3.2 - Edge Colouring
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Practice Questions
Test your understanding with targeted questions
What is edge colouring?
💡 Hint: Think about how colours differ in a graph.
What does the edge chromatic number denote?
💡 Hint: Consider the minimum colours necessary to avoid conflicts.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the purpose of edge colouring in graph theory?
💡 Hint: Think about what graph components we are colouring.
True or False: The maximum degree of a vertex gives a lower bound for edge chromatic number.
💡 Hint: Remember how edges are connected to vertices.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
For a graph consisting of 8 nodes with varying degrees, demonstrate the edge colouring process while illustrating the chromatic number.
💡 Hint: Keep track of which colours you've assigned.
Design a scheduling algorithm for a tournament with 10 teams, ensuring no two matches occur on the same day for any team. Calculate the edge chromatic number.
💡 Hint: Draw the graph and assign colours carefully, counting distinct colours used.
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