5.2.3 - Greedy Algorithm Comparison
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Practice Questions
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What does Kruskal's algorithm aim to find?
💡 Hint: Think about the structure of trees and costs.
What is the purpose of sorting edges in Kruskal's algorithm?
💡 Hint: Consider why choosing smaller edges might be beneficial.
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Interactive Quizzes
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What does Kruskal's algorithm prioritize when selecting edges?
💡 Hint: Consider what a greedy algorithm would typically choose.
True or False: In Kruskal's algorithm, it's possible to create cycles when adding edges.
💡 Hint: Think about the cycle prevention mechanism.
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Challenge Problems
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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.
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.
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