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

Estimate cost of an optimal diapath, Normally a potential y satisfies y r ...

Normally a potential y satisfies y r = 0 and 0 ³ y w - c vw -y v . Given an integer K³0, define a K-potential to be an array y that satisfies yr = 0 and K ³ y w - c vw -y v

Algorithm for the selection sort, Q. Give the algorithm for the selection s...

Q. Give the algorithm for the selection sort. Describe the behaviours of selection sort when the input given is already sorted.

Quick sort, This is the most extensively used internal sorting algorithm. I...

This is the most extensively used internal sorting algorithm. In its fundamental form, it was invented by C.A.R. Hoare in the year of 1960. Its popularity lies in the easiness of i

Bayesian statistics question, Suppose that there is a Beta(2,2) prior distr...

Suppose that there is a Beta(2,2) prior distribution on the probability theta that a coin will yield a "head" when spun in a specified manner. The coin is independently spun 10 tim

Algorithm to build a binary tree , Q. Give the algorithm to build a binary ...

Q. Give the algorithm to build a binary tree where the yields of preorder and post order traversal are given to us.

Terminology used for files structures, Given are the definitions of some im...

Given are the definitions of some important terms: 1) Field: This is an elementary data item characterized by its size, length and type. For instance, Name

Test whether a binary tree is a binary search tree, Q. Write down an algori...

Q. Write down an algorithm to test whether a Binary Tree is a Binary Search Tree.              A n s . The algorithm to check whether a Binary tree is as Binary Search

Usage of linked lists for polynomial manipulation, Q. Establish the usage o...

Q. Establish the usage of linked lists for polynomial manipulation.                                       Ans. Usag e of Linked List for Polynomial Manipulation. Link

Explain merge sort, Question 1 Explain the use of algorithms in computing ...

Question 1 Explain the use of algorithms in computing Question 2 Explain time complexity and space complexity of an algorithm Question 3 Explain how you can analyz

Total impedent of the circuit, an electrical student designed a circuit in...

an electrical student designed a circuit in which the impedence in one part of a series circuit is 2+j8 ohms and the impedent is another part of the circuit is 4-j60 ohm mm program

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