## What is the Time complexity of searching in AVL tree?

Searching: For searching element 1, we have to traverse elements (in order 5, 4, 1) = 3 = log2n. Therefore, searching in AVL tree has worst case complexity of O(log2n).

## What is a multiway search tree?

The m-way search trees are multi-way trees which are generalised versions of binary trees where each node contains multiple elements. In an m-Way tree of order m, each node contains a maximum of m – 1 elements and m children.

**What is multiway search tree explain with example?**

A multiway tree is defined as a tree that can have more than two children. If a multiway tree can have maximum m children, then this tree is called as multiway tree of order m (or an m-way tree).

**What are the advantages of multiway search tree in disc access?**

A B+ Tree has following advantages to that of B Tree:

- Keys are used for indexing.
- It supports both sequential and random access to records.
- The height of the tree is balanced and less.
- The records can be fetched in equal number of disk accesses.
- Leaf nodes are linked to the nodes at the upper level.

### How do you find the time complexity of a tree?

In best case,

- The binary search tree is a balanced binary search tree.
- Height of the binary search tree becomes log(n).
- So, Time complexity of BST Operations = O(logn).

### What is the time complexity for searching an element in a binary search tree?

In any binary search tree the time complexity taken is O(h), where h is the height of the tree.. Since it is given that tree is balanced binary search tree so searching for an element in worst case is O(logn).

**What is the best case complexity of binary search tree Mcq?**

Explanation: The best case occurs when the BST is balanced. So, when tree is balanced we require O(nlogn) time to build the tree and O(n) time to traverse the tree. So, the best case time complexity of the binary tree sort is O(nlogn).

**What is the time complexity for finding height of binary tree?**

h = O(log n)

## What is the difference between BST and AVL tree?

In BST, there is no term exists, such as balance factor. In the AVL tree, each node contains a balance factor, and the value of the balance factor must be either -1, 0, or 1. Every Binary Search tree is not an AVL tree because BST could be either a balanced or an unbalanced tree.

## Is B-tree a multiway tree?

A B-tree of order m is a multiway search tree in which: The root has at least two subtrees unless it is the only node in the tree.

**How does a B+ tree work?**

B+ Tree is an extension of B Tree which allows efficient insertion, deletion and search operations. In B Tree, Keys and records both can be stored in the internal as well as leaf nodes. Whereas, in B+ tree, records (data) can only be stored on the leaf nodes while internal nodes can only store the key values.