2) Strictly Binary Tree. Check whether the Binary tree is a full binary tree or not. In the above tree, we can observe that each node is either containing zero or two children; therefore, it is a Full Binary tree. Below is a balanced binary tree but not a complete binary tree. A complete binary tree is a binary tree in which at every level, except possibly the last, has to be filled and all nodes are as far left as possible. In other words, if all the nodes other than leaf nodes has 0 or 2 children, then that it is Full Binary Tree. 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 whose all levels except the last level are completely filled and all the leaves in the last level are all to the left side. Let’s see some examples: In other words, we can also say that except leaf nodes every node has 2 child nodes. The full binary tree can also be defined as the tree in which each node must contain 2 children except the leaf nodes. Given a Binary Tree. Consider the following tree, which is complete binary tree: Note: Full binary tree is also called complete binary tree. If for a tree, the balance factor (k) is equal to zero, then that tree is known as a fully balanced binary tree. Full Binary Trees. 2.2. A balanced binary tree is the binary tree where the depth of the two subtrees of every node never differ by more than 1. Height balanced binary trees can be denoted by HB(k), where k is the difference between heights of left and right subtrees. A Binary tree is said to be Full Binary Tree, if all its internal nodes has 0 or 2 children. A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes in the last level are filled in left to right order. A Binary Tree whose root and intermediate nodes have 2 child nodes. 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. Explanation: A binary tree, which is completely filled, with the possible exception of the bottom level, which is filled from left to right is called complete binary tree. It means all the leaf nodes should be at the same level and all other internal nodes should contain two child nodes each. A full binary tree is also known as 2-tree in which every node other than the leaf nodes has two child nodes. Note that the definitions, while similar, are logically independent. Full or Strict Binary Tree. Complete Binary Tree. Example. ‘k’ is known as the balance factor. Full and Complete Binary Trees Here are two important types of binary trees. Let's look at the simple example of the Full Binary tree. Note: Number of leaf nodes in a full binary tree: Number of internal nodes+1. Also, in the last or the lowest level of this binary tree, every node should possibly reside on the left side. 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. Definition: a binary tree T is full if each node is either a leaf or possesses exactly two child nodes. In other words, all of the nodes in a Full or strictly binary tree are of degree zero or two, never degree one. IF L is the level of complete binary tree then 2 L – 1 nodes present in the tree. A complete binary tree is another specific type of binary tree where all the tree levels are filled entirely with nodes, except the lowest level of the tree. Here is the structure of a full binary tree: 2. Complete Binary Tree. A Tree in which each node has exactly zero or two children is called full binary tree. A full binary tree which is also called as proper binary tree or 2-tree is a tree in which all the node other than the leaves has exact two children.

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