Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Which of the following is TRUE?a)The cost of ...
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Which of the following is TRUE?
- a)The cost of searching an AVL tree is θ(log n) but that of a binary search tree is O(n)
- b)The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ(n log n)
- c)The cost of searching a binary search tree is O(log n) but that of an AVL tree is θ(n)
- d)The cost of searching an AVL tree is θ(n log n) but that of a binary search tree is O(n)
Correct answer is option 'A'. Can you explain this answer?
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Which of the following is TRUE?a)The cost of searching an AVL tree is ...
AVL tree is a balanced tree.
AVL tree's time complexity of searching = θ(logn)
But a binary search tree, may be skewed tree, so in worst case BST searching time = θ(n)
AVL tree's time complexity of searching = θ(logn)
But a binary search tree, may be skewed tree, so in worst case BST searching time = θ(n)
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Which of the following is TRUE?a)The cost of searching an AVL tree is ...
AVL trees and binary search trees are two commonly used data structures for storing and searching data. Both these data structures are binary trees, which means that each node can have at most two child nodes. However, AVL trees are self-balancing binary search trees, while binary search trees may or may not be balanced.
Searching in AVL Trees and Binary Search Trees:
Searching for a value in a binary search tree or an AVL tree involves traversing the tree from the root node to a leaf node that contains the value. The cost of searching a tree is determined by the number of nodes that must be visited to find the value. In a balanced tree, the cost of searching is proportional to the height of the tree.
The Cost of Searching AVL Trees and Binary Search Trees:
The cost of searching an AVL tree is logarithmic, which means that the number of nodes that must be visited to find a value is proportional to the logarithm of the number of nodes in the tree. The cost of searching a binary search tree is also logarithmic if the tree is balanced. However, if the binary search tree is unbalanced, the cost of searching may be linear, which means that the number of nodes that must be visited may be proportional to the number of nodes in the tree.
Therefore, the correct answer is option 'A'. The cost of searching an AVL tree is (log n) but that of a binary search tree is O(n) if the binary search tree is unbalanced. However, if the binary search tree is balanced, the cost of searching is also (log n). AVL trees are always balanced, so the cost of searching is guaranteed to be logarithmic.
Searching in AVL Trees and Binary Search Trees:
Searching for a value in a binary search tree or an AVL tree involves traversing the tree from the root node to a leaf node that contains the value. The cost of searching a tree is determined by the number of nodes that must be visited to find the value. In a balanced tree, the cost of searching is proportional to the height of the tree.
The Cost of Searching AVL Trees and Binary Search Trees:
The cost of searching an AVL tree is logarithmic, which means that the number of nodes that must be visited to find a value is proportional to the logarithm of the number of nodes in the tree. The cost of searching a binary search tree is also logarithmic if the tree is balanced. However, if the binary search tree is unbalanced, the cost of searching may be linear, which means that the number of nodes that must be visited may be proportional to the number of nodes in the tree.
Therefore, the correct answer is option 'A'. The cost of searching an AVL tree is (log n) but that of a binary search tree is O(n) if the binary search tree is unbalanced. However, if the binary search tree is balanced, the cost of searching is also (log n). AVL trees are always balanced, so the cost of searching is guaranteed to be logarithmic.
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Which of the following is TRUE?a)The cost of searching an AVL tree is θ(log n) but that of a binary search tree is O(n)b)The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ(n log n)c)The cost of searching a binary search tree is O(log n) but that of an AVL tree is θ(n)d)The cost of searching an AVL tree is θ(n log n) but that of a binary search tree is O(n)Correct answer is option 'A'. Can you explain this answer?
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Which of the following is TRUE?a)The cost of searching an AVL tree is θ(log n) but that of a binary search tree is O(n)b)The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ(n log n)c)The cost of searching a binary search tree is O(log n) but that of an AVL tree is θ(n)d)The cost of searching an AVL tree is θ(n log n) but that of a binary search tree is O(n)Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 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 of the following is TRUE?a)The cost of searching an AVL tree is θ(log n) but that of a binary search tree is O(n)b)The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ(n log n)c)The cost of searching a binary search tree is O(log n) but that of an AVL tree is θ(n)d)The cost of searching an AVL tree is θ(n log n) but that of a binary search tree is O(n)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is TRUE?a)The cost of searching an AVL tree is θ(log n) but that of a binary search tree is O(n)b)The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ(n log n)c)The cost of searching a binary search tree is O(log n) but that of an AVL tree is θ(n)d)The cost of searching an AVL tree is θ(n log n) but that of a binary search tree is O(n)Correct answer is option 'A'. Can you explain this answer?.
Which of the following is TRUE?a)The cost of searching an AVL tree is θ(log n) but that of a binary search tree is O(n)b)The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ(n log n)c)The cost of searching a binary search tree is O(log n) but that of an AVL tree is θ(n)d)The cost of searching an AVL tree is θ(n log n) but that of a binary search tree is O(n)Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 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 of the following is TRUE?a)The cost of searching an AVL tree is θ(log n) but that of a binary search tree is O(n)b)The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ(n log n)c)The cost of searching a binary search tree is O(log n) but that of an AVL tree is θ(n)d)The cost of searching an AVL tree is θ(n log n) but that of a binary search tree is O(n)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is TRUE?a)The cost of searching an AVL tree is θ(log n) but that of a binary search tree is O(n)b)The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ(n log n)c)The cost of searching a binary search tree is O(log n) but that of an AVL tree is θ(n)d)The cost of searching an AVL tree is θ(n log n) but that of a binary search tree is O(n)Correct answer is option 'A'. Can you explain this answer?.
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