Practice Minimum Separator Lemma - 5.2.4 | 5. Kruskal's Algorithm | Design & Analysis of Algorithms - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is Kruskal's algorithm used for?

💡 Hint: Think about what a spanning tree does.

Question 2

Easy

What does the Minimum Separator Lemma state?

💡 Hint: Consider how edges connect different parts of a graph.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does Kruskal's algorithm primarily do?

  • Finds shortest paths
  • Finds minimum spanning trees
  • Counts edges

💡 Hint: Think about the algorithm's purpose.

Question 2

True or False: The Minimum Separator Lemma states that any edge can be part of a minimum spanning tree.

  • True
  • False

💡 Hint: Consider what the lemma specifically entails.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

Design a graph example where the Minimum Separator Lemma does not apply and explain.

💡 Hint: Think about the connectivity condition for the lemma.

Challenge and get performance evaluation