Practice Conclusion (4.8) - Prof. Ashish Choudhury - Discrete Mathematics - Vol 3

Practice: Conclusion

Lesson 4.8Prof. Ashish Choudhury

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8 questions

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Exercise
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6 sample questions

Question 1.
Define vertex connectivity in your own words.
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Think about what happens to a graph when vertices are removed.
Question 2.
What does edge connectivity measure?
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Consider how edges might hold a graph together.
3Question 3.
What is vertex connectivity?
- A. The minimum number of edges to remove
- B. The minimum number of vertices to remove
- C. The minimum degree of the vertices
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Think about which components are crucial for connectivity.
4Question 4.
True or False: Edge connectivity is always less than or equal to vertex connectivity.
- True
- False
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Consider the definitions of both types of connectivity.
Question 5.
Construct a simple graph with a vertex connectivity of 3, where the edge connectivity is 2, and minimum degree equals 4. Explain your reasoning.
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Consider starting with larger graphs and trimming down.
Question 6.
Given a connected graph with 5 vertices and 4 edges, show if it's possible to have a vertex connectivity of 2 while maintaining a high edge connectivity.
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Map out the vertices and edges to visualize connections.

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