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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is vertex colouring?
💡 Hint: Think of it like arranging different subjects without conflicts.
Question 2
Easy
What does the chromatic number represent?
💡 Hint: It's a specific quantity related to the graph's 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 does vertex colouring aim to achieve?
- Minimize the number of colours
- Maximize the number of colours
- No relation to colours
💡 Hint: Remember what you aim to achieve with colour assignments.
Question 2
True or False: The greedy algorithm always guarantees an optimal solution in vertex colouring.
- True
- False
💡 Hint: Reflect on what happens if you choose the wrong vertex first.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a graph where vertex degrees vary, design a strategy for colour assignment that minimizes overlaps, and analyze its effectiveness.
💡 Hint: Consider how high-degree vertices limit your colour options.
Question 2
Suppose you have a complete graph with ten vertices. How many colours must you use, and why? Can you relate this to chromatic number?
💡 Hint: Recall how complete graphs are structured.
Challenge and get performance evaluation