Practice Conclusion - 3.3 | 3. Vertex and Edge Colouring | Discrete Mathematics - Vol 3
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Conclusion

3.3 - Conclusion

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is vertex colouring?

💡 Hint: Focus on adjacent vertices.

Question 2 Easy

Can you define edge chromatic number?

💡 Hint: Think about edges sharing vertices.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the minimum number of colours required in a graph with 8 vertices where the maximum degree is 3?

3
4
5

💡 Hint: Think about the maximum degree.

Question 2

Vertex chromatic number is denoted by which symbol?

💡 Hint: It's a Greek letter.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with 10 vertices where the maximum degree is 5, explain the implications for edge chromatic number. How would you utilize Δ(G)?

💡 Hint: Examine the implications based on vertex edges.

Challenge 2 Hard

Illustrate a scenario in real life where graph colouring is applied and how you would determine chromatic numbers.

💡 Hint: Think about how to model overlaps as connections in a graph.

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