## What is binary tree explain with example?

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 are the types of tree in data structure?

Heap trees are used for heap sort. Modern routers use a type of tree called Tries for storing routing information. The B-Trees and the T-Trees are mostly used by popular databases to store their data. A syntax tree is used by compilers to validate the syntax of every written program.

Who invented the VEB also known as Van Emde Boas tree?

Peter van Emde Boas
A van Emde Boas tree (Dutch pronunciation: [vɑn ˈɛmdə ˈboːɑs]), also known as a vEB tree or van Emde Boas priority queue, is a tree data structure which implements an associative array with m-bit integer keys….

van Emde Boas tree
Invented 1975
Invented by Peter van Emde Boas
Time complexity in big O notation

What is an unbalanced binary tree?

An unbalanced binary tree is one that is not balanced. A complete binary tree has all levels completely filled, except possibly the last. If a complete tree has maximum depth n, then it has at least 2n and at most 2n+1−1 nodes. A complete tree with exactly 2n+1−1 nodes is called perfect .

### What is an unbalanced node?

If a tree becomes unbalanced, when a node is inserted into the right subtree of the right subtree, then we perform a single left rotation − In our example, node A has become unbalanced as a node is inserted in the right subtree of A’s right subtree. We perform the left rotation by making A the left-subtree of B.

### How do you represent a tree in data structure?

A tree is a representation of the non-linear data structure. A tree can be shown using different user-defined or primitive types of data. We can use arrays, and classes connected lists or other kinds of data structures to implement the tree. It is a group of interrelated nodes.

What is tree data structure in C?

A tree data structure is a non-linear data structure because it does not store in a sequential manner. It is a hierarchical structure as elements in a Tree are arranged in multiple levels. In the Tree data structure, the topmost node is known as a root node. Each node contains some data, and data can be of any type.

What are the main types of data structure?

Eight Data Structures to Master

• Arrays. One of the simplest data structures, an array is a collection of items that are stored sequentially.
• Linked Lists. A linked list is a sequence of items arranged in a linear order all connected to each other.
• Stacks.
• Queues.
• Hash Tables.
• Trees.
• Heaps.
• Graphs.

## What is balanced tree and unbalanced tree?

A balanced binary tree is one in which no leaf nodes are ‘too far’ from the root. For example, one definition of balanced could require that all leaf nodes have a depth that differ by at most 1. An unbalanced binary tree is one that is not balanced.

## Why are balanced binary trees better than unbalanced binary trees?

With a balanced tree, access1 is O(log n). With an unbalanced tree, access1 is O(n) (worst case). That is because an unbalanced tree built from sorted data is effectively the same as a linked list. The space complexity is the same for both types of trees.

What is a balance tree?

A balanced binary tree, also referred to as a height-balanced binary tree, is defined as a binary tree in which the height of the left and right subtree of any node differ by not more than 1.

What is B+ tree in data structure?

A B+ tree is an m-ary tree with a variable but often large number of children per node. A B+ tree consists of a root, internal nodes and leaves. The root may be either a leaf or a node with two or more children.