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

Bubble sort, In this sorting algorithm, multiple swapping occurs in one pas...

In this sorting algorithm, multiple swapping occurs in one pass. Smaller elements move or 'bubble' up to the top of the list, so the name given to the algorithm. In this method,

Binary search tree, write an algorithm to delete an element x from binary...

write an algorithm to delete an element x from binary search with time complex

Procedure of analysis of algorithm, Example 1:  Following are Simple sequen...

Example 1:  Following are Simple sequence of statements Statement 1;  Statement 2; ... ... Statement k; The entire time can be found out through adding the times for

Write a program to create a heap file, Write a program to create a heap fil...

Write a program to create a heap file that holds the records in the file " data_2013 " The source records are variablelength.However, the heap file should hold fixed-length reco

Binary search technique, Q. Describe the basic concept of binary search tec...

Q. Describe the basic concept of binary search technique? Is it more efficient than the sequential search?         Ans : The bin ary search technique:- This tec

Binary search, Write the algorithm for Binary search. Also apply this algo...

Write the algorithm for Binary search. Also apply this algorithm on the following data. 22, 44, 11, 88, 33, 55, 77, 66

Which of the sorting algorithm is stable, Which of the sorting algorithm is...

Which of the sorting algorithm is stable   Heap sorting is stable.

Recursive function , Q. Write down the recursive function to count the numb...

Q. Write down the recursive function to count the number of the nodes in the binary tree.    A n s . R ecursive Function to count no. of Nodes in Binary Tree is writt

Algorithm to merge two sorted arrays with third array, Q. Write down an alg...

Q. Write down an algorithm to merge the two sorted arrays into the third array. Do  not perform the sort function in the third array.                           Ans: void m

Hashing and hash functions, Q. Describe the term hashing. Explain any two u...

Q. Describe the term hashing. Explain any two usually used hash functions. Explain one method of collision resolution.

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