9 Questions
What is the primary purpose of a postorder traversal in a file directory?
To compute the total space used by files in a directory and its subdirectories
In a binary tree, what is the order of visiting nodes in an inorder traversal?
Left-Root-Right
What is the purpose of the BinaryNode class?
To represent a node in a binary tree
What is the main difference between a preorder traversal and an inorder traversal?
The order of visiting nodes
What is the name of the algorithm used to perform a postorder traversal on a binary tree?
postOrder
What is the purpose of the insert function in a binary search tree?
To insert a new node into a binary search tree
What is the type of tree that is required for an inorder traversal?
Binary tree
What is the name of the function used to perform a preorder traversal on a binary tree?
preorder
What is the main advantage of using a binary search tree?
It allows for fast sorting
Study Notes
What is a Tree?
- A tree is a collection of nodes with specific properties
- A tree can be empty or consist of a root node and zero or more non-empty subtrees connected by directed edges
- The root node is the parent of each subtree root, and each subtree root is a child of the root node
- A tree with N nodes has N-1 edges
Preliminaries
- A node can have multiple children, and a child node has only one parent
- Leaf nodes have no children
- Sibling nodes have the same parent node
- A path is a sequence of nodes where each node is the parent of the next node
- The length of a path is the number of edges in the path
- The depth of a node is the length of the path from the root to the node
- The height of a node is the length of the longest path from the node to a leaf node
Implementation of Trees
- A tree can be implemented using a struct with pointers to the first child and next sibling nodes
- Each node has an element and pointers to its first child and next sibling nodes
Binary Trees
- A binary tree is a tree where each node has at most two children
- The depth of a node can be as large as N-1 in the worst case
- A binary tree consists of a root node and two subtrees, which can be empty
Tree Traversals
Postorder Traversal
- A node is visited after its descendants
- Application: compute space used by files in a directory and its subdirectories
Inorder Traversal
- Left node is visited, then the Root node, and finally the right node (for binary trees)
- Application: fast sorting on binary search trees
Binary Tree Traversals
- There are three types of traversals: preorder, inorder, and postorder
The BinaryNode Class
- A template class for binary nodes with an element, left child, and right child
Preorder, Inorder, and Postorder Traversal Functions
- Each function has a specific order of visiting nodes in a tree
Learn about trees in data structures, including their properties and characteristics, and how they are structured with nodes and sub-trees.
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