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

Cache simulator, how to design a cache simulator with 4-way set associative...

how to design a cache simulator with 4-way set associative cache

If-then-else statements, In this example, suppose the statements are simple...

In this example, suppose the statements are simple unless illustrious otherwise. if-then-else statements if (cond) { sequence of statements 1 } else { sequence of st

How do you find the complexity of an algorithm, How do you find the complex...

How do you find the complexity of an algorithm?  Complexity of an algorithm is the measure of analysis of algorithm. Analyzing an algorithm means predicting the resources that

Algorithsm, What are the properties of an algorithsm?

What are the properties of an algorithsm?

Rooted tree, It does not have any cycles (circuits, or closed paths), which...

It does not have any cycles (circuits, or closed paths), which would imply the existence of more than one path among two nodes. It is the most general kind of tree, and might be co

Explain linked list, Linked List  A linked list is a linear collection...

Linked List  A linked list is a linear collection of data elements called nodes. The linear order is given by pointer. Every node is divided into 2 or more parts.

#title., Ask quapplication of data structure estion #Minimum 100 words acce...

Ask quapplication of data structure estion #Minimum 100 words accepted#

In-order traversal, Write steps for algorithm for In-order Traversal Th...

Write steps for algorithm for In-order Traversal This process when implemented iteratively also needs a stack and a Boolean to prevent the execution from traversing any portion

How conquer technique can be applied to binary trees, How divide and conque...

How divide and conquer technique can be applied to binary trees?  As the binary tree definition itself separates a binary tree into two smaller structures of the similar type,

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