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
What is a spanning tree?
💡 Hint: Think about how trees connect branches without forming loops.
Question 2
Easy
How many edges does a spanning tree have?
💡 Hint: Consider a scenario with three vertices.
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 Prim's algorithm aim to find in a graph?
- Shortest path
- Minimum spanning tree
- Maximum flow
💡 Hint: Think about the trees in graph theory.
Question 2
Prim's algorithm is a type of which algorithm?
- Greedy
- Dynamic Programming
💡 Hint: Recall the definitions of different algorithm types.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a connected graph with vertices A, B, C, D, and edges with weights, determine the minimum spanning tree using Prim's algorithm. Provide a visual representation.
💡 Hint: List out edges by weight to start.
Question 2
Prove that Prim's algorithm will always yield an optimal solution. Reference the minimum separator lemma in your proof.
💡 Hint: Explore the implications of making improper edge selections.
Challenge and get performance evaluation