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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define vertex colouring in the context of graph theory.
💡 Hint: Think about adjacent vertices.
Question 2
Easy
What does the vertex chromatic number represent?
💡 Hint: Consider what the minimum means.
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 vertex colouring?
- Assigning colors to edges in a graph
- The process of assigning colors to vertices in a graph
- The number of colors in a graph
💡 Hint: Think about where colors are assigned.
Question 2
True or False: The vertex chromatic number is always equal to the number of vertices in the graph.
- True
- False
💡 Hint: Consider when you might need fewer colors.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a graph with 12 vertices and a maximum degree of 6, create a set of vertex color assignments that achieves optimal colouring for a scheduling scenario.
💡 Hint: Start from the highest degree vertices down.
Question 2
Demonstrate a scenario in which the greedy coloring algorithm fails to produce an optimal number of colors. Construct a small graph example for clarity.
💡 Hint: Think about conflicting edges.
Challenge and get performance evaluation