Inorder traversal, Data Structure & Algorithms

Assignment Help:

Inorder traversal: The left sub tree is visited, then the node and then right sub-tree.

Algorithm for inorder traversal is following:

  1. traverse left sub-tree
  2. visit node
  3. traverse right sub-tree

2209_Inorder traversal.png

Figure: An expression tree: An inorder traversal

Inorder traversal can be best explained by an expression tree, where the operators are at parent node & operands are at leaf nodes.

Let us assume the above expression tree .The postorder , preorder, and inorder traversal are following:

preorder Traversal :  + * / 4 2 7 - 3 1

 postorder traversal :  4 2 / 7 * 3 1 - +

inorder traversal    :  - ((((4 / 2) * 7) + (3 - 1))

 

There is another tree traversal (certainly, not very common) is called level order, where all the nodes of the similar level are first travelled starting from the root .

271_Inorder traversal1.png

Figure: Tree Traversal: Level Order


Related Discussions:- Inorder traversal

Explain np-complete decision problem, a. Determine the result of inserting ...

a. Determine the result of inserting the keys 4,19, 17, 11, 3, 12, 8, 20, 22, 23, 13, 18, 14, 16, 1, 2, 24, 25, 26, 5 in order to an empty B-Tree of degree 3. Only draw the configu

Draw a flowchart to input start time and end time of vehicle, Speed cameras...

Speed cameras read the time a vehicle passes a point (A) on road and then reads time it passes a second point (B) on the same road (points A and B are 100 metres apart). Speed of t

What is string, What is String Carrier set of the String ADT is the s...

What is String Carrier set of the String ADT is the set of all finite sequences of characters from some alphabet, including empty sequence (the empty string). Operations on s

Stacks, Q. Explain w hat are the stacks? How can we use the stacks  to chec...

Q. Explain w hat are the stacks? How can we use the stacks  to check whether an expression is correctly parentheses or not. For example (()) is well formed but (() or )()( is not w

Draws a rectangular grid algorithms, Prepare a GUI called Hotplate GUI that...

Prepare a GUI called Hotplate GUI that holds a central panel that draws a rectangular grid that represents Element objects which should be held in a 2-dimensional array. The applic

Find the optimal control, 1. Use the Weierstrass condition, find the (Stron...

1. Use the Weierstrass condition, find the (Strongly) minimizing curve and the value of J min for the cases where x(1) = 0, x(2) = 3. 2. The system = x 1 + 2u; where

Briefly explain the prim''s algorithm, Question 1 Describe the following- ...

Question 1 Describe the following- Well known Sorting Algorithms Divide and Conquer Techniques Question 2 Describe in your own words the different asymptotic func

Rl rotation - avl tree, Example: (Double left rotation while a new node is ...

Example: (Double left rotation while a new node is added into the AVL tree (RL rotation)) Figure: Double left rotation when a new node is inserted into the AVL tree A

Insertion of a node into an avl tree, Initially Nodes are inserted in an AV...

Initially Nodes are inserted in an AVL tree in the same manner as an ordinary binary search tree. Though, the insertion algorithm for any AVL tree travels back along with the pa

Write an algorithm to display this repeated calculation, The following form...

The following formula is used to calculate n: n = x * x/(1 - x) . Value x = 0 is used to stop algorithm. Calculation is repeated using values of x until value x = 0 is input. There

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