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3 cards from this section. Quick, good the night before a test.
What is Kruskal's Algorithm used for?
Think about what you need to connect all nodes in a graph.
Why do we sort edges in Kruskal's Algorithm?
Consider the cost of connections.
What is the primary purpose of Kruskal's Algorithm?
Think about what you need to do to connect all points with the least cost.
True or False: Cycle detection is optional in Kruskal's Algorithm.
Consider what happens if cycles occur.
Implement Kruskal's algorithm on a graph with 5 vertices (1 to 5) and the following edges and weights: (1,2,1), (1,3,3), (2,3,2), (2,4,4), (3,5,6). What is the minimum spanning tree?
Follow the steps of edge selection carefully.
Analyze the impact of using an efficient union-find structure versus a basic merging approach in terms of Kruskal’s algorithm performance on a densely connected graph.
Consider how often you need to check for cycles.
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