Trees - Data structures in C/Java

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]

Trees - Data structures in C/Java

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Trees - Data structures in C/Java