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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define vertex colouring.
💡 Hint: Think about scheduling.
Question 2
Easy
What is the goal of edge colouring?
💡 Hint: Consider tournament matches.
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?
- The number of edges in a graph
- The minimum number of colours needed to colour a graph
- The maximum degree of a vertex
💡 Hint: Think about preventing colour conflicts.
Question 2
True or False: The greedy algorithm guarantees an optimal solution for vertex colouring.
- True
- False
💡 Hint: Consider the order in which you pick vertices.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a complex graph with multiple vertices and edges, use the greedy algorithm to determine the chromatic number. Discuss whether the result is optimal.
💡 Hint: Draw the graph and apply the algorithm step-by-step.
Question 2
Design a simple graph and explain how you would schedule a round-robin tournament using edge colouring. Calculate the edge chromatic number using the Gupta-Vizing theorem.
💡 Hint: Visualize the tournament as a complete graph.
Challenge and get performance evaluation