What is an empty tree?
Empty (Null)-tree: a tree without any node. Root-tree: a tree with only one node. Two tree: a binary tree that either is empty or each non-leaf has two children. Heap: a tree where parent node has bigger (smaller) value than children.
How do you get BST from inorder?
Construct Special Binary Tree from given Inorder traversal
- Find index of the maximum element in array.
- Create a new tree node ‘root’ with the data as the maximum value found in step 1.
- Call buildTree for elements before the maximum element and make the built tree as left subtree of ‘root’.
Can you have an empty tree?
A tree is a nonlinear data structure, compared to arrays, linked lists, stacks and queues which are linear data structures. A tree can be empty with no nodes or a tree is a structure consisting of one node called the root and zero or one or more subtrees.
How to check if a binary search tree ( BST )?
We can compare a node with every node in the left-subtree (to be smaller) and right-subtree (to be greater). Performing this test for every node in the tree will determine if the binary tree is a BST. In this approach, we are at least comparing every node with every other node. Hence the time complexity is at least O (N²) for a tree with N nodes.
What are the properties of a binary search tree?
A binary search tree (BST) is a node based binary tree data structure which has the following properties
Which is greater the root or the left subtree in BST?
In BST, all nodes in the left subtree are less than the root, and all the nodes in the right subtree are greater than the root. In the above example, all the elements in the left-subtree (i.e. green) are smaller than root (i.e. 26). Whereas all the nodes in right-subtree (i.e. blue) are greater than the roo (i.e. 26).
How to search binary search tree in inorder fashion?
We know that the inorder traversal of a binary search tree gives a sorted order of its elements. We shall use this to our advantage and traverse the tree in inorder fashion and store the elements in an array. We shall then traverse the array in a linear manner and check if its in sorted order or not.