
Is a graph with no articulation points always connected?
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Consider what you learned about graph connectivity.
3Question 3.
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
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Consider the role of vertices in maintaining paths.
4Question 4.
True or False: A graph can be connected and still have vertices that are all articulation points.
- True
- False
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Think about the effects of removing a critical vertex from the graph.
Question 5.
Given a graph with edges indicating connections, identify all articulation points and verify if their removal leads to disconnection.
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Focus on connectivity while traversing the graph.
Question 6.
Construct a connected graph with exactly two articulation points, then demonstrate its disconnection upon removing either point.
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Draw the graph before and after removing points to visualize changes.

5 more questions in this section. Enroll free to practise them all.