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

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation