Practice Using Union-Find in Kruskal's Algorithm - 6.10 | 6. Union-Find Data Structure | Design & Analysis of Algorithms - Vol 2
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6.10 - Using Union-Find in Kruskal's Algorithm

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the two main operations of the Union-Find data structure?

💡 Hint: Think about what you do to find out which group an element belongs to.

Question 2

Easy

In Kruskal's algorithm, what do we ensure when adding an edge?

💡 Hint: Consider the relationship of the vertices in the edge.

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 the 'find' operation do in Union-Find?

  • Merges two sets
  • Finds the component of a set
  • Counts the number of elements

💡 Hint: Think about how you verify if two elements are in the same group.

Question 2

True or False: In Kruskal's algorithm, we can add an edge if it creates a cycle.

  • True
  • False

💡 Hint: Consider what happens when you connect nodes that are already connected.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a connected graph with 6 vertices and 7 edges, use Union-Find to apply Kruskal's algorithm to find the MST. List the edges included and those excluded from the MST.

💡 Hint: Make sure to track which nodes are connected to avoid cycles.

Question 2

Consider a scenario where you have to perform a sequence of union operations. Analyze how the structure of your Union-Find will change over these operations, and explain the final configuration.

💡 Hint: Focus on how merging smaller into larger affects the overall structure.

Challenge and get performance evaluation