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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define edge colouring in simple terms.
💡 Hint: Think about how colors help differentiate edges.
Question 2
Easy
What is the edge chromatic number?
💡 Hint: Focus on the concept of minimization in graph properties.
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 edge colouring in graph theory?
- A method of coloring vertices
- A method of coloring edges
- A process to find cycles
💡 Hint: Focus on what part of the graph is being colored.
Question 2
True or False: The Gupta-Vizing theorem provides exact values for edge chromatic numbers.
- True
- False
💡 Hint: Think about the type of limits provided.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a graph with eight vertices where every vertex is connected to all others. What is the edge chromatic number, and how would you show this using edge colouring?
💡 Hint: Use the concept of complete graphs to visualize.
Question 2
Create a real-life scenario where edge colouring is essential and detail how one would implement it.
💡 Hint: Consider the implications of overlapping schedules.
Challenge and get performance evaluation