3.1.4 - Greedy Algorithm for Vertex Colouring
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Practice Questions
Test your understanding with targeted questions
What is vertex colouring?
💡 Hint: Think of it like arranging different subjects without conflicts.
What does the chromatic number represent?
💡 Hint: It's a specific quantity related to the graph's vertices.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does vertex colouring aim to achieve?
💡 Hint: Remember what you aim to achieve with colour assignments.
True or False: The greedy algorithm always guarantees an optimal solution in vertex colouring.
💡 Hint: Reflect on what happens if you choose the wrong vertex first.
1 more question available
Challenge Problems
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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.
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.
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