Which of the following is not true about binary search trees? a)A binary search tree can not be empty.

A full binary tree of height h has n=2h+1-1 nodes level 0: 1, level 1: 2, level 2: 22=4 level h: 2h Total nodes: n=2h+1-1 30 10 8 18 28 40 9 15 22 29 35 7 24 12 32 6. 14 23 27 13 20

Which applications of binary search trees benefit most from pre-order traversal?

Given the following keys T, Y, V, Q, F, B, M. N, W, G, C, A, P, R, L. 1. Assuming the keys are inputted in that order, build a binary search tree according to the input: 2. Use an array to implement the tree you built and show the contents of the array: 3. Assuming the keys are all available at once and you can change the order if necessary, build a balanced binary search tree:

The purpose of this assignment is to practice (JAVA): Implement a binary search tree structure Demonstrate tree traversals Analyze and compare algorithms for efficiency using Big-O notation For this project, you will implement a binary search tree and use it to store a large text file (JAVA). Your program should read text from a file and insert each word in a binary search tree. Do not store duplicate text. Once the tree is populated, print the contents of the tree using an in-order traversal. Next, allow the user to enter words to search for. For each word entered, your program should report the number of elements inspected and whether or not the word was located. Next, allow the user to enter words to remove from the tree. After each removal, print the contents of the tree. Provide an analysis of your remove and search algorithms using Big-O notation. Be sure to provide justification for your claims. (Look at image attached for sample run)

Q5_2\ Draw the binary search tree that would result from the insertion of the following integer keys: 14   58   18    10    99   52     33    69     47     17.

How may the advantages of pre-order traversal in binary search trees be maximised?

All of the following are true EXCEPT: An empty tree is defined to have a height of 1. The depth of a node p is the number of ancestors of p, other than p itself. The height of a tree to be equal to the maximum of the depths of its nodes (or zero, if the tree is empty). The height of a node p in a tree T: • If p is a leaf, then the height of p is 0. • Otherwise, the height of p is one more than the maximum of the heights of p's children.