3 - Vertex and Edge Colouring
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Practice Questions
Test your understanding with targeted questions
Define vertex colouring.
💡 Hint: Think about scheduling.
What is the goal of edge colouring?
💡 Hint: Consider tournament matches.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the vertex chromatic number?
💡 Hint: Think about preventing colour conflicts.
True or False: The greedy algorithm guarantees an optimal solution for vertex colouring.
💡 Hint: Consider the order in which you pick vertices.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a complex graph with multiple vertices and edges, use the greedy algorithm to determine the chromatic number. Discuss whether the result is optimal.
💡 Hint: Draw the graph and apply the algorithm step-by-step.
Design a simple graph and explain how you would schedule a round-robin tournament using edge colouring. Calculate the edge chromatic number using the Gupta-Vizing theorem.
💡 Hint: Visualize the tournament as a complete graph.
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