Practice Initialization (5.4.1) - Kruskal's Algorithm - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What does Kruskal's algorithm primarily aim to find in a graph?
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Think about the tree with the least weight.
Question 2.
What is the base step of Kruskal's algorithm?
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What do we prioritize in edge selection?
3Question 3.
Kruskal's algorithm adds edges in which order?
- Random order
- Ascending order of weights
- Descending order of weights
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Think about how you would minimize a cost.
4Question 4.
True or False: Kruskal's algorithm can form cycles by adding edges.
- True
- False
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What should happen if edges connect the same component?
Question 5.
Given the following edges and their weights: (A-B, 3), (B-C, 5), (C-D, 2), (A-D, 4), and (B-D, 8), use Kruskal's algorithm to find the minimum spanning tree. Explain your steps.
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What should you do first with the weights?
Question 6.
Illustrate how the union-find operations can affect the efficiency of Kruskal's algorithm in a large graph with many disjoint components.
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Consider how this structure changes the tracking of added edges.

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