Level Order Traversal of a Binary Tree

Jul 13, 2012

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Level Order Traversal of a Binary Tree

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1. Level Order Traversal of a Binary Tree Instructor : Prof. Jyh-Shing Roger Jang Designer:Shao-Huan Wang The ideas are reference to the textbook �Fundamentals of Data Structures in C �.

Binary Tree

A. Binary tree. B. c. E. D. F. G. H. I. Binary Tree. A binary tree is a finite set of elements that is either empty or is partitioned into three disjoint subsets. The first subset contains a single element called the root of the tree.

1.64k views • 15 slides

Binary Tree Traversal Methods

Binary Tree Traversal Methods. In a traversal of a binary tree, each element of the binary tree is visited exactly once. During the visit of an element, all action (make a clone, display, evaluate the operator, etc.) with respect to this element is taken. Binary Tree Traversal Methods.

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A Binary Tree ADT

Fields. The definition of a binary tree pretty much requires the following fields:Object value;BinaryTree leftChild;BinaryTree rightChild;I also wanted to have this additional field:BinaryTree parent;Should these fields be public, private, or somewhere in between?. Maintaining control. It is t

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Tree Traversal

Tree Traversal. +. Inorder traversal: A/B*C*D+E ( LVR ) Infix form Preorder traversal: +**/ABCDE ( VLR ) Prefix form Postorder traversal: AB/C*D*E+ ( LRV ) Postfix form . *. E. *. D. 1. /. C. 2. 17. A. B. 3. 14. 18. 19. 4. 11. 15. 16. 8. 5. 12. 13. 6. 7. 9. 10.

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Tree Traversal

Tree Traversal. Section 9.3 Longin Jan Latecki Temple University Based on slides by Paul Tymann, Andrew Watkins, and J. van Helden. Tree Anatomy. The children of a node are, themselves, trees, called subtrees. Root. Level 0. R. Level 1. S. T. Internal Node. Level 2. X. U. V. W.

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Tree Binary Tree

Tree Binary Tree. Arrays and Linked List. ARRAYS 1. Good Data structure for Searching algorithms. 2. Disadvantage : Insertion and Deletion of Elements require Data movements(Time Consuming) LINKED LIST

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Binary Tree Traversal Techniques

Binary Tree Traversal Techniques. Three recursive techniques for binary tree traversal In each technique, the left subtree is traversed recursively, the right subtree is traversed recursively, and the root is visited

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Binary Tree

Binary Tree . Chapter 6 (cont’). 6.4 Tree Traversal . Tree traversal is the process of visiting each node in the tree exactly one time. This definition does not specify the order in which the nodes are visited.

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Binary Tree Traversal Methods

Binary Tree Traversal Methods. Many binary tree operations are done by performing a traversal of the binary tree. Possible Binary Tree Operations:. Determine the height. Determine the number of nodes. Make a clone. Evaluate the arithmetic expression represented by a binary tree. ….

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Traversing a Binary Tree Binary Search Tree Insertion Deleting from a Binary Search Tree

Lecture 12. Traversing a Binary Tree Binary Search Tree Insertion Deleting from a Binary Search Tree. Traversing a Binary Tree Inorder Traversal. The Scenario. Imagine we have a binary tree We want to traverse the tree It’s not linear We need a way to visit all nodes

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Tree Traversal

Tree Traversal. Traversal Algorithms. preorder inorder postorder. PreOrder Traversal. Inorder Traversal. Postorder Traversal. In which order does a preorder traversal visit the vertices in this ordered rooted tree?. procedure preorder ( T : ordered rooted tree) r := root of T

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Binary Tree

Binary Tree. Binary Trees – An Informal Definition. A binary tree is a tree in which no node can have more than two children Each node has 0, 1, or 2 children. Binary Trees – A Recursive Definition. 1. An empty structure is a binary tree

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Tree Traversal

Tree Traversal. Pre Order Tree Traversal. Visit the root Traverse the left sub-tree, Traverse the right sub-tree. In Order Tree Traversal. Traverse the left sub-tree, Visit the root Traverse the right sub-tree. Post Order Tree Traversal. Traverse the left sub-tree,

3.16k views • 27 slides

Tree Traversal

Tree Traversal. Section 9.3 Longin Jan Latecki Temple University Based on slides by Paul Tymann and Andrew Watkins. Tree Anatomy. The children of a node are, themselves, trees, called subtrees. Root. Level 0. R. Level 1. S. T. Internal Node. Level 2. X. U. V. W. Leaf. Level 3.

484 views • 25 slides

A Binary Tree

A Binary Tree. root. leaf. leaf. leaf. A Binary Tree. root. descendent of root. descendent of root. parent of leaf. leaf. leaf. leaf. Complete Binary Tree On 12 nodes. Full Binary Tree on 7 nodes. i. Number of nodes at depth i = 2 Maximum depth of a node = floor(log 2 (n)),

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Binary Tree Traversal Methods

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Tree Traversal

Tree Traversal. Traversal Algorithms. preorder inorder postorder. PreOrder Traversal. Inorder Traversal. Postorder Traversal. In which order does a inorder traversal visit the vertices in this ordered rooted tree?. procedure inorder ( T : ordered rooted tree) r := root of T

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Tree Traversal

320 views • 28 slides

Tree Traversal

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Tree Traversal

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Tree-Traversal Orientation Analysis

Tree-Traversal Orientation Analysis. Stephen Curial, Kevin Andrusky and José Nelson Amaral University of Alberta. Overview. A compiler-based analysis to determine the predominant orientation of traversal of trees.

720 views • 65 slides

Traversing a Binary Tree Binary Search Tree Insertion Deleting from a Binary Search Tree

2.1k views • 207 slides

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