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

Hashing and five popular hashing functions, Q. Explain the term hashing? Ex...

Q. Explain the term hashing? Explain any five well known hash functions.                         Ans: Hashing method provides us the direct access of record from the f

Insertion of a node into a binary search tree, A binary search tree is cons...

A binary search tree is constructed through the repeated insertion of new nodes in a binary tree structure. Insertion has to maintain the order of the tree. The value to the lef

Define about the structure - container, Define about the Structure - Contai...

Define about the Structure - Container - Some containers hold elements in some sort of structure, and some don't. Containers with no structure include bags and sets. Containe

Write about enterprise manager, Question 1 . Give the structure of PL/SQL B...

Question 1 . Give the structure of PL/SQL Blocks and explain Question 2 . Differentiate between PL/SQL functions and procedures Question 3 . Explain the following Par

Bst created in pre- order, Q. Make a BST for the given sequence of numbe...

Q. Make a BST for the given sequence of numbers. 45,32,90,34,68,72,15,24,30,66,11,50,10 Traverse the BST formed in  Pre- order, Inorder and Postorder.

Breadth first search, While BFS is applied, the vertices of the graph are d...

While BFS is applied, the vertices of the graph are divided into two categories. The vertices, that are visited as part of the search & those vertices that are not visited as part

Operating system, discuss the operating system under the following: MONOLIT...

discuss the operating system under the following: MONOLITHIC SYSTEM,LAYER SYSTEM AND VIRTUAL MACHINES

A binary tree of depth "d" is an almost complete binary tree, A binary tree...

A binary tree of depth "d" is an almost complete binary tree if  A) Every leaf in the tree is either at level "d" or at level "d-1"  B)  For any node "n" in the tree with a

Problem logicall, Given a list containing Province, CustomerName and SalesV...

Given a list containing Province, CustomerName and SalesValue (sorted by Province and CustomerName), describe an algorithm you could use that would output each CustomerName and Sal

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