Binary tree traversals, Data Structure & Algorithms

Assignment Help:

 We have discussed already about three tree traversal methods in the earlier section on general tree. The similar three different ways to do the traversal -inorder , preorder, and postorder are applicable to binary tree also.

Let us discuss the inorder binary tree traversal for given binary tree:

We begin from the root i.e. * we are assumed to visit its left sub-tree then visit the node itself & its right sub-tree. Here, root contain a left sub-tree rooted at +. Thus, we move to + and verify for its left sub-tree (we are supposed repeat this for each node). Again, + contain a left sub-tree rooted at 4. Thus, we need to check for 4's left sub-tree now, however 4 doesn't have any left sub-tree and therefore we will visit node 4 first (print in our case) and verify for its right sub-tree. As 4 doesn't contain any right sub-tree, we'll go back & visit node +; and verify for the right sub-tree of +. It contains a right sub-tree rooted at 5 and thus we move to 5. Well, 5 don't have any left or right sub-tree. Thus, we just visit 5 (print 5) and track back to +. As we already have visited + thus we track back to * . As we are yet to visit the node itself and thus we visit * before checking for the right sub-tree of *, which is 3. As 3 do not have any left or right sub-trees, we visit 3 . Thus, the inorder traversal results in 4 + 5 * 3


Related Discussions:- Binary tree traversals

What is efficiency of algorithm, What is Efficiency of algorithm? Effic...

What is Efficiency of algorithm? Efficiency of an algorithm can be precisely explained and investigated with mathematical rigor.  There are two types of algorithm efficiency

Java code and algorythem, Suppose that you want to develop a program that a...

Suppose that you want to develop a program that accepts a postfix expression and asks values for variables in the expression. Then you need to calculate the answer for the expressi

Determine yiq colour model, Determine YIQ Colour Model Whereas an RGB m...

Determine YIQ Colour Model Whereas an RGB monitor requires separate signals for the red, green, and blue components of an image, a television monitor uses a single composite si

If else, design algorithm and flow chart that computes the absolute differe...

design algorithm and flow chart that computes the absolute difference of two values x and y

Best case, Best Case: If the list is sorted already then A[i] T (n) = ...

Best Case: If the list is sorted already then A[i] T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1)  = O (n), which indicates that the time complexity is linear. Worst Case:

Usage of linked lists for polynomial manipulation, Q. Establish the usage o...

Q. Establish the usage of linked lists for polynomial manipulation.                                       Ans. Usag e of Linked List for Polynomial Manipulation. Link

Calculates partial sum of an integer, Now, consider a function that calcula...

Now, consider a function that calculates partial sum of an integer n. int psum(int n) { int i, partial_sum; partial_sum = 0;                                           /* L

Whether a binary tree is a binary search tree or not, Write an algorithm to...

Write an algorithm to test whether a Binary Tree is a Binary Search Tree. The algorithm to test whether a Binary tree is as Binary Search tree is as follows: bstree(*tree) {

Representing sparse matrix in memory using array, Q. What do you understand...

Q. What do you understand by the term sparse matrix? How sparse matrix is stored in the memory of a computer? Write down the function to find out the transpose of a sparse matrix u

Mapping constain, one to many one to one many to many many to one

one to many one to one many to many many to one

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd