6.1 - Introduction to Kruskal's Algorithm
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Practice Questions
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What is a Minimum Spanning Tree?
💡 Hint: Think about connecting points with the smallest lengths.
List the two primary operations of the Union-Find data structure.
💡 Hint: Consider what functions we need to manage sets.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the key function of the Find operation in Union-Find?
💡 Hint: Think about how we track elements in a graph.
True or False: Kruskal's Algorithm ensures that all edges are added to the MST.
💡 Hint: Consider how cycles affect the tree structure.
2 more questions available
Challenge Problems
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Given a weighted graph, apply Kruskal's algorithm step by step to find the MST. Document the edges added and the state of the Union-Find structure after each step.
💡 Hint: Make sure to consider cycle formation with conflicting edges during union operations.
Illustrate how to optimize Union-Find operations using path compression. Show before and after states of the data structure for a series of union operations.
💡 Hint: How does path compression affect future Find operations on the same elements?
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