6.2 - Question 11: Edge Chromatic Number of Complete Graphs
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Practice Questions
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Define edge chromatic number.
💡 Hint: Think about avoiding conflicts between connected edges.
What is a complete graph?
💡 Hint: Consider a simple graph where every point connects to every other point.
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Interactive Quizzes
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What is the edge chromatic number for a complete graph with 6 vertices?
💡 Hint: Subtract one from the number of vertices.
Can you color a complete graph with 5 vertices using only 4 colors?
💡 Hint: Think about the connections between each vertex.
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Challenge Problems
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You have a complete graph with 7 vertices. Find the minimum number of colors required and detail the coloring strategy.
💡 Hint: Visualize using a diagram.
Construct a complete graph with 9 vertices and describe a systematic coloring algorithm you would employ.
💡 Hint: Think about how to rotate connections for maximum efficiency.
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