EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Consider a traversal of a binary tree. Suppose that visiting a node means to
simply display the data in the node. What are the results of each of the following
traversals of the tree in the following figures according to:
a. Pre-order technique
b. Post-order technique
c. In-order technique
A
B
D
E
F
G
H
Given a binary tree, let an H-node be defined as a non-leaf node in the tree whose value is greater than or equal to its children nodes (1 or 2 children).
Write a function, countHNodes(), that returns the number of H-nodes in a binary tree (pointed by p) using recursion.
The BST remove algorithm traverses the tree from the root to find the node to remove. When the node being removed has 2 children, the node's successor is found and a recursive call is made. One node is visited per level, and in the worst-case scenario, the tree is traversed twice from the root to a leaf. A BST with N nodes has at least log2N levels and at most N levels. Therefore, the runtime complexity of removal is best case O(logN) and worst case O(N). Two pointers are used to traverse the tree during removal. When the node being removed has 2 children, a third pointer and a copy of one node's data are also used, and one recursive call is made. Thus, the space complexity of removal is always O(1)."
I have to explain this clearly! and the advantages of the BST algorithim
Chapter 6 Solutions
EBK DATA STRUCTURES AND ALGORITHMS IN C
Knowledge Booster
Similar questions
- For a binary tree, the pre-order traversal is H D A C B G F E the in-order traversal is: A D C B H F E G (A) Draw this binary tree (B) Give the post-order traversalarrow_forwardDraw a single tree whose inorder traversal is and whose postorder traversal is f, a, g, b, h, d, i, c, j, e f.g, a, h, i, d. j, e, c, barrow_forwardIf n1, n, ., nk is a sequence of nodes in the tree such that n; is the parent of n41 for 1arrow_forwardDevelop a function that can determine in a short amount of time if any two nodes, u and v, in a tree T with s as the root node, are ancestors or descendants of each other?arrow_forwardGiven a binary tree T and a source node s in it, provide the pseudocode for an iterative algorithm to traverse T starting from s using breadth-first traversal, also known as level-order traversal. Each node in T contains an integer key that can be accessed. Each time a node is visited, its key should be printed. Note: You do not have to implement your algorithm.arrow_forwardExamine a traversal of a binary tree. Let's say that visiting a node means to display the data in the node. What are the result of each of the following traversals of the tree included? It is preorder, postorder, inorder or level order?arrow_forwardYou are given both the Post-order traversal and an in-order traversal for aunique binary tree.Post-order traversal: F A C D B EIn-order traversal: A F E C B D • Draw the unique tree defined by those traversals.• Write down the corresponding pre-order traversal for that tree.arrow_forward2. Create a binary tree for which two given lists of n labels 0, 1,..., n - 1 are formed through the tree's inorder and postorder traversals. Additionally, your method should identify inputs for which there is no solution to the issue.arrow_forwardCreate 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.arrow_forwardSuppose you are given an undirected graph G and a start node s. Your task is to design an algorithm that returns FALSE if G is not a tree and returns TRUE and labels each vertex v with the number of nodes in the subtree rooted at v if G is a tree. Note that the orientation of edges is implicit given the start node. Hint: Modify DFS to solve the problem.arrow_forwardGiven the pre-order traversal and in-order traversal of a tree, reconstruct the tree.Pre: Y O C P H I R G TIn: C O P Y R I G H Tarrow_forwardThe result of Prim's method is always a Minimum Spanning Tree, but why is that?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education