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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the edge chromatic number of a graph?
💡 Hint: Think about how edges are related to vertices.
Question 2
Easy
Define maximum degree (Δ(G)).
💡 Hint: Consider the most connected vertex in the graph.
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 edge chromatic number of a graph refer to?
- The number of colors needed for vertices
- The number of colors needed for edges
- The maximum degree of the graph
💡 Hint: Focus on what is being colored; edges or vertices.
Question 2
True or False: The edge chromatic number can be less than the maximum degree of a vertex.
- True
- False
💡 Hint: Think about the implications of adjacent edges.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a pentagon graph (5 vertices forming a cycle), what is the edge chromatic number? Prove your answer.
💡 Hint: Draw the graph and try applying colors to the edges.
Question 2
Create a scenario with a bipartite graph and evaluate its edge chromatic number.
💡 Hint: Bipartite graphs have special properties related to colors.
Challenge and get performance evaluation