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

Define merge sort, Define Merge Sort  Merge sort is a perfect example ...

Define Merge Sort  Merge sort is a perfect example of a successful application of the divide and conquer method. It sorts a given array A[0...n-l] by separating it into two ha

Write down the algorithm of quick sort, Write down the algorithm of quick s...

Write down the algorithm of quick sort. An algorithm for quick sort: void quicksort ( int a[ ], int lower, int upper ) {  int i ;  if ( upper > lower ) {   i = split ( a,

Program of implementation of stack using arrays, include int choice, st...

include int choice, stack[10], top, element; void menu(); void push(); void pop(); void showelements(); void main() { choice=element=1; top=0; menu()

What are the things require to implement abstract data types, What are the ...

What are the things require to implement ADT Abstract data types are very useful for helping us understand the mathematical objects which we use in our computations but, of cou

State warnock algorithm, Warnock's Algorithm An interesting approach to...

Warnock's Algorithm An interesting approach to the hidden-surface problem was presented by Warnock. His method does not try to decide exactly what is happening in the scene but

Explain b tree (binary tree), B Tree Unlike a binary-tree, every node o...

B Tree Unlike a binary-tree, every node of a B-tree may have a variable number of keys and children. The keys are stored in non-decreasing order. Every key has an associated ch

Stack, Explain the array and linked list implementation of stack

Explain the array and linked list implementation of stack

COBOL, write a COBOL program to find the biggest of two numbers

write a COBOL program to find the biggest of two numbers

Sort the Sequence Using Merge Sort, Q. Sort the sequence written below of k...

Q. Sort the sequence written below of keys using merge sort. 66, 77, 11, 88, 99, 22, 33, 44, 55                                                                      Ans:

Stack and array, how to implement multiple stack using single dimension arr...

how to implement multiple stack using single dimension array in c

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