Given a set of 10 letters , D, S, A, E, T, C, G, M, W }, answer the following: a) With the given letters above, we can construct a binary search tree (based on alphabetical ordering) and the sequence < C, D, A, G, M, I, W, T, S, E > is obtained by post-order traversing this tree. Construct and draw such a tree. NO steps of construction are required. b) The letter S is first removed from the binary search tree determined above, followed by inserting a new letter R. Draw the updated binary search tree after removal and insertion. Choose the logical predecessor (not the successor) of the removing node if necessary. c) Determine and list the sequence of elements obtained by pre-order traversing the updated binary search tree after removal and insertion above. No steps are required. d) Suppose we are given the first six elements < I, D, S, A, E, T > and their frequencies of occurrence < 5, 6, 2, 4, 5, 2 >, construct and draw the Huffman Tree based on these elements above and their frequencies of occurrence as their weights. Clearly indicate the keys, the bit value in each edge, and the weight of each node in the tree as in our course material. NO steps of construction are required.

Given a set of 10 letters , D, S, A, E, T, C, G, M, W }, answer the following: a) With the given letters above, we can construct a binary search tree (based on alphabetical ordering) and the sequence < C, D, A, G, M, I, W, T, S, E > is obtained by post-order traversing this tree. Construct and draw such a tree. NO steps of construction are required. b) The letter S is first removed from the binary search tree determined above, followed by inserting a new letter R. Draw the updated binary search tree after removal and insertion. Choose the logical predecessor (not the successor) of the removing node if necessary. c) Determine and list the sequence of elements obtained by pre-order traversing the updated binary search tree after removal and insertion above. No steps are required. d) Suppose we are given the first six elements < I, D, S, A, E, T > and their frequencies of occurrence < 5, 6, 2, 4, 5, 2 >, construct and draw the Huffman Tree based on these elements above and their frequencies of occurrence as their weights. Clearly indicate the keys, the bit value in each edge, and the weight of each node in the tree as in our course material. NO steps of construction are required.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

Can help in Java? Qustion : Using Binary search tree write a Java program to Insert and print the element in (in-Order traversal ), then search the elements (a and z) in the tree… provided that user enters the values.
BST - Binary Search Tree - implement a BSTNode ADT with a data attribute and two pointer attributes, one for the left child and the other for the right child. Implement the usual getters/setters for these attributes -implement a BST as a link-based ADT whose data will be Dollar objects - the data will be inserted based on the actual money value of your Dollar objects as a combination of the whole value and fractional value attributes. - BST, implement the four traversal methods as well as methods for the usual search, insert, delete, print, count, isEmpty, empty operations and any other needed. - BST - Binary Search Tree - implement a BSTNode ADT with a data attribute and two-pointer attributes, one for the left child and the other for the right child. Implement the usual getters/setters for these attributes -implement a BST as a link-based ADT whose data will be Dollar objects - the data will be inserted based on the actual money value of your Dollar objects as a combination of the…
c. Given 2 Arrays of Inorder and preorder traversal. Inorder sequence: {D B E A F C} Preorder sequence: {A B D E C F} Construct a tree and print the Postorder traversal.
Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follow: //PICTURE// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Count the height of the tree.
Suppose an array is given A = [A, C, E, F, K, L, M, N, Y, Z] a. Draw a complete BINARY tree from array A. b. Write preorder, inorder, and postorder traversal for the created complete binary tree. c. Draw a complete TERNARY tree from array A. d. Write preorder and postorder traversal for the created complete ternary. Draw the adjacency matrix and adjacency list for the complete ternary tree/graph. [You must consider the tree direction from top to bottom when drawing adjacency matrix and list]
Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follows: //check pic// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Count the height of the tree. Hints: Header file typedef char ElemType; typedef struct node//define the type of binary tree node { }BTnode; Source file #include <stdio.h> #include <stdlib.h> #include "tree.h" BTnode * createTree()//create the binary tree，return the root { BTnode *tnode;// tnode is the root char elem; ;//input the character //if the input is a space，set the pointer as NULL Else// if the input is not a space，generate the binary node and create its left…
Please complete Programming Exercise 4, from pages 1402, from chapter 19 from your textbook. Write a function, singleParent, that returns the number of nodes in abinary tree that have only one child. Add this function to the classbinaryTreeType and create a program to test this function. (Note: Firstcreate a binary search tree.)
: You are implementing a binary search tree class from scratch, which, in additionto insert, find, and delete, has a method getRandomNode() which returns a random nodefrom the tree. All nodes should be equally likely to be chosen. Design and implement an algorithmfor getRandomNode, and explain how you would implement the rest of the methods.
In C++ Please Write a struct Student that has member variables: (string) first name, (int) age and (double) fee. Implement the Splay tree whose each node has data component an instance of the struct Student. Comparison of the nodes must be made with respect to age. Write the following functions along with necessary functions to: (i) search elements in the tree; (ii) insert nodes in the tree; (iii) print the tree in pre-order traversal fashion; (iv) delete a node from the tree; Implement the following (you can hardcode the inputs): (i) insert seven elements in the tree: (Kabeer, 19, 35.17), (John, 21, 31.65), (Paul, 25, 33.43), (Kaur, 18, 34.93), (Patel, 23, 36.37), (Alexander, 22, 33.78), (Ramesh, 27, 34.46); (ii) print the tree in pre-order fashion; (iii) delete an element from the tree (John, 21, 31.65); (iv) search an element (Alexander, 22, 33.78) in the tree; (v) print the tree in pre-order traversal fashion;
: A binary search tree was created by traversing through an array from left to rightand inserting each element. Given a binary search tree with distinct elements, print all possiblearrays that could have led to this tree.EXAMPLEInput: 1<-2->3Output: {2, 1, 3}, {2, 3, 1}
Problem 3 A binary search tree is implemented in Tree.java. Add a method printLeaves() to the class Tree, which prints all leaves of the tree from right to left. You may add any auxiliary private methods if you need.
Form a binary search tree w/o repeats from the following sentence: Fear of a name increases fear of the thing itself. What would be the inorder traversal of this tree? (write your answer with a comma between words and NO spaces.)