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Which of the following is true about AVL and Red Black Trees?
- a)In AVL tree insert() operation, we first traverse from root to newly inserted node and then from newly inserted node to root. While in Red Black tree insert(), we only traverse once from root to newly inserted node.
- b)In both AVL and Red Black insert operations, we traverse only once from root to newly inserted node,
- c)In both AVL and Red Black insert operations, we traverse twiceL first traverse root to newly inserted node and then from newly inserted node to root.
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
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Which of the following is true about AVL and Red Black Trees?a)In AVL ...
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Which of the following is true about AVL and Red Black Trees?a)In AVL ...
Introduction:
Both AVL trees and Red-Black trees are self-balancing binary search trees, meaning they automatically adjust their structure to maintain a balanced tree. While they have similarities in terms of functionality, there are differences in their implementation and the number of traversals required in the insert operation.
Explanation:
The correct answer is option 'A', which states that in the AVL tree insert() operation, we first traverse from the root to the newly inserted node and then from the newly inserted node to the root. In contrast, the Red-Black tree insert() operation only requires a single traversal from the root to the newly inserted node.
AVL Tree:
- In an AVL tree, after inserting a new node, the tree may become unbalanced, meaning the heights of the left and right subtrees differ by more than 1.
- To rebalance the tree, we need to perform rotations on the nodes along the path from the newly inserted node to the root.
- The rotations may propagate up to the root, requiring a second traversal from the newly inserted node to the root.
- This ensures that the AVL tree maintains its balance property, where the heights of the left and right subtrees differ by at most 1.
Red-Black Tree:
- In a Red-Black tree, after inserting a new node, the tree may also become unbalanced, violating one or more of the Red-Black tree properties.
- However, the rebalancing operation in a Red-Black tree is different from the AVL tree.
- Instead of performing rotations, we perform color changes and rotations to restore the Red-Black tree properties.
- This rebalancing process does not require a second traversal from the newly inserted node to the root.
- The color changes and rotations are done locally, ensuring that the Red-Black tree remains balanced and satisfies its properties.
Conclusion:
In summary, the correct statement is that in the AVL tree insert operation, we need to traverse twice - first from the root to the newly inserted node and then from the newly inserted node to the root. On the other hand, in the Red-Black tree insert operation, we only need to traverse once, from the root to the newly inserted node.
Both AVL trees and Red-Black trees are self-balancing binary search trees, meaning they automatically adjust their structure to maintain a balanced tree. While they have similarities in terms of functionality, there are differences in their implementation and the number of traversals required in the insert operation.
Explanation:
The correct answer is option 'A', which states that in the AVL tree insert() operation, we first traverse from the root to the newly inserted node and then from the newly inserted node to the root. In contrast, the Red-Black tree insert() operation only requires a single traversal from the root to the newly inserted node.
AVL Tree:
- In an AVL tree, after inserting a new node, the tree may become unbalanced, meaning the heights of the left and right subtrees differ by more than 1.
- To rebalance the tree, we need to perform rotations on the nodes along the path from the newly inserted node to the root.
- The rotations may propagate up to the root, requiring a second traversal from the newly inserted node to the root.
- This ensures that the AVL tree maintains its balance property, where the heights of the left and right subtrees differ by at most 1.
Red-Black Tree:
- In a Red-Black tree, after inserting a new node, the tree may also become unbalanced, violating one or more of the Red-Black tree properties.
- However, the rebalancing operation in a Red-Black tree is different from the AVL tree.
- Instead of performing rotations, we perform color changes and rotations to restore the Red-Black tree properties.
- This rebalancing process does not require a second traversal from the newly inserted node to the root.
- The color changes and rotations are done locally, ensuring that the Red-Black tree remains balanced and satisfies its properties.
Conclusion:
In summary, the correct statement is that in the AVL tree insert operation, we need to traverse twice - first from the root to the newly inserted node and then from the newly inserted node to the root. On the other hand, in the Red-Black tree insert operation, we only need to traverse once, from the root to the newly inserted node.
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Which of the following is true about AVL and Red Black Trees?a)In AVL tree insert() operation, we first traverse from root to newly inserted node and then from newly inserted node to root. While in Red Black tree insert(), we only traverse once from root to newly inserted node.b)In both AVL and Red Black insert operations, we traverse only once from root to newly inserted node,c)In both AVL and Red Black insert operations, we traverse twiceL first traverse root to newly inserted node and then from newly inserted node to root.d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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Which of the following is true about AVL and Red Black Trees?a)In AVL tree insert() operation, we first traverse from root to newly inserted node and then from newly inserted node to root. While in Red Black tree insert(), we only traverse once from root to newly inserted node.b)In both AVL and Red Black insert operations, we traverse only once from root to newly inserted node,c)In both AVL and Red Black insert operations, we traverse twiceL first traverse root to newly inserted node and then from newly inserted node to root.d)None of the aboveCorrect 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 about AVL and Red Black Trees?a)In AVL tree insert() operation, we first traverse from root to newly inserted node and then from newly inserted node to root. While in Red Black tree insert(), we only traverse once from root to newly inserted node.b)In both AVL and Red Black insert operations, we traverse only once from root to newly inserted node,c)In both AVL and Red Black insert operations, we traverse twiceL first traverse root to newly inserted node and then from newly inserted node to root.d)None of the aboveCorrect 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 about AVL and Red Black Trees?a)In AVL tree insert() operation, we first traverse from root to newly inserted node and then from newly inserted node to root. While in Red Black tree insert(), we only traverse once from root to newly inserted node.b)In both AVL and Red Black insert operations, we traverse only once from root to newly inserted node,c)In both AVL and Red Black insert operations, we traverse twiceL first traverse root to newly inserted node and then from newly inserted node to root.d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
Which of the following is true about AVL and Red Black Trees?a)In AVL tree insert() operation, we first traverse from root to newly inserted node and then from newly inserted node to root. While in Red Black tree insert(), we only traverse once from root to newly inserted node.b)In both AVL and Red Black insert operations, we traverse only once from root to newly inserted node,c)In both AVL and Red Black insert operations, we traverse twiceL first traverse root to newly inserted node and then from newly inserted node to root.d)None of the aboveCorrect 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 about AVL and Red Black Trees?a)In AVL tree insert() operation, we first traverse from root to newly inserted node and then from newly inserted node to root. While in Red Black tree insert(), we only traverse once from root to newly inserted node.b)In both AVL and Red Black insert operations, we traverse only once from root to newly inserted node,c)In both AVL and Red Black insert operations, we traverse twiceL first traverse root to newly inserted node and then from newly inserted node to root.d)None of the aboveCorrect 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 about AVL and Red Black Trees?a)In AVL tree insert() operation, we first traverse from root to newly inserted node and then from newly inserted node to root. While in Red Black tree insert(), we only traverse once from root to newly inserted node.b)In both AVL and Red Black insert operations, we traverse only once from root to newly inserted node,c)In both AVL and Red Black insert operations, we traverse twiceL first traverse root to newly inserted node and then from newly inserted node to root.d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
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