10 Major Differences between BST and Binary Tree



BST and binary trees are concepts that aggravate the interest of every programmer in one way or the other!

Both forms an integral part of data structure, but did you know the key differences between them?

For starters, we can say that a Binary search tree is a sorted version of a binary tree, where the value of the right children nodes is greater than the left children nodes and as left subtrees as well. 

But there are certain notable differences between these concepts that you should know.

So let’s get started but besides this, we will also be discussing grid unique paths and the largest BST in binary tree.


Major differences between BST and Binary Tree

From Usage to structural differences we have covered it all regarding a Binary Search Tree (BST) and a Binary Tree:


Definition

A Binary Tree can be defined as a non-linear structural element where each node of the tree leads to one or two nodes at maximum. 

BST can be defined as a structurally organized binary Tree that has been pre-sorted. Here the value of the right children nodes is always greater than the value of the left children nodes. 


Usage

On one hand, we have the Binary Tree which is used for deriving solutions to problems such as deletion, insertion, and traversal. 

On the other hand, we have the BST which is used to derive the solutions to problems related to the binary Tree itself since it is the sorted version of a Binary Tree. 


Structure

In order to understand and navigate the nodes of a Binary Tree, we do not require to follow a definite structure. 

On the other hand, the BST is already structured. And it goes on to say that the value of the left nodes is always lower than the right in a Binary Search Tree. 


Types

The most common types of a Binary Tree are- Extended Binary Tree, Complete Binary Tree, and, Full Binary Tree. 

As for the Binary Search Tree, we have the most common types as Tango Trees, T- Trees, AVL Trees, and Splay Trees. 


Speed

When it comes to solving problems of deletion, insertion, and traversal on a Binary Tree you will find that the procedure is rather slow. 

While on the Binary Search Tree we can perform the same procedures of deletion, insertion, and traversal way faster. 


Hierarchy

If you have observed the structure of a Binary Tree before you would know that the Tree follows a hierarchical order, from the root node to the left nodes of the tree.

On the other hand, since the Binary Search Tree is an already sorted structure, it loses its hierarchical order. 


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