Binary Tree Traversal

Oct 5, 2018Download as pptx, pdf12 likes12,150 views

This presentation is useful to study about data structure and topic is Binary Tree Traversal. This is also useful to make a presentation about Binary Tree Traversal.

Name: Panchal Dhrumil Indravadan
Subject: Data Structure
Branch: Computer Engineering (B.E.)
Semester: Third Sem
Year: 2018-19

 Binary Tree Traversal
 Preorder
 Inorder
 Postorder
 Example

 The most common operations performed on tree
structure is that of traversal. This is a procedure by
which each node in the tree is processed exactly
once in a systematic manner.
 There are three ways of traversing a binary tree.
 1. Preorder Traversal
 2. Inorder Traversal
 3. Postorder Traversal

 Preorder traversal : A B C D E F G
 Inorder traversal : C B A E F D G
 Postorder traversal : C B F E G D A
 Converse Preorder traversal : A D G E F B C
 Converse Inorder traversal : G D F E A B C
 Converse Postorder traversal : G F E D C B A
A
B
C
D
E
F
G

 Preorder traversal of a binary tree is defined as follow
 Process the root node
 Traverse the left subtree in preorder
 Traverse the right subtree in preorder
 If particular subtree is empty (i.e., node has no left or
right descendant) the traversal is performed by doing
nothing, In other words, a null subtree is considered to
be fully traversed when it is encountered.
 The preorder traversal of a tree is given by
 A B C D E F G

 The Inorder traversal of a binary tree is given by
following steps,
Traverse the left subtree in Inorder
Process the root node
Traverse the right subtree in Inorder
• The Inorder traversal of a tree is given by
• C B A E F D G

 The postorder traversal is given by
Traverse the left subtree in postorder
Traverse the right subtree in postorder
Process the root node
 The Postorder traversal of a tree is given by
 C B F E G D A

 If we interchange left and right words in the
preceding definitions, we obtain three new traversal
orders which are called
Converse Preorder (A D G E F B C)
Converse Inorder (G D F E A B C)
Converse Postorder (G F E D C B A)

 Given a binary tree whose root node address is
given by pointer variable root and whose node
structure is same as described below. This
procedure traverses the tree in preorder, in a
recursive manner.
ROOT LPTR RPTR

 void preorder (root)
 {
 if (root==NULL)
 return;
 printf (“ %dn ”, root->info);
 preorder ( root-> left);
 preorder ( root-> right);
 }

 void inorder (root->left)
 {
 if (root==NULL)
 return;
 inorder ( root);
 printf (“ %dn ”, root->info);
 inorder ( root-> right);
 }

 void postorder (root->left)
 {
 if (root==NULL)
 return;
 postorder (root-> right);
 postorder (root);
 printf (“ %dn ”, root->info);
 }

 Inorder: 2 1 4 5 3
 Preorder: 1 2 3 4 5
 Post order: 2 5 4 3 1
1
2 3
4
5

 Inspiration from Prof. Keyur Suthar and Prof.
Rashmin Prajapati
 Notes of DS
 Textbook of DS
 Image from Google images
 Some my own knowledge

#include<stdio.h>
int main()
{
printf(“Thank You”);
return 0;
}

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Binary Tree Traversal

1. Name: Panchal Dhrumil Indravadan Subject: Data Structure Branch: Computer Engineering (B.E.) Semester: Third Sem Year: 2018-19

2. Tree Traversal

3.  Binary Tree Traversal  Preorder  Inorder  Postorder  Example

4.  The most common operations performed on tree structure is that of traversal. This is a procedure by which each node in the tree is processed exactly once in a systematic manner.  There are three ways of traversing a binary tree.  1. Preorder Traversal  2. Inorder Traversal  3. Postorder Traversal

5.  Preorder traversal : A B C D E F G  Inorder traversal : C B A E F D G  Postorder traversal : C B F E G D A  Converse Preorder traversal : A D G E F B C  Converse Inorder traversal : G D F E A B C  Converse Postorder traversal : G F E D C B A A B C D E F G

6.  Preorder traversal of a binary tree is defined as follow  Process the root node  Traverse the left subtree in preorder  Traverse the right subtree in preorder  If particular subtree is empty (i.e., node has no left or right descendant) the traversal is performed by doing nothing, In other words, a null subtree is considered to be fully traversed when it is encountered.  The preorder traversal of a tree is given by  A B C D E F G

7.  The Inorder traversal of a binary tree is given by following steps, Traverse the left subtree in Inorder Process the root node Traverse the right subtree in Inorder • The Inorder traversal of a tree is given by • C B A E F D G

8.  The postorder traversal is given by Traverse the left subtree in postorder Traverse the right subtree in postorder Process the root node  The Postorder traversal of a tree is given by  C B F E G D A

9.  If we interchange left and right words in the preceding definitions, we obtain three new traversal orders which are called Converse Preorder (A D G E F B C) Converse Inorder (G D F E A B C) Converse Postorder (G F E D C B A)

10.  Given a binary tree whose root node address is given by pointer variable root and whose node structure is same as described below. This procedure traverses the tree in preorder, in a recursive manner. ROOT LPTR RPTR

11.  void preorder (root)  {  if (root==NULL)  return;  printf (“ %dn ”, root->info);  preorder ( root-> left);  preorder ( root-> right);  }

12.  Given a binary tree whose root node address is given by pointer variable “root” and whose node structure is same as described below. This procedure traverses the tree in inorder, in a recursive manner. LPTR ROOT RPTR

13.  void inorder (root->left)  {  if (root==NULL)  return;  inorder ( root);  printf (“ %dn ”, root->info);  inorder ( root-> right);  }

14.  Given a binary tree whose root node address is given by pointer variable “root” and whose node structure is same as described below. This procedure traverses the tree in postorder, in a recursive manner. LPTR RPTR ROOT

15.  void postorder (root->left)  {  if (root==NULL)  return;  postorder (root-> right);  postorder (root);  printf (“ %dn ”, root->info);  }

16.  Inorder: 2 1 4 5 3  Preorder: 1 2 3 4 5  Post order: 2 5 4 3 1 1 2 3 4 5

17.  Inspiration from Prof. Keyur Suthar and Prof. Rashmin Prajapati  Notes of DS  Textbook of DS  Image from Google images  Some my own knowledge

18. #include<stdio.h> int main() { printf(“Thank You”); return 0; }

Binary Tree Traversal

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