Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Which one of the following statements is fals...
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Which one of the following statements is false?
- a)Optimal binary search tree construction can be performed efficiently using dynamic programming.
- b)Breadth-first search cannot be used to find connected components of a graph.
- c)Given the prefix and postfix walks over a binary tree, the binary tree cannot be uniquely constructed.
- d)Depth-first search can be used to find connected components of a graph.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which one of the following statements is false?a)Optimal binary search...
Connected components of a graph can be computed in linear time by using either breadth- first search or depth-first search.
Most Upvoted Answer
Which one of the following statements is false?a)Optimal binary search...
Understanding the Statements
In the question, we have four statements about algorithms and data structures in computer science. Let's analyze why option B is false.
Statement A: Optimal Binary Search Tree Construction
- This statement is true.
- Optimal binary search tree construction can indeed be achieved using dynamic programming techniques, allowing for efficient building of the tree based on access frequencies of the keys.
Statement B: Breadth-First Search and Connected Components
- This statement is false.
- Breadth-First Search (BFS) can be effectively used to find connected components in a graph. By starting from an unvisited node and exploring all reachable nodes, BFS will traverse all nodes in a connected component before moving to another component.
Statement C: Prefix and Postfix Walks
- This statement is true.
- Given only the prefix (preorder) and postfix (postorder) traversals, it is not possible to uniquely reconstruct a binary tree. This is because multiple distinct trees can yield the same prefix and postfix sequences.
Statement D: Depth-First Search for Connected Components
- This statement is true.
- Depth-First Search (DFS) is another algorithm that can be used to find connected components in a graph by visiting nodes and marking them as visited, similar to BFS.
Conclusion
The false statement is option B because BFS can indeed be used to find connected components in a graph. Both BFS and DFS are valid approaches for this purpose, making option B incorrect.
In the question, we have four statements about algorithms and data structures in computer science. Let's analyze why option B is false.
Statement A: Optimal Binary Search Tree Construction
- This statement is true.
- Optimal binary search tree construction can indeed be achieved using dynamic programming techniques, allowing for efficient building of the tree based on access frequencies of the keys.
Statement B: Breadth-First Search and Connected Components
- This statement is false.
- Breadth-First Search (BFS) can be effectively used to find connected components in a graph. By starting from an unvisited node and exploring all reachable nodes, BFS will traverse all nodes in a connected component before moving to another component.
Statement C: Prefix and Postfix Walks
- This statement is true.
- Given only the prefix (preorder) and postfix (postorder) traversals, it is not possible to uniquely reconstruct a binary tree. This is because multiple distinct trees can yield the same prefix and postfix sequences.
Statement D: Depth-First Search for Connected Components
- This statement is true.
- Depth-First Search (DFS) is another algorithm that can be used to find connected components in a graph by visiting nodes and marking them as visited, similar to BFS.
Conclusion
The false statement is option B because BFS can indeed be used to find connected components in a graph. Both BFS and DFS are valid approaches for this purpose, making option B incorrect.
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Which one of the following statements is false?a)Optimal binary search tree construction can be performed efficiently using dynamic programming.b)Breadth-first search cannot be used to find connected components of a graph.c)Given the prefix and postfix walks over a binary tree, the binary tree cannot be uniquely constructed.d)Depth-first search can be used to find connected components of a graph.Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which one of the following statements is false?a)Optimal binary search tree construction can be performed efficiently using dynamic programming.b)Breadth-first search cannot be used to find connected components of a graph.c)Given the prefix and postfix walks over a binary tree, the binary tree cannot be uniquely constructed.d)Depth-first search can be used to find connected components of a graph.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is false?a)Optimal binary search tree construction can be performed efficiently using dynamic programming.b)Breadth-first search cannot be used to find connected components of a graph.c)Given the prefix and postfix walks over a binary tree, the binary tree cannot be uniquely constructed.d)Depth-first search can be used to find connected components of a graph.Correct answer is option 'B'. Can you explain this answer?.
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