B-tree and AVL tree have the same worst case time complexity for insertion and deletion. O True O False
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Step 1: The worst-case time complexity for insertion and deletion in a B-tree is O(log n), where n is the number of nodes in the tree. Show more…
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Binary Search Trees && AVL Trees l. True or false: Every AVL tree is a binary search tree.
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QUESTION 3: Construct an AVL tree by using the following data: 14, 17, 11, 7, 53, 4, 13, 12, 8, 60, 19, 16, 20. NOTE: Show insertions and balance factor for every node inserted. Write every new insertion in a different step. QUESTION 4: Show the Red-Black tree after successfully inserting the keys 42, 39, 33, 14, 20, 9. NOTE: Show insertions and specify color for every node inserted. Write every new insertion in a different step. QUESTION 5: i) Which traversal outputs the data in a sorted order in a BST? ii) What is the worst-case time complexity to delete an element from a BST? iii) What is a BST whose leaves are external nodes? iv) Write all the properties of Red-Black Trees. v) What are the advantages of Tree Data Structures? vi) What is the maximum difference in heights between the leaves of an AVL Tree that is possible? vii) Write the pseudocode for double rotation (Right, Left) in an AVL Tree. viii) Write the algorithm for deleting the element (all cases) in a BST. ix) Why do we prefer Red-Black Trees over AVL Trees? x) What is the worst-case time complexity to perform an operation in Red-Black Trees?
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