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

Stack, using a program flowchart design a program to illustrate pop and pus...

using a program flowchart design a program to illustrate pop and push operation

Direct file organisation, It offers an effective way to organize data while...

It offers an effective way to organize data while there is a requirement to access individual records directly. To access a record directly (or random access) a relationship is

Determine the types of java, Determine the types of JAVA Java has two p...

Determine the types of JAVA Java has two parts... 1. Core language -- variables, arrays, objects o Java Virtual Machine (JVM) runs the core language o Core language is

Binary search tree in ascending order, In order to get the contents of a Bi...

In order to get the contents of a Binary search tree in ascending order, one has to traverse it in In-order

State an algorithm which inputs 3 - digit code for 280 items, A small shop ...

A small shop sells 280 different items. Every item is identified by a 3 - digit code. All items which start with a zero (0) are cards, all items which start with a one (1) are swee

Algorithm, implement multiple stacks in a single dimensional array. write a...

implement multiple stacks in a single dimensional array. write algorithm for various stack operation for them

Queues, Queue is a linear data structure utilized in several applications o...

Queue is a linear data structure utilized in several applications of computer science. Such as people stand in a queue to get a specific service, several processes will wait in a q

Computer arhitecture, The controversy of RISC versus CISC never ends. Suppo...

The controversy of RISC versus CISC never ends. Suppose that you represent an advocate for the RISC approach; write at least a one-page critic of the CISC approach showing its disa

Dynamic memory management, How memory is freed using Boundary tag method in...

How memory is freed using Boundary tag method in the context of Dynamic memory management? Boundary Tag Method to free Memory To delete an arbitrary block from the free li

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