AVL Tree Assignment Help

AVL Tree

An AVL tree is a self-balancing binary search tree and it was the first such data structure to be invented.

In an AVL tree, the heights of the two child subtrees of any node differ by at most one. Lookup, insertion and deletion all take O(log n) time in both the average and worst cases, where n is the number of nodes in the tree prior to the operation. Insertions and deletions may require the tree to be rebalanced by one or more tree rotations.

Fig: Balance requirement for an AVL tree: the left and right sub-trees differ by at most 1 in height.

AVL Tree

• Inputs: Only positive, single to double digit integers are allowed. Incorrect types of data are ignored by the applet.
• Insert: Insert an integer in the binary tree. Node comparisons will appear in the bottom panel of the applet.
• Search: Search for an integer in the binary tree. Node comparisons will appear in the bottom panel of the applet, including whether or not the requested node exists within the binary tree.
• Delete: Delete an integer in the binary tree. Node comparisons will appear in the bottom panel of the applet, including whether or not the requested node can be deleted from the binary tree.

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