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

Sorting algorithms, Sorting is significant application activity. Several so...

Sorting is significant application activity. Several sorting algorithms are obtainable. But, each is efficient for a specific situation or a specific kind of data. The choice of a

Algorithm for similar binary tree, Q. The two Binary Trees are said to be s...

Q. The two Binary Trees are said to be similar if they are both empty or if they are both non- empty and left and right sub trees are similar. Write down an algorithm to determine

Reverse order of elements on a slack, Q. Describe the representations of gr...

Q. Describe the representations of graph. Represent the graph which is given to us using any two methods Ans: The different ways by which we can represent graphs are:

Multiple queue, How to create multiple queue on single array?

How to create multiple queue on single array?

Explain in detail about the abstract data type, Abstract data type The ...

Abstract data type The thing which makes an abstract data type abstract is that its carrier set and its operations are mathematical entities, like geometric objects or numbers;

Recursive implementation of binary tree traversals, There are three typical...

There are three typical ways of recursively traversing a binary tree. In each of these, the left sub-trees & right sub-trees are visited recursively and the distinguishing feature

ERM, Hi, can you give me a quote for an E-R diagram

Hi, can you give me a quote for an E-R diagram

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

Algorithms & flowchart, write an algorithm to find the average number of oc...

write an algorithm to find the average number of occurances of MECHANIL in an english passage

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