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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the vertex chromatic number?
💡 Hint: Think about how colors can impact adjacency.
Question 2
Easy
Explain the greedy algorithm in simple terms.
💡 Hint: What does 'greedy' imply when choosing colors?
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the vertex chromatic number indicate?
- The number of edges
- Minimum colors needed to color vertices
- Maximum degree of a vertex
💡 Hint: Focus on the definition of vertex chromatic number.
Question 2
True or False: The greedy algorithm guarantees an optimal vertex coloring solution.
- True
- False
💡 Hint: Consider examples where coloring can differ.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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!
Question 2
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.
Challenge and get performance evaluation