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

Circular queues and implement circular queues using array, Explain what are...

Explain what are circular queues? Write down routines required for inserting and deleting elements from a circular queue implemented using arrays.           Circular queue:

Stack, write pseudocode to implement a queue with two stacks

write pseudocode to implement a queue with two stacks

Registers, what are registers? why we need register? Definition? Types? Wha...

what are registers? why we need register? Definition? Types? What registers can do for us?

Logic circuits, the voltage wave forms are applied at the inputs of an EX-O...

the voltage wave forms are applied at the inputs of an EX-OR gate. determine the output wave form

Explain threaded binary tree, Threaded Binary Tree : If a node in a bin...

Threaded Binary Tree : If a node in a binary tree is not having left or right child or it is a leaf node then that absence of child node is shown by the null pointers. The spac

Execute algorithm to convert infix into post fix expression, Q. Execute you...

Q. Execute your algorithm to convert the infix expression to the post fix expression with the given infix expression as input Q = [(A + B)/(C + D) ↑ (E / F)]+ (G + H)/ I

Linked List Variations, Part1: Deque and Bag Implementation First, complet...

Part1: Deque and Bag Implementation First, complete the Linked List Implementation of the Deque (as in Worksheet 19) and Bag ADTs (Worksheet 22). Files Needed: linkedList.c Linke

Best case, Best Case: If the list is sorted already then A[i] T (n) = ...

Best Case: If the list is sorted already then A[i] T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1)  = O (n), which indicates that the time complexity is linear. Worst Case:

Representation of data structure in memory, Representation of data structur...

Representation of data structure in memory is known as: Abstract data type

Explain b- tree, B- Tree  A B-tree of order m is an m-way true in which...

B- Tree  A B-tree of order m is an m-way true in which  1)  All leaves are on the similar level 2)  All internal nodes except the root have at most m-1(non-empty) childre

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