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Questions and Answers
What is the primary purpose of a postorder traversal in a file directory?
What is the primary purpose of a postorder traversal in a file directory?
In a binary tree, what is the order of visiting nodes in an inorder traversal?
In a binary tree, what is the order of visiting nodes in an inorder traversal?
What is the purpose of the BinaryNode class?
What is the purpose of the BinaryNode class?
What is the main difference between a preorder traversal and an inorder traversal?
What is the main difference between a preorder traversal and an inorder traversal?
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What is the name of the algorithm used to perform a postorder traversal on a binary tree?
What is the name of the algorithm used to perform a postorder traversal on a binary tree?
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What is the purpose of the insert function in a binary search tree?
What is the purpose of the insert function in a binary search tree?
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What is the type of tree that is required for an inorder traversal?
What is the type of tree that is required for an inorder traversal?
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What is the name of the function used to perform a preorder traversal on a binary tree?
What is the name of the function used to perform a preorder traversal on a binary tree?
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What is the main advantage of using a binary search tree?
What is the main advantage of using a binary search tree?
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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
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Description
Learn about trees in data structures, including their properties and characteristics, and how they are structured with nodes and sub-trees.
