# binary tree and binary search tree

In that case, the operations can take linear time. In a binary search tree, the left subtrees contain nodes that are less than or equal to the root node and the right subtree has nodes that are greater than the root node. Both the left and right subtrees must also be binary search trees. The Binary Tree and Binary Search Tree are two tree data structures. A binary tree is a non linear data structure where each node can have at most 2 child nodes. The left and right subtree each must also be a binary search tree. The examples of such binary trees are given in Figure 2. Step 1 & 2. Consider the binary tree shown in the example above. Store the in-order traversal of Binary Tree in an array. A binary search tree fulfills all the properties of the binary tree and also has its unique properties. Some binary trees can have the height of one of the subtrees much larger than the other. It means, we can iterate all the values of the BST in sorted order. The right subtree of a node contains only nodes with keys greater than the node’s key. 1 …array, the left subtree is the sub-array to the left of the root, and the right subtree is the sub-array to the right of the root. In case the tree is binary, each node has at most two children. Left subtree of a node contains all the nodes having values lesser than the node. A Binary Search Tree is a Binary tree in which all the nodes has following properties. Binary Search Tree is a node-based binary tree data structure which has the following properties: The left subtree of a node contains only nodes with keys lesser than the node’s key. Explanation. The BST has an important property: every node’s value is strictly greater than the value of its left child and strictly lower than the value of its right child. Assume a BST is defined as follows: The left subtree of a node contains only nodes with keys less than the node's key. A sorted array can be presented as a binary search tree: the "value at the root" is simply the middle element of the… – Joshua Taylor Feb 5 '14 at 20:55. The tree consists of nodes. Binary search tree, then, is really just a sort of interface or presentation of some data. The height of a randomly generated binary search tree is O(log n). In the above image {2,5,11,4} are the leaf nodes. Right subtree of a node contains all the nodes having values higher than the node. Binary Search Tree is usually represented as an acyclic graph. Q #5) Is Binary Search Tree Unique? The binary search tree is a binary tree where the left child contains only nodes with values less than or equal to the parent node, and where the right child only contains nodes with values greater than to the parent node. if a node have 0 child nodes then it is called a leaf node. Given a binary tree, determine if it is a valid binary search tree (BST). Both the left and right subtree is also a Binary Search Tree. 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