Tree traversal, Data Structure & Algorithms

Assignment Help:

Q. What do you understand by the tree traversal? Write down the procedure for traversing a binary tree in preorder and execute it on the following tree. 

419_tree traversal.png

 

Ans:

The algorithm walks through tree data structure and performs some calculation at each node in the tree. This procedure of walking through the tree is called a tree traversal.

There are basically two different methods in which to visit systematically all the nodes of a tree-the depth-first traversal and the breadth-first traversal. Certain depth- first traversal methods happen frequently enough that they are given names of their own: preorder traversal, inorder traversal and postorder traversal.

The algorithm for traversing a tree in preorder is written as follows:-

i.     Process the root R.

ii.    Traverse left sub tree of R in preorder.
iii.   Traverse right sub tree of R in preorder. The preorder for the given tree is as follows:-

A   L1  R1

A  B    L1l  L1R  R1

A  B    D      L1R  R1

A  B    D      E       R1

A  B    D      E       C    R1L  R1R

A  B      D         E            C      F       R1R

A  B          D         E          C            F       G


Related Discussions:- Tree traversal

Pseudocode algorithm to print the numbers from 1 to 10, 1. Write a pseudoco...

1. Write a pseudocode algorithm to print the numbers from 1 to 10, and then from 10 to 1, using exactly one loop. 2. The function contains() takes a food as an argument and tell

Function performs multiplication of two numbers, You need to write a functi...

You need to write a function that performs multiplication of two numbers in your data structure. Again, remember how you multiply numbers in base 10 and you should be fine. Multipl

Complexity of an algorithm, An algorithm is a sequence of steps to solve a ...

An algorithm is a sequence of steps to solve a problem; there may be more than one algorithm to solve a problem. The choice of a particular algorithm depends upon following cons

Explain almost complete binary tree, Almost Complete Binary Tree :-A binary...

Almost Complete Binary Tree :-A binary tree of depth d is an almost whole binary tree if: 1.Any node and at level less than d-1 has two children. 2. for any node and in the tree wi

How to measure the algorithm efficiency, How to measure the algorithm's eff...

How to measure the algorithm's efficiency? It is logical to examine the algorithm's efficiency as a function of some parameter n showing the algorithm's input size. Instance

Define rule-based expert system, 1. Define the following terms in a rule-ba...

1. Define the following terms in a rule-based expert system? a) Knowledge base b) Inference engine 2. What is a fuzzy rule? Explain the difference between classical and fuzzy

#, if two relations R and S are joined, then the non matching tuples of bot...

if two relations R and S are joined, then the non matching tuples of both R and S are ignored in

Multikey file organization, what are the applications of multikey file orga...

what are the applications of multikey file organization?

Technique for direct search, Technique for direct search is    Hashing ...

Technique for direct search is    Hashing is the used for direct search.

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