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3 cards from this section. Quick, good the night before a test.
What two operations are fundamental in the Union-Find data structure?
Think of what it means to locate and combine elements.
Why do we avoid merging components of the same size in Union-Find?
Consider tree structure and height.
What are the two main operations provided by the Union-Find data structure?
Think about how elements are connected.
True or False: Union-Find can store overlapping components.
Consider the word 'disjoint'.
In a graph of 8 vertices, you perform a sequence of union operations such that the size of components doubles every step until you reach the maximum of 8. Describe how you would implement this using a Union-Find structure and the expected time complexity.
Reflect on how merging affects components overall.
Consider an instance where you need to repeatedly add edges to a graph using Kruskal's algorithm with the Union-Find data structure. Analyze how the choice of the merging method might affect the performance of the algorithm.
Think about how the structure of components influences operational time.
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