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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is edge colouring?
💡 Hint: Think about how colours differ in a graph.
Question 2
Easy
What does the edge chromatic number denote?
💡 Hint: Consider the minimum colours necessary to avoid conflicts.
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 purpose of edge colouring in graph theory?
- To assign colours to vertices
- To assign colours to edges
- To create a complete graph
💡 Hint: Think about what graph components we are colouring.
Question 2
True or False: The maximum degree of a vertex gives a lower bound for edge chromatic number.
- True
- False
💡 Hint: Remember how edges are connected to vertices.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
For a graph consisting of 8 nodes with varying degrees, demonstrate the edge colouring process while illustrating the chromatic number.
💡 Hint: Keep track of which colours you've assigned.
Question 2
Design a scheduling algorithm for a tournament with 10 teams, ensuring no two matches occur on the same day for any team. Calculate the edge chromatic number.
💡 Hint: Draw the graph and assign colours carefully, counting distinct colours used.
Challenge and get performance evaluation