# Is a full binary tree is also a complete binary tree?

## Is a full binary tree is also a complete binary tree?

Every full binary tree is also a complete binary tree. No binary tree is both complete and full. In the following answers, the operator ‘^’ indicates power.

What is full binary tree and give an example?

Full Binary Tree A Binary Tree is a full binary tree if every node has 0 or 2 children. The following are the examples of a full binary tree. We can also say a full binary tree is a binary tree in which all nodes except leaf nodes have two children. An example of a Perfect binary tree is ancestors in the family.

What is the difference between binary tree strictly binary tree and complete binary tree?

Strictly Binary Tree:Every node except the leaf nodes have two children or only have a root node. Full Binary Tree: A binary tree of H strictly(or exactly) containing 2^(H+1) -1 nodes , it’s clear that which every level has the most nodes. Or in short a strict binary tree where all leaf nodes are at same level.

### Is a full binary tree balanced?

Every complete binary tree is balanced but not the other way around. As implies, in a complete tree, always the level difference will be no more than 1 so it is always balanced.

Is a heap a complete binary tree?

The Heap is a Complete Binary Tree. At each level of a Complete Binary Tree, it contains the maximum number of nodes. But, except possibly the last layer, which also must be filled from left to right.

What is not a binary tree?

A non-binary, or multifurcating, tree is a tree in which at least one node has more than two children. Such nodes are referred to as polytomies, or non-binary nodes. Polytomies are drawn as vertical edges with more than two children. This tree contains only one polytomy, indicated by the arrow.

#### What is a perfect binary tree?

A perfect binary tree is a binary tree in which all interior nodes have two children and all leaves have the same depth or same level. An example of a perfect binary tree is the (non-incestuous) ancestry chart of a person to a given depth, as each person has exactly two biological parents (one mother and one father).

What is the height of a full binary tree?

Let’s recap some of the properties of complete binary tree. A complete binary tree of height h has between 2 h to 2 h+1 –1 nodes. The height of such a tree is log 2N where N is the number of nodes in the tree. Because the tree is so regular, it can be stored in an array.

What is a full tree?

A full binary tree (sometimes referred to as a proper or plane binary tree) is a tree in which every node has either 0 or 2 children. Another way of defining a full binary tree is a recursive definition. A full binary tree is either: A single vertex.

## What is a complete tree?

A complete tree is a tree in which every level is completely filled and an Almost complete tree is a tree in which if last level is not completely filled then all nodes are as far as left as possible. my confusion is in following example of binary tree: