3.1.3 - Vertex Chromatic Number
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Practice Questions
Test your understanding with targeted questions
What is the vertex chromatic number?
💡 Hint: Think about how colors can impact adjacency.
Explain the greedy algorithm in simple terms.
💡 Hint: What does 'greedy' imply when choosing colors?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the vertex chromatic number indicate?
💡 Hint: Focus on the definition of vertex chromatic number.
True or False: The greedy algorithm guarantees an optimal vertex coloring solution.
💡 Hint: Consider examples where coloring can differ.
1 more question available
Challenge Problems
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Given a graph with 6 vertices and edges connecting them in a way that forms a cycle, calculate its chromatic number and explain your reasoning.
💡 Hint: Count the edges and see how they connect!
Design a scenario in which a greedy algorithm fails to find the optimal solution in vertex coloring, detailing your graph structure.
💡 Hint: Imagine selecting corners of triangles one by one and how color constraints apply.
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