6.3 - Question 12: Greedy Strategy for Vertex Colouring
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Practice Questions
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Define vertex colouring.
💡 Hint: Think about the application in scheduling.
What does the Welsh-Powell algorithm do?
💡 Hint: No hint provided
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Interactive Quizzes
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What does the Welsh-Powell algorithm follow?
💡 Hint: Focus on the concept of degrees.
True or False: The Welsh-Powell algorithm always finds the optimal solution for vertex colouring.
💡 Hint: Think about the scenarios we've discussed.
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Challenge Problems
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Given a graph with 6 vertices in a cycle, apply the Welsh-Powell algorithm and determine if it results in using more colours than optimal.
💡 Hint: Start with the vertex that has the highest degree.
Create a more complex graph with connections among vertices, illustrating where the Welsh-Powell algorithm may fail to be optimal. Then show the optimal colour assignment.
💡 Hint: Challenge yourself: consider how to minimize colours based on vertex connections.
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