## How do you traverse a binary tree, Mathematics

Assignment Help:

How do you traverse a Binary Tree?  Describe Preorder, Inorder and Postorder traversals with example.

Ans: Traversal of tree means tree searching for a aim. The aim may be for searching or sorting of the items consisted of in a tree. A tree may consist of an item at its node as a label.

Traversing a tree is a recursive process. To apply this, a tree is considered to comprise three components: root, left subtree and right subtree. These three components can be in order in six different ways: (left, root, right), (root, left, right), (left, right, root), (right, left, root), (right, root, left) and (root, right, left). The first three are used while the last three combinations are of no make use of as it alters the positions of a node in a positional tree.

Inorder Traversal: In this type of traversal, a tree is traversed in the sequence: Left subtree, Root, Right subtree.

In the above expression, start at the root node marked, +. As first we have to traverse its left subtree, thus move to the root of left subtree that is node marked, *. Once again it has a left subtree with root node marked +, visit it. This subtree has a node labeled 3 that has no left subtree, thus out put 3. Then root of this subtree that is '+' and then right subtree which is once again a node labeled with 4, so output it. So we have expression acquired till here is 3 + 4.

Proceeding this way we acquire (3+4)*(5-2) + (-5). Parentheses signify both precedence and portion of the sub tree to which this sub-expression corresponds.

Preorder Traversal: In this type of traversal a tree is traversed in the sequence: Root, Left subtree, Right subtree. Apply the algorithm recursively till all nodes have been visited, we acquire + * + 3 4 - 5 2 -5.

Postorder Traversal: In this type of traversal a tree is traversed in the sequence: Left subtree, Right subtree, Root. We acquire 3 4 + 5 2 - * 5 - +.

#### Multiplication, what is 90005+890+098876-89

what is 90005+890+098876-89

#### Linear programming, what is the advantage of dual linear problem programmin...

what is the advantage of dual linear problem programming when we maximize profit then what is need to minimize cost of the same problem

#### Polygon on a coordinate, a square tile measures 12 inches by 12 inches each...

a square tile measures 12 inches by 12 inches each unit on a coordinate grid represents 1 inch (1,1) and (1,13) are two of the coordinate of the tile drawn on the grid what are the

cosx

nC6:n-3C3=91:4

#### Differential equation, Verify Liouville''''s formula for y "-y" - y'''' + y...

Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)

#### Relative measures of dispersion, Relative measures of dispersion Defi...

Relative measures of dispersion Definition of Relative measures of dispersion: A relative measure of dispersion is a statistical value that may be utilized to compare va

#### Diving by a decimal, 7 divided by 66.5

7 divided by 66.5

#### Pairs of straight lines, The equation ax2 + 2hxy + by2 =0 represents a pair...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

r=asin3x

### Write Your Message!  #### 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!