Data Structures & Programming Binary Trees

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Data Structures & Programming Binary Trees

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Data Structures Programming Binary Trees Definitions Linked Structures Golnar Sheikhshab Binary Tree Definitions Root Left child, Right child Left subtree, Right subtree Proper, improper Full Complete Recursive Binary Tree Definition: a

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Data Structures & Programming Binary Trees
Definitions & Linked Structures

Golnar Sheikhshab

Binary Tree Definitions Root
Left child, Right child
Left subtree, Right subtree
Proper, improper
Full
Complete
Recursive Binary Tree Definition:
a binary tree is either empty or consists of:
A node r, called the root of T and storing an element
A binary tree, called the left subtree of T
A binary tree, called the right subtree of T ‹#›

Binary Tree Examples ‹#›

Binary Tree Informal Interface ‹#›

Properties of Binary Trees ‹#›

Properties of Binary Trees (2) ‹#›

‹#›

A Linked Structure for Binary Trees ‹#›

Some C++ Code from the Textbook! (Do I sound impressed?) ‹#›

‹#›

Complexity Analysis ‹#›

ADT Tree is not nearly as standard as stack & queue People define insert and remove according to their problem
Do I need to insert to
any position?
only root?
only leaves?
What do I do if it's a binary tree and the node already has both left and right?
Do I need to remove from
any position?
only root?
only leaves?
What do I do with the children of a node that I am removing? ‹#›

Constructing a tree How do I decide
what I'm putting in a tree?
with what structure?
From file?
With some logic? Did the code from your book enables me to do what I need to do? Did your book implement tree as a data structure? Can you change the code of gTree.h from lab4 to make a binary tree? Would that code enable you to fill a tree from a file? If yes, what are the assumptions? What if you want to fill a tree based on some logic (like in the assignment 3)? ‹#›

Reading material Sections 7.3.1, 7.3.2, 7.3.3, and 7.3.4 of the textbook ‹#›

Data Structures & Programming Binary Trees

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