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

Trees, Have you ever thought about the handling of our files in operating s...

Have you ever thought about the handling of our files in operating system? Why do we contain a hierarchical file system? How do files saved & deleted under hierarchical directories

Search, What are the conditions under which sequential search of a list is ...

What are the conditions under which sequential search of a list is preferred over binary search?

Advantages of the last in first out method, Materials consumed are priced i...

Materials consumed are priced in a systematic and realistic manner. It is argued that current acquisition costs are incurred for the purpose of meeting current production and sales

Green computing, In the present scenario of global warming, the computer ha...

In the present scenario of global warming, the computer hard ware and software are also contributing for the increase in the temperature in the environment and contributing for the

Prims algorithm, how to write prims algorithms? with example

how to write prims algorithms? with example

Matrices multiplication, Write an algorithm for multiplication of two spars...

Write an algorithm for multiplication of two sparse matrices using Linked Lists.

Implementation of stack, Before programming a problem solution those employ...

Before programming a problem solution those employees a stack, we have to decide how to represent a stack by using the data structures which exist in our programming language. Stac

Draw trace table and determine output of number, Draw trace table and deter...

Draw trace table and determine output from the following flowchart using following data: Number = 45, -2, 20.5

Linked list, Write a program for reversing the Linked list

Write a program for reversing the Linked list

Variable length codes, Variable length codes (Niveau I) Code the following ...

Variable length codes (Niveau I) Code the following sequence of integers (2, 4, 2, 8, 3, 1, 4, 5, 13, 2) with • unary codes • ? codes • d codes • Rice codes (for a suitable l) and

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