Practice Minimum Separator Lemma (5.2.4) - Kruskal's Algorithm - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What is Kruskal's algorithm used for?
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Think about what a spanning tree does.
Question 2.
What does the Minimum Separator Lemma state?
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Consider how edges connect different parts of a graph.
3Question 3.
What does Kruskal's algorithm primarily do?
- Finds shortest paths
- Finds minimum spanning trees
- Counts edges
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Think about the algorithm's purpose.
4Question 4.
True or False: The Minimum Separator Lemma states that any edge can be part of a minimum spanning tree.
- True
- False
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Consider what the lemma specifically entails.
Question 5.
Given a graph with vertices A, B, C, and D with edges AB (weight 2), AC (weight 1), and AD (weight 4), apply Kruskal's algorithm and explain your choices.
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Focus on the smallest weights first.
Question 6.
Design a graph example where the Minimum Separator Lemma does not apply and explain.
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Think about the connectivity condition for the lemma.

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