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

Convertion, how we can convert a graph into tree

how we can convert a graph into tree

Graph & optimal scheduling, You are given an undirected graph G = (V, E) in...

You are given an undirected graph G = (V, E) in which the edge weights are highly restricted. In particular, each edge has a positive integer weight of either {1,2,...,W}, where W

The complexity of searching an element, The complexity of searching an elem...

The complexity of searching an element from a set of n elements using Binary search algorithm is   O(log n)

Doubly linked lists-implementation, In any singly linked list, each of the ...

In any singly linked list, each of the elements contains a pointer to the next element. We have illustrated this before. In single linked list, traversing is probable only in one d

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

Explain the theory of computational complexity, Explain the theory of compu...

Explain the theory of computational complexity A  problem's  intractability  remains  the  similar  for  all  principal  models  of   computations    and   all reasonable inpu

Stack, Explain in detail the algorithmic implementation of multiple stacks....

Explain in detail the algorithmic implementation of multiple stacks.

Linked list implementation of a queue, The fundamental element of linked li...

The fundamental element of linked list is a "record" structure of at least two fields. The object which holds the data & refers to the next element into the list is called a node .

In order post order, illlustraate the construction of tree of a binary tree...

illlustraate the construction of tree of a binary tree given its in order and post order transversal

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