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

Reverse order of elements on a slack, Q. Reverse the order of the elements ...

Q. Reverse the order of the elements on a stack S    (i) by using two additional stacks (ii) by using one additional queue. Ans :      L e t S be the stac

Algorithm, Example of worse case of time

Example of worse case of time

Calculate address of an element in an array., Q. Explain the technique to c...

Q. Explain the technique to calculate the address of an element in an array. A  25 × 4  matrix array DATA is stored in memory in 'row-major order'. If base  address is 200 and

Stack and array, how to implement multiple stack using single dimension arr...

how to implement multiple stack using single dimension array in c

Two - way merge sort, Merge sort is also one of the 'divide & conquer' clas...

Merge sort is also one of the 'divide & conquer' classes of algorithms. The fundamental idea in it is to split the list in a number of sublists, sort each of these sublists & merge

Perform breadth -first search, You are given two jugs, a 4-gallon one and a...

You are given two jugs, a 4-gallon one and a 3-gallon one. Neither has any measuring marker on it. There is a tap that can be used to fill the jugs with water. How can you get exac

Algorithm, Write an algorithm for compound interest.

Write an algorithm for compound interest.

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

Algorithm, what algorithms can i use for the above title in my project desi...

what algorithms can i use for the above title in my project desing and implmentation of road transport booking system

Explain about hidden-surface, Explain about Hidden-surface Hidden-line...

Explain about Hidden-surface Hidden-line removal refers to wire-frame diagrams without surface rendering and polygonal surfaces with straight edges. Hidden-surface removal ref

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