6.1 - Question 10: Edge Colouring in Graphs
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Practice Questions
Test your understanding with targeted questions
What is edge colouring?
💡 Hint: Think about how edges interact in a graph.
How many edges can you colour with one colour if n is even?
💡 Hint: Consider the relationship between vertices and edges.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the maximum number of edges that can be coloured with the same colour in an even vertex graph?
💡 Hint: Remember how the count of edges relates to vertices.
Is it possible to colour an odd vertex graph with fewer than n colours?
💡 Hint: Consider how edges would conflict.
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Challenge Problems
Push your limits with advanced challenges
Given a complete graph with 9 vertices, calculate the minimum number of colours needed for a proper edge colouring and justify your reasoning.
💡 Hint: Visualize how edges conflict with one another.
Create a colour assignment for a complete graph with 6 vertices, ensuring all edges are coloured distinctly. Provide a visual representation.
💡 Hint: Draw it out to see the conflicts.
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