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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a Minimum Spanning Tree (MST).
💡 Hint: Consider the concept of connecting all points.
Question 2
Easy
What does Prim's algorithm do?
💡 Hint: Focus on how edges are chosen.
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 Prim's algorithm?
- To find the shortest path
- To find the minimum spanning tree
- To sort vertices
💡 Hint: Think about the graph properties it aims to optimize.
Question 2
True or False: Prim's algorithm can result in different Minimum Spanning Trees if edge weights are duplicated.
- True
- False
💡 Hint: Review how edge selection can vary in such cases.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You are given a graph with weights: (1,2,3), (1,3,4), (2,4,5), (3,4,1). Using Prim's algorithm, outline the steps taken to determine the MST and list the edges selected.
💡 Hint: Remember to always choose the edge with the smallest weight that connects the current tree.
Question 2
In a scenario where edge weights have duplicates, how would you ensure that the same MST is produced in multiple iterations?
💡 Hint: Consider how sorting could help manage your edge choices.
Challenge and get performance evaluation