A complete binary tree is a binary tree in which all the levels are completely filled except possibly the lowest one, which is filled from the left. A complete binary tree is just like a full binary tree, but with two major differences. All the leaf elements must lean towards the left.

What is a complete binary tree give an example?

Complete Binary Tree: A Binary Tree is a Complete Binary Tree if all the levels are completely filled except possibly the last level and the last level has all keys as left as possible. The following are examples of Complete Binary Trees. 18 / \ 15 30 / \ / \ 40 50 100 40 18 / \ 15 30 / \ / \ 40 50 100 40 / \ / 8 7 9.

Is complete binary tree a full binary tree?

Full v.s. Complete Binary Trees. A full binary tree (sometimes proper binary tree or 2-tree) is a tree in which every node other than the leaves has two children. A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.

What makes a tree complete?

Definition: a binary tree T is full if each node is either a leaf or possesses exactly two child nodes. Definition: a binary tree T with n levels is complete if all levels except possibly the last are completely full, and the last level has all its nodes to the left side.

What is full binary tree *?

A full Binary tree is a special type of binary tree in which every parent node/internal node has either two or no children. … It is also known as a proper binary tree.

What makes a binary tree complete?

A complete binary tree is a binary tree in which all the levels are completely filled except possibly the lowest one, which is filled from the left. All the leaf elements must lean towards the left. The last leaf element might not have a right sibling i.e. a complete binary tree doesn't have to be a full binary tree.

How do you know if a binary tree is complete?

Calculate the number of nodes (count) in the binary tree. Start recursion of the binary tree from the root node of the binary tree with index (i) being set as 0 and the number of nodes in the binary (count). If the current node under examination is NULL, then the tree is a complete binary tree.

What is full tree?

A full binary tree can be defined as a binary tree in which all the nodes have 0 or two children. In other words, the full binary tree can be defined as a binary tree in which all the nodes have two children except the leaf nodes.