Reference no: EM133215041
Assignment - Adding and Removal of Nodes Questions
A binary search tree (BST) is an ordered or sorted binary tree that allows for fast searching, adding and removal of nodes.
(a) Draw the resulting BST if the following numbers are inserted in order into an empty BST:
4, 2, 5, 7, 10, 3, 6, 8
(b) Depict the result of deleting the node containing 7 from the tree you have created in part (a).
(c) If the same set of numbers (4, 2, 5, 7, 10, 3, 6, 8) is inserted into a linked list, explain whether a search on the linked list or a search on the BST in (a) is more efficient (in terms of searches and order of searches) for the target 3.
Note: Include the order of searches eg. Nodes visited in order of 1, 2, etc.
(d) Give an example of a worst-case scenario by showing a diagram of insertion of 5 numbers into a BST.
(e) When a pre-order traversal is performed on a binary search tree A, the order of the nodes visited is G - E - C - F - K - H - J
When an in-order traversal is performed on the binary search tree A, the order of the visited nodes is C - E - F - G - H - J - K
Reconstruct the binary search tree based on the given information above.
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