## Difference between binary tree and binary search tree?

## Difference between binary tree and binary search tree?

public static boolean isBinarySearchTree(Tree root) { if(root==null) return false; isBinarySearchTree(root.left); if(tree.data<temp) return false; else temp=tree.data; isBinarySearchTree(root.right); return true; }

To check wheather or not a given Binary Tree is Binary Search Tree here's is an Alternative Approach .

Traverse Tree In Inorder Fashion (i.e. Left Child --> Parent --> Right Child ) , Store Traversed Node Data in a temporary Variable lets say temp , just before storing into temp , Check wheather current Node's data is higher then previous one or not . Then just break it out , Tree is not Binary Search Tree else traverse untill end.

## Difference between binary tree and binary search tree?

boolean b = new Sample().isBinarySearchTree(n1, Integer.MIN_VALUE, Integer.MAX_VALUE); ....... ....... ....... public boolean isBinarySearchTree(TreeNode node, int min, int max) { if(node == null) { return true; } boolean left = isBinarySearchTree(node.getLeft(), min, node.getValue()); boolean right = isBinarySearchTree(node.getRight(), node.getValue(), max); return left && right && (node.getValue()<max) && (node.getValue()>=min); }

As everybody above has explained about the difference between binary tree and binary search tree, i am just adding how to test whether the given binary tree is binary search tree.

Hope it will help you. Sorry if i am diverting from the topic as i felt it's worth mentioning this here.

## Difference between binary tree and binary search tree?

A binary search tree (BST) or "ordered binary tree" is a type of binary tree where the nodes are arranged in order: for each node, all elements in its left subtree are less to the node (<), and all the elements in its right subtree are greater than the node (>). The tree shown above is a binary search tree -- the "root" node is a 5, and its left subtree nodes (1, 3, 4) are < 5, and its right subtree nodes (6, 9) are > 5. Recursively, each of the subtrees must also obey the binary search tree constraint: in the (1, 3, 4) subtree, the 3 is the root, the 1 < 3 and 4 > 3.

A binary tree is made of nodes, where each node contains a "left" pointer, a "right" pointer, and a data element. The "root" pointer points to the topmost node in the tree. The left and right pointers recursively point to smaller "subtrees" on either side. A null pointer represents a binary tree with no elements -- the empty tree. The formal recursive definition is: a binary tree is either empty (represented by a null pointer), or is made of a single node, where the left and right pointers (recursive definition ahead) each point to a binary tree.

Watch out for the exact wording in the problems -- a "binary search tree" is different from a "binary tree".

## Difference between binary tree and binary search tree?

- left child node is smaller than its parent Node

- right child node is greater than its parent Node

Binary Search Tree (BST) is a special type of Binary Tree that follows following condition:

Binary Tree is a specialized form of tree with two child (left child and right Child). It is simply representation of data in Tree structure

These conditions are not sufficient. The entire left subtree must contain no keys only less than the parent's, and the entire right subtree must contain nodes greater.

## Difference between binary tree and binary search tree?

## Difference between binary tree and binary search tree?

## Difference between binary tree and binary search tree?

5 / \ 3 6 / \ \ 1 4 9

A binary search tree (BST) or "ordered binary tree" is a type of binary tree where the nodes are arranged in order: for each node, all elements in its left subtree are less to the node (<), and all the elements in its right subtree are greater than the node (>).

A binary tree is made of nodes, where each node contains a "left" pointer, a "right" pointer, and a data element. The "root" pointer points to the topmost node in the tree. The left and right pointers recursively point to smaller "subtrees" on either side. A null pointer represents a binary tree with no elements -- the empty tree. The formal recursive definition is: a binary tree is either empty (represented by a null pointer), or is made of a single node, where the left and right pointers (recursive definition ahead) each point to a binary tree.

The tree shown above is a binary search tree -- the "root" node is a 5, and its left subtree nodes (1, 3, 4) are < 5, and its right subtree nodes (6, 9) are > 5. Recursively, each of the subtrees must also obey the binary search tree constraint: in the (1, 3, 4) subtree, the 3 is the root, the 1 < 3 and 4 > 3.

Watch out for the exact wording in the problems -- a "binary search tree" is different from a "binary tree".

What "tree shown above?" Did you forget to include a tree image in your answer?

## Difference between binary tree and binary search tree?

**unbalanced and not sorted**

A binary search tree of size 9 and depth 3, with 8 at the root. The leaves are not drawn.

A tree representing binary search. The array being searched here is [20, 30, 40, 50, 90, 100], and the target value is 40.

And finally great schema for performance comparison of well-known data-structures and algorithms applied:

Binary Search is technique/algorithm which is used to find specific item on node chain. Binary search works on sorted arrays.

Binary search compares the target value to the middle element of the array; if they are unequal, the half in which the target cannot lie is eliminated and the search continues on the remaining half until it is successful or the remaining half is empty. https://en.wikipedia.org/wiki/Binary_search_algorithm

Binary search tree and B-tree data structures are based on binary search.

Binary search trees (BST), sometimes called ordered or sorted binary trees, are a particular type of container: data structures that store "items" (such as numbers, names etc.) in memory. https://en.wikipedia.org/wiki/Binary_search_tree

Binary tree can be anything which has 2 child and 1 parent. It can be implemented as linked list or array, or with your custom API. Once you start to add more specific rules into it, it becomes more specialized tree. Most common known implementation is that, add smaller nodes on left and larger ones on right.

For example, in the tree on the left, A has the 6 children {B,C,D,E,F,G}. It can be converted into the binary tree on the right.

This is one of the implementations of binary tree. This is specialized for searching.

## Discussion