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4 cards from this section. Quick, good the night before a test.
What are the three main operations of the Union-Find data structure?
Think about the roles of initializing, merging, and checking components.
What does path compression do?
Consider how pointers rearrange after find operations.
What is the time complexity of the union operation using pointers?
Consider how many steps are taken during the operation.
True or False: The Find operation requires O(log n) time in the Union-Find structure.
Think of tree paths during find operations.
Given a Union-Find structure with n elements and m union operations, describe the expected time complexity for m find operations, including the impact of path compression.
Consider the efficiency gained by repeatedly flattening the tree.
Imagine you have a scenario where many union operations result in a deep tree structure. Describe how using path compression can alter the time complexity of subsequent find operations.
Think about what happens to the height of the tree after each find.
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