1 14 84 43 13 163397 64 99 72 53 Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it.

Slides:



Advertisements
Similar presentations
Postorder traversal - Ed. 2. and 3.: Chapter 6 – - Ed. 4.: Chapter 7 -
Advertisements

CS Fall 2012, Lab 08 Haohan Zhu. Boston University Slideshow Title Goes Here CS Fall 2012, Lab /17/2015 Tree - Data Structure  Basic.
SUNY Oneonta Data Structures and Algorithms Visualization Teaching Materials Generation Group Binary Search Tree A running demonstration of binary search.
1 Tree Traversal Section 9.3 Longin Jan Latecki Temple University Based on slides by Paul Tymann, Andrew Watkins, and J. van Helden.
Breadth-First and Depth-First Search
©Brooks/Cole, 2003 Chapter 12 Abstract Data Type.
1 Introduction to Binary Trees. 2 Background All data structures examined so far are linear data structures. Each element in a linear data structure has.
Binary Trees 2 Prof. Sin-Min Lee Department of Computer Science.
Fall 2007CS 2251 Iterators and Tree Traversals. Fall 2007CS 2252 Binary Trees In a binary tree, each node has at most two subtrees A set of nodes T is.
CS 104 Introduction to Computer Science and Graphics Problems Data Structure & Algorithms (4) Data Structures 11/18/2008 Yang Song.
Liang, Introduction to Java Programming, Sixth Edition, (c) 2007 Pearson Education, Inc. All rights reserved L12 (Chapter 20) Lists, Stacks,
Transforming Infix to Postfix
The Potential Method. Deque with stacks size=7 13 S1S1 S2S2 push(x,D): push(x,S 1 ) push(2,D)
Tree Traversals A traversal is a way of walking the tree structure Some common traversals: –pre-order traversal –in-order traversal –post-order traversal.
Tree Traversal. Traversal Algorithms preorder inorder postorder.
) Number ) Operator ) Number (7 + (3 * (4 + 4) * 2 * 2 * (1 + 2) ) * 3) OperatorOperands Stacks Using Two Stacks to Evaluate a Simple Arithmetic Expression.
Three Types of Depth-First Search Alyce Brady CS 470: Data Structures CS 510: Computer Algorithms.
Data Structures Using C++1 Chapter 11 Binary Trees.
Data Structures Using C++1 Chapter 11 Binary Trees.
ECE 250 Algorithms and Data Structures Douglas Wilhelm Harder, M.Math. LEL Department of Electrical and Computer Engineering University of Waterloo Waterloo,
Binary Trees. Node structure Data A data field and two pointers, left and right.
1 Chapter 18 Trees Objective To learn general trees and recursion binary trees and recursion tree traversal.
Traversing a Binary Tree 10/23/ Traversing Binary Tree There are 3 ways of traversing a binary tree T having root R. 1. Preorder Traversing Steps:
Chapter 19: Binary Trees. Objectives In this chapter, you will: – Learn about binary trees – Explore various binary tree traversal algorithms – Organize.
1 Trees A tree is a data structure used to represent different kinds of data and help solve a number of algorithmic problems Game trees (i.e., chess ),
Chapter 19: Binary Trees Java Programming: Program Design Including Data Structures Program Design Including Data Structures.
ACM/JETT Workshop - August 4-5, 2005 Using Visualization Tools To Teach Data Structures and Algorithms Java applets by Dr. R. Mukundan, University of Canterbury,
Starting at Binary Trees
Dynamic Data Structures Stacks, Queues and Binary Trees hold dynamic data.
Basic Data Structures Stacks. A collection of objects Objects can be inserted into or removed from the collection at one end (top) First-in-last-out.
Data Structures Chapter 6. Data Structure A data structure is a representation of data and the operations allowed on that data. Examples: 1.Array 2.Record.
IKI 10100I: Data Structures & Algorithms Ruli Manurung (acknowledgments to Denny & Ade Azurat) 1 Fasilkom UI Ruli Manurung (Fasilkom UI)IKI10100I: Data.
Data Structures Using Java1 Chapter 10 Binary Trees.
Traversing a tree means visiting each node in a specified order. There are different ways to traverse a tree. Tree Traversing Depth first search Pre-orderIn-orderPost-order.
1 Trees 2 Binary trees Section Binary Trees Definition: A binary tree is a rooted tree in which no vertex has more than two children –Left and.
AL-HUSEEN BIN TALAL UNIVERSITY College of Engineering Department of Computer Engineering Algorithms and Data Structures Binary Tree Course No.:
Lab 4 Due date: March 29. Linked Representation Each binary tree node is represented as an object whose data type is binaryTreeNode. The space required.
1 Trees General Trees  Nonrecursive definition: a tree consists of a set of nodes and a set of directed edges that connect pairs of nodes.
COSC 2P03 Week 21 Stacks – review A Last-In First-Out (LIFO) structure Basic Operations: –push : insert data item onto top of stack –pop : remove data.
Graph Traversal Text Weiss, § 9.6 Depth-First Search Think Stack Breadth-First Search Think Queue.
Stacks. What is a Stack? A stack is a type of data structure (a way of organizing and sorting data so that it can be used efficiently). To be specific,
1 Trees General Trees  Nonrecursive definition: a tree consists of a set of nodes and a set of directed edges that connect pairs of nodes.
Backtracking Algorithm Depth-First Search Text Read Weiss, § 9.6 Depth-First Search and § 10.5 Backtracking Algorithms.
Visit:
IKI 10100: Data Structures & Algorithms Ruli Manurung (acknowledgments to Denny & Ade Azurat) 1 Fasilkom UI Ruli Manurung (Fasilkom UI)IKI10100: Lecture13.
SEARCHING GRAPHS Chapter INTRO  in our tree discussion, learned three ways of traversing a graph: –Preorder (prefix) –Inorder (infix) –Postorder.
Trees Saurav Karmakar
Articulation Points 2 of 2 (Algorithm)
Lecture No.14 Data Structures Dr. Sohail Aslam
Stacks – review A Last-In First-Out (LIFO) structure Basic Operations:
Fundamentals of Programming II Introduction to Trees
Data Structures Binary Trees 1.
Trees ---- Soujanya.
Godrej Prakriti Sodepur | Godrej Prakriti Kolkata
Section 8.1 Trees.
Giftalove Best Cake Offers
Stacks – review A Last-In First-Out (LIFO) structure Basic Operations:
Comp 245 Data Structures Graphs.
Abstract Data Structures
Paul Tymann, Andrew Watkins,
Principles of Computing – UFCFA3-30-1
Binary Tree Traversals
2018, Fall Pusan National University Ki-Joune Li
Paul Tymann, Andrew Watkins,
if the tree is empty, do nothing,
Queue Applications Lecture 31 Tue, Apr 11, 2006.
Chapter 20: Binary Trees.
List Iterator Implementation
Visit us:
Binary Tree Iterators Tree Traversals: preorder, inorder, postorder
Presentation transcript:

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack 14

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack 13

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack 53

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack 16

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack 99

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack 72

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack 43

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack 33

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack 64

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack 97

Preorder Traversal with a Stack Push the root onto the stack. While the stack is not empty n pop the stack and visit it n push its two children Stack