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

Graph traversal schemes, Various graph traversal schemes Graph Traversa...

Various graph traversal schemes Graph Traversal Scheme. In many problems we wish to investigate all the vertices in a graph in some systematic order. In graph we often do no

Write an algorithm to measure daily temperatures, A geography class decide ...

A geography class decide to measure daily temperatures and hours of sunshine each day over a 12 month period (365 days) Write an algorithm, using a flowchart that inputs tempera

Tree, application of threaded binary treee

application of threaded binary treee

Explain state space tree, Explain State Space Tree If it is convenient ...

Explain State Space Tree If it is convenient to execute backtracking by constructing a tree of choices being made, the tree is known as a state space tree. Its root indicates a

Python programming, how to write a function of area of a circle using pytho...

how to write a function of area of a circle using python

The # of times an algorithm executes, for(int i = 0; i for (int j = n -...

for(int i = 0; i for (int j = n - 1; j >= i ; j--){ System.out.println(i+ " " + j);

Define the terms - key attribute and value set, Define the terms   ...

Define the terms     i) Key attribute     ii) Value set  Key attribute:  An entity  type  usually  has  an attribute  whose  values  are  distinct  fr

Accept a file and form a binary tree - huffman encoding, Huffman Encoding i...

Huffman Encoding is one of the very simple algorithms to compress data. Even though it is very old and simple , it is still widely used (eg : in few stages of JPEG, MPEG etc). In t

C++ function, Write c++ function to traverse the threaded binary tree in in...

Write c++ function to traverse the threaded binary tree in inorder traversal

Relation of time and space complexities of an algorithm, What is complexity...

What is complexity of an algorithm? What is the basic relation between the time and space complexities of an algorithm? Justify your answer by giving an example.

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