5.2.4 - Minimum Separator Lemma
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Practice Questions
Test your understanding with targeted questions
What is Kruskal's algorithm used for?
💡 Hint: Think about what a spanning tree does.
What does the Minimum Separator Lemma state?
💡 Hint: Consider how edges connect different parts of a graph.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Kruskal's algorithm primarily do?
💡 Hint: Think about the algorithm's purpose.
True or False: The Minimum Separator Lemma states that any edge can be part of a minimum spanning tree.
💡 Hint: Consider what the lemma specifically entails.
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Challenge Problems
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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.
💡 Hint: Focus on the smallest weights first.
Design a graph example where the Minimum Separator Lemma does not apply and explain.
💡 Hint: Think about the connectivity condition for the lemma.
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