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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the vertex colouring problem?
💡 Hint: Think of scheduling conflicts.
Question 2
Easy
Define chromatic number.
💡 Hint: Remember how you schedule your subjects!
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 does vertex coloring aim to achieve?
- Two adjacent vertices have the same color
- No two adjacent vertices share the same color
- Using as many colors as possible
💡 Hint: Relate it back to exam scheduling.
Question 2
True or False: The chromatic number can be determined efficiently for all types of graphs.
- True
- False
💡 Hint: Remember the challenges with large graphs.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a graph with 5 vertices and describe how many colors you can use at minimum for a valid coloring. Justify your reasoning.
💡 Hint: Draw different combinations to find a minimal color scheme.
Question 2
Using a graph of your choice, implement the greedy algorithm step-by-step to show the coloring process and explain the results. Discuss if the coloring is optimal.
💡 Hint: Visual aids can assist in understanding the algorithm's application.
Challenge and get performance evaluation