There is no reason to ever expose the Node class to the public. Get the middle of the linked list and make the middle element as root of the tree. A binary search tree is a binary tree where the value of a left child is less than or equal to the parent node and value of the right child is greater than or equal to the parent node. Perfect Binary Tree. The example of perfect binary tress is: Complete Binary Tree. The recursive solution I propose here works fine for both implementing a binary tree and also a BST. Using in-order traversal. I am mainly building a tree with minimal height. Now we’ll see how to create the same from a sorted linked list. Maximum Number of Nodes in a Binary Tree Approach: i. Thus, a perfect binary tree will have the maximum number of nodes for all alternative binary trees of the same height and it will be $2^{h+1}-1$ which we are going to prove next. A binary search tree or BST is a popular data structure which is used to keep elements in order. This algorithm is known as inorder tree traversal.. The postorder traversal algorithm also runs in O(n) time complexity.. Inorder Tree Traversal. Objective: Given a Binary tree create Linked Lists of all the nodes at each depth , say if the tree has height k then create k linked lists. 1. Since its a binary tree, it can only have 0, 1 or two children. NOTE : This problem is very similar “Print binary tree, each level in one line“ Input: A binary tree Output: K linked lists if the height of tree is k.Each linked list will have all the nodes of each level.

Now, we consider a Tree Traversal Algorithm specifically for binary trees. Since we are inserting the nodes in beginning of the doubly linked list, we need to reverse the linked list so that it follows the same order of nodes as in-order traversal of the tree. In previous problem, we discussed how to create a balanced binary search tree for a sorted array. Perfect Binary Tree → In a perfect binary tree, each leaf is at the same level and all the interior nodes have two children. The idea is to do a in-order traversal of the tree and for every node encountered, we insert it in the beginning of DLL.

Performing a binary search on linked list is never a good idea , as usually its running time can exceed that of standard ( linear ) search. A binary tree is p erfect binary Tree if all internal nodes have two children and all leaves are at the same level. In an inorder tree traversal, we visit a position between the recursive traversals of its left and right subtrees. Method 1: This solution is similar to our previous solution but unlike array accessing middle element of linked list is not O(1).. Unfortunately, your Tree class is public: public class Tree and it has the method: public Node getRoot() { return root; } That method will not be able to work in a public context at all if the calling class is not in the same package as Node (ishan.trees.tree).