Practice Names of Components - 6.4 | 6. Union-Find Data Structure | Design & Analysis of Algorithms - Vol 2
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6.4 - Names of Components

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What two operations are fundamental in the Union-Find data structure?

💡 Hint: Think of what it means to locate and combine elements.

Question 2

Easy

Why do we avoid merging components of the same size in Union-Find?

💡 Hint: Consider tree structure and height.

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 are the two main operations provided by the Union-Find data structure?

  • Add and Remove
  • Find and Union
  • Sort and Search

💡 Hint: Think about how elements are connected.

Question 2

True or False: Union-Find can store overlapping components.

  • True
  • False

💡 Hint: Consider the word 'disjoint'.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a graph of 8 vertices, you perform a sequence of union operations such that the size of components doubles every step until you reach the maximum of 8. Describe how you would implement this using a Union-Find structure and the expected time complexity.

💡 Hint: Reflect on how merging affects components overall.

Question 2

Consider an instance where you need to repeatedly add edges to a graph using Kruskal's algorithm with the Union-Find data structure. Analyze how the choice of the merging method might affect the performance of the algorithm.

💡 Hint: Think about how the structure of components influences operational time.

Challenge and get performance evaluation