Tree Structures Quiz
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Questions and Answers

What are the properties of binary trees?

Binary trees have properties such as left and right subtrees, where each node has at most two children.

What are the operations that can be performed on a binary search tree (BST)?

Operations on a BST include searching for a specific element, inserting a new element, and deleting an element from the tree.

What is the height of a binary search tree (BST)?

The height of a BST is the length of the longest path from the root to a leaf node in the tree.

How are trees and graphs classified as non-linear data structures?

<p>Trees and graphs are non-linear data structures because their elements form a hierarchical classification where data items appear at various levels, representing a hierarchical relationship between individual data elements.</p> Signup and view all the answers

What is the difference between trees and graphs as non-linear data structures?

<p>Graphs are trees with certain restrictions removed, allowing for more general structures, while trees represent a special case of these more general structures.</p> Signup and view all the answers

What is a binary tree?

<p>A binary tree is a tree data structure in which each node has at most two children, referred to as the left child and the right child.</p> Signup and view all the answers

What are the properties of binary trees?

<p>The properties of binary trees include having a maximum of two children per node, and the left and right subtrees of each node being themselves binary trees.</p> Signup and view all the answers

What are the operations associated with binary search trees (BST)?

<p>The operations associated with binary search trees include searching for a specific element, inserting a new element into the BST, and deleting an element from the BST.</p> Signup and view all the answers

What is the height of a binary search tree (BST)?

<p>The height of a binary search tree is the maximum number of edges on the longest path from the root to a leaf node in the tree.</p> Signup and view all the answers

How are trees and graphs different from linear data structures?

<p>Trees and graphs are non-linear data structures, which means their elements form a hierarchical classification, while linear data structures organize data in a linear order or sequence.</p> Signup and view all the answers

Study Notes

Binary Trees

  • A binary tree is a data structure in which each node has at most two children, referred to as the left child and the right child.
  • Properties of binary trees include:
  • Each node has a maximum of two children.
  • Each node represents a value.
  • The left and right subtrees of a node are also binary trees.

Binary Search Trees (BST)

  • A binary search tree (BST) is a binary tree that has the following properties:
  • For any node, all elements in the left subtree are less than the node.
  • For any node, all elements in the right subtree are greater than the node.
  • Operations that can be performed on a BST include:
  • Inserting a new node with a given value.
  • Deleting a node with a given value.
  • Searching for a node with a given value.
  • Traversing the tree in pre-order, in-order, or post-order.

Height of a Binary Search Tree (BST)

  • The height of a BST is the number of nodes along the longest path from the root node to a leaf node.
  • The height of a BST can be used to determine the time complexity of operations such as search and insertion.

Non-Linear Data Structures

  • Trees and graphs are classified as non-linear data structures because they do not store data in a sequential manner.
  • Non-linear data structures are used to represent complex relationships between data elements.

Trees vs Graphs

  • Trees are a type of non-linear data structure in which each node has at most one parent node.
  • Graphs are a type of non-linear data structure in which each node can have multiple parent nodes.
  • Trees are used to represent hierarchical relationships, while graphs are used to represent more complex relationships between data elements.

Differences from Linear Data Structures

  • Linear data structures, such as arrays and linked lists, store data in a sequential manner.
  • Trees and graphs are used to represent more complex relationships between data elements, and are therefore more suitable for certain applications.

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Description

Test your knowledge of trees with this quiz covering topics such as binary trees, binary search trees (BST), tree traversals, and operations such as searching, insertion, and deletion. This quiz explores the terminology, representation, and properties of trees, making it a valuable resource for computer science students and professionals.

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