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

Applications of the queue, Write down any four applications of the queues. ...

Write down any four applications of the queues.                                                            Ans. A pp li cation of Queue is given below (i)  Queue is

Write an algorithm for binary search., Write an algorithm for binary search...

Write an algorithm for binary search. Algorithm for Binary Search 1.  if (low> high) 2.  return (-1) 3.  Mid = (low + high)/2 4.  if ( X = = a[mid]) 5.  return (mid); 6.

Linked list, Write a program for reversing the Linked list

Write a program for reversing the Linked list

Discuss the properties of adt, Question 1 Write a program in 'C' to rea...

Question 1 Write a program in 'C' to read N numbers and print them in descending order Question 2 Discuss the properties of ADT Question 3 Write a note on

Addressing modes, Compare zero-address, one-address, two-address, and three...

Compare zero-address, one-address, two-address, and three-address machines by writing programs to compute: Y = (A – B X C) / (D + E X F) for each of the four machines. The inst

Define algorithm, What is an Algorithm? An algorithm is a sequence of u...

What is an Algorithm? An algorithm is a sequence of unambiguous instructions for solving a problem, i.e., for getting a needed output for any legitimate input in a finite amoun

Explain time complexity, Time Complexity:- The time complexity of an algori...

Time Complexity:- The time complexity of an algorithm is the amount of time it requires to run to completion. Some of the reasons for studying time complexity are:- We may be in

Structured programming, What do you understand by term structured programmi...

What do you understand by term structured programming? Explain the structured programming as well.                                 Ans. S tructured Programming is expla

The threaded binary tree, By changing the NULL lines in a binary tree to th...

By changing the NULL lines in a binary tree to the special links called threads, it is possible to execute traversal, insertion and deletion without using either a stack or recursi

Signals, How does cpu''s part tming and controls generate and controls sign...

How does cpu''s part tming and controls generate and controls signls in computer?

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