6.10 - Using Union-Find in Kruskal's Algorithm
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Practice Questions
Test your understanding with targeted questions
What are the two main operations of the Union-Find data structure?
💡 Hint: Think about what you do to find out which group an element belongs to.
In Kruskal's algorithm, what do we ensure when adding an edge?
💡 Hint: Consider the relationship of the vertices in the edge.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the 'find' operation do in Union-Find?
💡 Hint: Think about how you verify if two elements are in the same group.
True or False: In Kruskal's algorithm, we can add an edge if it creates a cycle.
💡 Hint: Consider what happens when you connect nodes that are already connected.
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Challenge Problems
Push your limits with advanced challenges
Given a connected graph with 6 vertices and 7 edges, use Union-Find to apply Kruskal's algorithm to find the MST. List the edges included and those excluded from the MST.
💡 Hint: Make sure to track which nodes are connected to avoid cycles.
Consider a scenario where you have to perform a sequence of union operations. Analyze how the structure of your Union-Find will change over these operations, and explain the final configuration.
💡 Hint: Focus on how merging smaller into larger affects the overall structure.
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