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Trees - Data structures in C/Java

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This document discusses binary trees as a data structure for storing hierarchical data. It defines key tree terminology like root, parent, child, and leaf nodes. It provides examples of how binary trees can be used to represent expressions and for file compression. It also introduces a BinaryTreeNode inner class to represent individual nodes, with constructors to initialize the data, left, and right references. Code is provided to build sample trees from these nodes and an example recursive size method is given.

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Binary Trees Data Structures and Design in Java © Rick Mercer
[object Object],[object Object],[object Object],[object Object],[object Object],Outline
Storing Many Objects ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Another Linked Structure ,[object Object],[object Object],1 3 2 root edges nodes
First Some Definitions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
General Trees ,[object Object],[object Object],[object Object],[object Object],[object Object],A D B C F E Trees have layers of nodes, where some are higher, others are lower.
Some tree terminology ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Applications of trees ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],A tree
Binary Trees ,[object Object],[object Object],[object Object],A C B F D E
Binary Tree Defined ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Application: Expression Trees ,[object Object],[object Object],- 1 + 3 * The expression: ((3+(7*2))-1) Each parenthesized expression becomes a tree. Each operand is a leaf, each operator is an internal node 7 2
Evaluating the Expression tree ,[object Object],[object Object],[object Object],[object Object],* 3 + 2 4 * 3 6 18
Huffman Coding Tree ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],'e' 't' 'a'
An inner class will be used to store one node of a binary tree ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
A Third Constructor ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
class BinaryTreeNode ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Build a Tree with Three Nodes ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],"1" "3" "2" root
Recursion and Trees ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Active Learning ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Trees - Data structures in C/Java

  • 1. Binary Trees Data Structures and Design in Java © Rick Mercer
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