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

Techniques of representing polynomials using arrays, Q. Explain any three m...

Q. Explain any three methods or techniques of representing polynomials using arrays. Write which method is most efficient or effective for representing the following polynomials.

Java code and algorythem, Suppose that you want to develop a program that a...

Suppose that you want to develop a program that accepts a postfix expression and asks values for variables in the expression. Then you need to calculate the answer for the expressi

Explain the arrays in ruby, Explain the Arrays in Ruby Ruby arrays are ...

Explain the Arrays in Ruby Ruby arrays are dynamic arrays which expand automatically whenever a value is stored in a location beyond current end of the array. To the programmer

What do you understand by structured programming, What do you understand by...

What do you understand by structured programming Structured Programming  This term is used for programming design that emphasizes:- (1) Hierarchical design of programmi

Explain arrays, Arrays :- To execute a stack we need a variable called top,...

Arrays :- To execute a stack we need a variable called top, that holds the index of the top element of stack and an array to hold the part of the stack.

Postorder traversal of a binary tree, Postorder traversal of a binary tree ...

Postorder traversal of a binary tree struct NODE { struct NODE *left; int value;     /* can take any data type */ struct NODE *right; }; postorder(struct NODE

Program segment for quick sort, Illustrates the program segment for Quick s...

Illustrates the program segment for Quick sort. It uses recursion. Program 1: Quick Sort Quicksort(A,m,n) int A[ ],m,n { int i, j, k; if m { i=m; j=n+1; k

Write the algorithm to find input and output value, This algorithm inputs 5...

This algorithm inputs 5 values and outputs how many input numbers were positive and how many were negative. Data to be used: N = 1, -5, 2, -8, -7

The two famous methods for traversing, The two famous methods for traversin...

The two famous methods for traversing are:- a) Depth first traversal b) Breadth first

Depth first search and breadth first search, Q. Illustrate the result of ru...

Q. Illustrate the result of running BFS and DFS on the directed graph given below using vertex 3 as source.  Show the status of the data structure used at each and every stage.

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