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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?
💡 Hint: Think about how colors relate to edges.
Question 2
Easy
What does Δ(G) represent in graph theory?
💡 Hint: It concerns the highest number of edges connected to a single vertex.
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 edge chromatic number of a complete graph with 3 vertices?
- 1
- 2
- 3
💡 Hint: Visualize the triangle.
Question 2
True or False: The edge chromatic number can exceed Δ(G) + 1.
- True
- False
💡 Hint: Think of the theorem!
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a graph with n vertices where the edge chromatic number is Δ(G) + 1. Justify your construction.
💡 Hint: Remember the connectedness of vertices.
Question 2
Given a graph of known maximum degree, propose how you would determine the edge chromatic number in practice, especially with no visual aid.
💡 Hint: Consult on practical theoretical approaches.
Challenge and get performance evaluation