Practice International Institute of Information Technology - Bangalore - 4.1.2 | 4. Prof. Ashish Choudhury | Discrete Mathematics - Vol 3
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International Institute of Information Technology - Bangalore

4.1.2 - International Institute of Information Technology - Bangalore

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is vertex connectivity?

💡 Hint: Think about how many nodes you could take out to break a path.

Question 2 Easy

If a graph has n vertices, what is the maximum number of edges it can have?

💡 Hint: This counts every connection.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines vertex connectivity?

The number of edges
Minimum vertex removal for disconnection
Minimum edges to maintain connection

💡 Hint: Think about how you'd keep a group connected.

Question 2

True or False: Every complete graph has vertex connectivity equal to n-1.

True
False

💡 Hint: Consider how many edges are possible in a complete structure.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Construct two graphs where vertex and edge connectivity varies but both achieve the same minimum degree. Explain how it's achieved.

💡 Hint: Use different configurations to maintain degree but vary edges.

Challenge 2 Hard

Design a simple graph with 6 vertices, ensuring that vertex connectivity is 4, while edge connectivity is lesser. Show configurations.

💡 Hint: Think about groups that rely on fewer vertices while maintaining edge diversity.

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