Implement different search algorithms : Introduction to Trees and Binary Search Trees

The video tutorial introduces trees as abstract, nonlinear data structures, focusing on binary and binary search trees. It explains tree structures, rules, and applications in computing, such as organizational charts and decision trees. The tutorial covers binary tree rules, binary search tree operations, and complexities, highlighting the importance of node ordering. It also demonstrates constructing and traversing a binary search tree, emphasizing in-order traversal for sorted representation.

What is a key difference between trees and linear data structures like linked lists?

• Trees have cycles, while linked lists do not.

• Trees are nonlinear, while linked lists are linear.

• Trees have multiple roots, while linked lists have one.

• Trees have only one child per node, while linked lists have two.

Which of the following is NOT allowed in a tree structure?

• A node having multiple children

• A node having no children

• A tree having a single root

• A node having multiple parents

What is the height of a tree?

• The number of nodes in the tree

• The number of levels from the root to the leaf nodes

• The number of child nodes a root has

• The number of edges in the tree

In a binary tree, what is the maximum number of children a node can have?

• One

• Four

• Two

• Three

What additional rule does a binary search tree impose compared to a binary tree?

• Each node must have exactly two children.

• Each node on the left must be smaller than the node, and each node on the right must be larger.

• Each node must be connected to the root.

• Each node must have a unique value.

What is a potential issue with binary search trees that AVL trees aim to solve?

• Difficulty in traversal

• Inability to store duplicate values

• Imbalance leading to inefficient operations

• Excessive memory usage

Which traversal method provides a sorted representation of a binary search tree?

• Pre-order traversal

• Post-order traversal

• In-order traversal

• Level-order traversal

What is the first step in constructing a binary search tree?

• Insert nodes randomly

• Insert the first node as the root

• Insert nodes in alphabetical order

• Insert the largest node as the root

In a binary search tree, where is a node with a value less than the root placed?

• Below the root

• At the root

• To the left of the root

• To the right of the root

What is the result of an in-order traversal of a binary search tree?

• A list of nodes in level order

• A list of nodes in ascending order

• A list of nodes in random order

• A list of nodes in descending order