Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define vertex colouring in your own words.
💡 Hint: Remember how colours relate to adjacency.
Question 2
Easy
What does the chromatic number represent?
💡 Hint: Think about colouring requirements and their limits.
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 does vertex colouring ensure in a graph?
- It ensures adjacent vertices can share the same colour
- It ensures adjacent vertices have different colours
- It ensures less than half the vertices are coloured
💡 Hint: Think about the goal of preventing shared colours among adjacent nodes.
Question 2
Is the greedy algorithm guaranteed to produce an optimal colouring?
- True
- False
💡 Hint: Reflect on how the order affects the results.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a graph with specific vertices and edges, provide at least two different vertex sequences and demonstrate how each affects the chromatic number.
💡 Hint: Try to visualize the graph and explore various configurations.
Question 2
Create a graph with a maximum degree of 3 and demonstrate the relationship between its chromatic number and its maximum degree.
💡 Hint: Sketch out different valid colourings to support your finding.
Challenge and get performance evaluation