Minimum Spanning Tree (Kruskal’s, Prim’s) MCQs

By: Prof. Dr. Fazal Rehman | Last updated: May 15, 2025

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1. What is the primary purpose of a Minimum Spanning Tree (MST)?



2. Which algorithm is based on the greedy method and uses edge weights?



3. What is the key data structure used in Kruskal’s algorithm to manage sets of vertices?



4. In Prim’s algorithm, which data structure is typically used to select the next vertex?



5. What is the time complexity of Kruskal’s algorithm using a union-find structure?



6. What is the time complexity of Prim’s algorithm using a binary heap?



7. What is a key characteristic of Kruskal’s algorithm?



8. In Prim’s algorithm, how is the next vertex chosen to add to the MST?



9. Which algorithm is better for dense graphs?



10. What happens if there is a cycle formed while adding edges in Kruskal’s algorithm?



11. Which of the following is true about the Minimum Spanning Tree?



12. What is the role of the union operation in Kruskal’s algorithm?



13. Which algorithm can be more efficient when the graph is represented as an adjacency matrix?



14. What will happen if Kruskal’s algorithm is applied to a graph with only one vertex?



15. Which of the following statements is true about Prim’s algorithm?



16. What type of graphs can both Kruskal’s and Prim’s algorithms be applied to?



17. What is the maximum number of edges in a Minimum Spanning Tree for a graph with V vertices?



18. What does the “cut property” of MST state?



19. Which of the following is a disadvantage of Prim’s algorithm?



20. In Kruskal’s algorithm, how are edges sorted?



21. What is the primary advantage of using a priority queue in Prim’s algorithm?



22. What does the term “MST” stand for?



23. Which of the following can affect the performance of Kruskal’s algorithm?



24. What is the relationship between MST and total edge weight?



25. Which algorithm is more suitable for finding an MST in a graph with many edges?



26. How many times can an edge be added in Kruskal’s algorithm?



27. What will be the result if the graph is not connected when applying Kruskal’s algorithm?



28. What is the main function of the find operation in the union-find structure?



29. Which algorithm would you use if you want to ensure that the MST includes the smallest edge at every step?



30. What is the result of executing Kruskal’s algorithm on a fully connected graph?



31. How does Prim’s algorithm initially choose edges?



32. Which of the following statements about the union-find structure is true?



33. What will happen to the minimum spanning tree if an edge with a smaller weight than those already included is found?



 

 

Data Structures MCQs

Basic Concepts

  1. Introduction to Data Structures
  2. Complexity Analysis MCQs

Linear Data Structures MCQs

  1. Arrays MCQs
  2. Linked Lists MCQs
  3. Stacks MCQs
  4. Queues MCQs

Non-Linear Data Structures MCQs

  1. Trees MCQs
  2. Heaps MCQs
  3. Graphs MCQs

Hashing MCQs MCQs

  1. Hash Tables

Sorting and Searching Algorithms MCQs 

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Miscellaneous

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  2. String Manipulation Algorithms MCQs
  1. Data Structures MCQs 1
  2. Data Structures MCQs 2
  3. Data Structures MCQs 3
  4. Data Structures MCQs 4
  5. Data Structures MCQs 5
  6. Stacks Solved MCQs
  7. Queues MCQs
  8. pointer mcqs
  9. Array MCQs

 

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