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

Algorithm to sort a given list by quick sort method, Q. Write down an algor...

Q. Write down an algorithm to sort a given list by making use of Quick sort method. Describe the behaviour of Quick sort when input given to us is already sorted.

Hash function, Q. Define the graph, adjacency matrix, adjacency list, hash ...

Q. Define the graph, adjacency matrix, adjacency list, hash function, adjacency matrix, sparse matrix, reachability matrix.

Recursive function, The location of a node in a binary search tree is defin...

The location of a node in a binary search tree is defined as a string such as LLRRL, which represents the node that you find by starting at the root, and traversing Left, traverse

Singly linked list , The two pointers per number of a doubly linked list pr...

The two pointers per number of a doubly linked list prepare programming quite easy. Singly linked lists as like the lean sisters of doubly linked lists. We need SItem to consider t

Explain the representations of graph, Explain the representations of graph....

Explain the representations of graph. The different ways of representing a graph is: Adjacency list representation : This representation of graph having of an array Adj of

Binary trees, A binary tree is a special tree where each non-leaf node can ...

A binary tree is a special tree where each non-leaf node can have atmost two child nodes. Most important types of trees which are used to model yes/no, on/off, higher/lower, i.e.,

Merge sort , What is the best-case number of comparisons performed by merge...

What is the best-case number of comparisons performed by mergesort on an input sequence of 2 k distinct numbers?

Efficient way of storing a sparse matrix in memory, Explain an efficient wa...

Explain an efficient way of storing a sparse matrix in memory.   A matrix in which number of zero entries are much higher than the number of non zero entries is called sparse mat

Cohen sutherland algorithm, Using the cohen sutherland. Algorithm. Find the...

Using the cohen sutherland. Algorithm. Find the visible portion of the line P(40,80) Q(120,30) inside the window is defined as ABCD A(20,20),B(60,20),C(60,40)and D(20,40)

State about the simple types - built-in types, State about the Simple types...

State about the Simple types - Built-In Types Values of the carrier set are atomic, that is, they can't be divided into parts. Common illustrations of simple types are inte

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