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

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

Programming information system, Describe an algorithm to play the Game of N...

Describe an algorithm to play the Game of Nim using all of the three tools (pseudocode, flowchart, hierarchy chart)

Database design and sql queries, In assignment, you have already started th...

In assignment, you have already started the process of designing a database for the Beauty Salon mini-case (enclosed again below), mainly in the phase of conceptual database design

Shortest path dijkstras algorithm, * Initialise d & pi* for each vertex ...

* Initialise d & pi* for each vertex v within V( g ) g.d[v] := infinity  g.pi[v] := nil g.d[s] := 0; * Set S to empty * S := { 0 }  Q := V(g) * While (V-S)

SORTING ALGORIthm, the deference between insertion,selection and bubble sor...

the deference between insertion,selection and bubble sort

Process of decision making under uncertainty, (a) Describe the steps involv...

(a) Describe the steps involved in the process of decision making under uncertainty. (b) Explain the following principles of decision making: (i) Laplace, (ii) Hurwicz. (c

Algorithmss, calculate gpa using an algorithm

calculate gpa using an algorithm

Procedures, what is far and near procedures in system programming?

what is far and near procedures in system programming?

Random searching, write a program that find,search&replace a text string

write a program that find,search&replace a text string

Type of qualitative method, Type of Qualitative Method: Different  qua...

Type of Qualitative Method: Different  qualitative methods are suitable for different  types of study. Quite often we can  combine  qualitative and quantitative  methods. Many

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