Practice Unknown Graph G (4.3.1) - Prof. Ashish Choudhury - Discrete Mathematics

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9 questions

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6 sample questions

Question 1.
Define vertex connectivity in your own words.
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Think of how many people would need to leave a party to separate the remaining guests.
Question 2.
What is the minimum degree of a graph?
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Look for the least connected person in a group photo.
3Question 3.
What is the relationship between vertex connectivity and edge connectivity?
- Vertex connectivity > Edge connectivity
- Edge connectivity > Vertex connectivity
- They are equal
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Remember the definitions!
4Question 4.
True or False: A complete graph's vertex connectivity is 1.
- True
- False
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Consider the definition of a complete graph.
Question 5.
Construct a graph with 6 vertices that has a vertex connectivity of 3, edge connectivity of 4, and a minimum degree of 5. Justify your construction.
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Use trial-and-error and keep connectivity rules in mind.
Question 6.
Given a graph with 8 vertices and minimum degree of 3, show that it has at least 12 edges, and explain your reasoning.
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Employ properties like Handshaking Lemma.

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