Trees: Hierarchical Data Structures

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What is the maximum number of children a node can have in a binary tree?

3

4

0

2 (correct)

What is the definition of an internal node in a binary tree?

A leaf node

A node with no children

A node with two children (correct)

A node with one child

What is the formal recursive definition of a binary tree?

Contains no nodes

Contains exactly three nodes

Contains only leaf nodes

Contains a root, left subtree, and right subtree (correct)

What is the minimum number of nodes in a binary tree with height h?

$h+1$ Signup and view all the answers

What is the unique path property in a binary tree?

A unique path exists from the root to every other node Signup and view all the answers

What is the maximum number of nodes in a binary tree with height h?

$2^h-1$ Signup and view all the answers

What are the two types of nodes in a binary tree?

Internal and external Signup and view all the answers

What is true about the implementation of downward and horizontal links in a binary tree?

Downward links are to the first child, and horizontal links are to the next sibling Signup and view all the answers

What are the uses of Binary Search Trees (BST)?

For storing and retrieving information faster than with an array data structure Signup and view all the answers

Why can't a node in a binary tree have more than two children?

To adhere to the formal definition of a binary tree Signup and view all the answers

What is the hierarchical nature of trees in data structures?

They can be connected to one or more nodes Signup and view all the answers

What is a possible reason for using trees in data structures?

Storing information in a hierarchy, such as the file system on a computer Signup and view all the answers

What is the recursive definition of a tree?

A collection of nodes with a root node and directed edges to subtrees Signup and view all the answers

What are nodes with no children called in a tree data structure?

Leaves Signup and view all the answers

How is the level of a node defined in a tree data structure?

It is the depth of the node in the tree Signup and view all the answers

What is the height of a leaf node in a tree data structure?

The length of the longest path from the leaf node to an ancestor node Signup and view all the answers

Trees: Hierarchical Data Structures

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