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4 cards from this section. Quick, good the night before a test.
What is a Minimum Spanning Tree?
Think about connecting points with the smallest lengths.
List the two primary operations of the Union-Find data structure.
Consider what functions we need to manage sets.
What is the key function of the Find operation in Union-Find?
Think about how we track elements in a graph.
True or False: Kruskal's Algorithm ensures that all edges are added to the MST.
Consider how cycles affect the tree structure.
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.
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.
How does path compression affect future Find operations on the same elements?
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