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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does vertex coloring involve?
💡 Hint: Think about graph connections.
Question 2
Easy
What is the maximum degree Δ(G)?
💡 Hint: Consider the vertex with the most connections.
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 is the vertex chromatic number of a graph?
- The maximum number of edges
- The minimum number of colors needed for coloring
- The average of the degrees
💡 Hint: Focus on the definition of chromatic number.
Question 2
True or False: The greedy algorithm can always give the optimal coloring.
- True
- False
💡 Hint: Consider how order affects the results.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a graph of 6 vertices forming a cycle. Determine the chromatic number and explain your reasoning.
💡 Hint: Visualize the sequence of colors placed around the cycle.
Question 2
Design a graph that can be colored optimally with 3 colors yet a greedy algorithm may suggest 4, and explain.
💡 Hint: Investigate the edges connecting two groups.
Challenge and get performance evaluation