# Binary Tree to List in Order

# Binary Tree to List in Order

In computer science, binary trees are a frequent data structure, yet there are occasions when we need to turn a binary tree together into list in order. The definition of a binary tree, the meaning of converting it into an ordered list in order, and the process for doing so are all covered in this article.

## Binary Trees:

A binary tree is a data structure that resembles a tree in which each node has a maximum of two offspring, known as the left child as well as the right child. All subsequent nodes in the tree can be considered the left or right children of another node, with the first node on a tree being known as the root.

To describe hierarchical structures like file directories or organisational charts, binary trees are frequently utilised. Moreover, they are utilised in a variety of data structures and techniques, including heaps and binary search trees.

### Binary Tree to Ordered List Conversion:

A list that includes all the entries inside the tree in a certain order is produced when a binary tree is converted to a list in order. In this instance, we'll be making a list where the values are arranged in accordance with where they are in the tree. The following algorithm will decide the order:

- Follow the root's left subtree in order.
- Visit the source.
- Order the right subtree of the root.

This algorithm will allow us to visit each node in the tree sequentially, starting at the leftmost node, moving on to the root, and ending at the rightmost node.

### How to Convert a Binary Tree to an Ordered List:

We can create an algorithm to carry out this conversion now that we know how to create a number in order from such a binary tree. A step-by-step tutorial for transforming a binary tree to a list in order is provided below:

- Make a list that is empty to store the values.
- Return an empty list if the tree's root is null.
- Append all values towards the list after iteratively traversing the root's left subtree.
- Add the root's value to the list.
- Append all values to the list after iteratively traversing the right subtree of a root.
- Send back the finished list.

def binary_tree_to_list_in_order(root):

result = []

if root is None:

return result

result.extend(binary_tree_to_list_in_order(root.left))

result.append(root.value)

result.extend(binary_tree_to_list_in_order(root.right))

return result

## Applications:

There are numerous uses in computer science for convert a binary tree to an ordered list. Here are a few illustrations:

### Searching:

Searching techniques like binary search trees frequently employ binary trees. We may quickly look for a certain value in a binary search tree by converting it to a list in order. To quickly locate the desired value in the list, we utilise binary search.

### Sorting:

With sorting algorithms like heapsort, binary trees may be utilized as well. We can quickly sort the data in a binary tree by converting it to a list in order. We merely turn the binary tree into an ordered list, sort it, and then turn the list back into a binary tree.

### Serialization:

For storage or communication, binary trees could be converted into a string format. We can quickly serialise a binary tree by converting it to a list in order. We only create an orderly list from the tree and concatenate the values to create a string.

### Displaying:

For visual purposes, binary trees could be visually depicted. We can quickly display a binary tree by converting it to a list in order. The tree is simply converted to a list in order, and the nodes & edges of the tree are then drawn using the list.

## Conclusion:

In computer science, converting a binary tree to a list in order can be used for a variety of purposes, including searching, sorting, serialisation, and visualisation. It is a helpful tool to have as part of your programming arsenal, and knowing how to do this transformation can help you create data and algorithm structures that are more effective and efficient.

This article has covered the definition of a binary tree, how to do it, and what it implies to convert a binary tree to a list in order. Several algorithms and data structures can benefit from the ability to convert binary trees to lists in order, thus it's critical to comprehend the process. The above-described procedure allows you to create a list ordered from a binary tree in just a few easy steps.