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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does Kruskal's algorithm aim to find?
💡 Hint: Think about the structure of trees and costs.
Question 2
Easy
What is the purpose of sorting edges in Kruskal's algorithm?
💡 Hint: Consider why choosing smaller edges might be beneficial.
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 Kruskal's algorithm prioritize when selecting edges?
- Random edges
- Largest edges first
- Smallest edges first
💡 Hint: Consider what a greedy algorithm would typically choose.
Question 2
True or False: In Kruskal's algorithm, it's possible to create cycles when adding edges.
- True
- False
💡 Hint: Think about the cycle prevention mechanism.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a graph with vertices A, B, C, D, E and the following edges: {(A, B, 3), (B, C, 1), (C, D, 4), (A, D, 2), (B, D, 5), (D, E, 2)}. Apply Kruskal's algorithm to find the minimum spanning tree.
💡 Hint: Draw the edges and keep track of added edges to visualize cycles.
Question 2
Create a dense random graph with at least 10 vertices and 15 edges. Then use both Prim's and Kruskal's to determine the minimum spanning tree and compare results.
💡 Hint: Compare the number of edges included by each algorithm.
Challenge and get performance evaluation