Post order traversal, Data Structure & Algorithms

Assignment Help:

Post order traversal:

The children of node are visited before the node itself; the root is visited last. Each node is visited after its descendents are visited.

Algorithm for postorder traversal is following:

1. Traverse left sub-tree in post order

2. Traverse right sub-tree in post order

3. visit root node.

Determining the space occupied through files & directories in a file system need a postorder traversal as the space occupied through directory needs calculation of space needed by all files in the directory (children in tree structure)

2078_Post order traversal.png

          Figure:  Calculation of space occupied by a file system: A post order traversal

Since each of the nodes is traversed only once, the time complexity of post order traversal is T(n) = O(n), where n refer to number of nodes in the tree.


Related Discussions:- Post order traversal

Two-dimensional array, Two-dimensional array is shown in memory in followin...

Two-dimensional array is shown in memory in following two ways:  1.  Row major representation: To achieve this linear representation, the first row of the array is stored in th

Tradeoff between space and time complexity, We might sometimes seek a trade...

We might sometimes seek a tradeoff among space & time complexity. For instance, we may have to select a data structure which requires a lot of storage to reduce the computation tim

How will you represent a max-heap sequentially, How will you represent a ma...

How will you represent a max-heap sequentially? Max heap, also known as the descending heap, of size n is an almost complete binary tree of n nodes such that the content of eve

Hash table, Q. Make the 11 item hash table resulting from hashing the given...

Q. Make the 11 item hash table resulting from hashing the given keys: 12, 44, 13, 88, 23, 94, 11, 39, 20, 16 and 5 by making use of the hash function h(i) = (2i+5) mod 11.

Data structure for representing numbers, Your first task will be to come up...

Your first task will be to come up with an appropriate data structure for representing numbers of arbitrary potential length in base 215. You will have to deal with large negative

Programs, Develop a program that accepts the car registration( hint: LEA 43...

Develop a program that accepts the car registration( hint: LEA 43242010)

How do you rotate a binary tree, How do you rotate a Binary Tree?  Rot...

How do you rotate a Binary Tree?  Rotations in the tree: If after inserting a node in a Binary search tree, the balancing factor (height of left subtree - height of right

If, 1. Start 2. Get h 3. If h T=288.15+(h*-0.0065) 4. else if h T=2...

1. Start 2. Get h 3. If h T=288.15+(h*-0.0065) 4. else if h T=216.65 5. else if h T=216.65+(h*0.001) 6. else if h T=228.65+(h*0.0028) 7. else if h T=270.65 8.

Queue, 1. Show the effect of each of the following operations on queue q. A...

1. Show the effect of each of the following operations on queue q. Assume that y (type Character) contains the character ‘&’. What are the final values of x and success (type boole

Dijkstra's algorithm, Q. Explain Dijkstra's algorithm for finding the short...

Q. Explain Dijkstra's algorithm for finding the shortest path in the graph given to us.  Ans: The Dijkstra's algorithm: This is a problem which is concerned with finding

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