Data Structures & Algorithms in Python John Canning

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Data Structures & Algorithms in Python John Canning

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Data Structures & Algorithms in Python
Data Structures & Algorithms in
Python

John Canning
Alan Broder
Robert Lafore

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ISBN-13: 978-0-13-485568-4
ISBN-10: 0-13-485568-X
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To my mother, who gave me a thirst for knowledge, to my father, who
taught me the joys of engineering, and to June, who made it possible to
pursue both.

John Canning

For my father Sol Broder, a computer science pioneer, who inspired me to

follow in his footsteps.

To my mother Marilyn Broder, for showing me the satisfaction of teaching

others.

To Fran, for making my life complete.

Alan Broder
Contents
1. Overview

2. Arrays

3. Simple Sorting

4. Stacks and Queues

5. Linked Lists

6. Recursion

7. Advanced Sorting

8. Binary Trees

9. 2-3-4 Trees and External Storage

10. AVL and Red-Black Trees

11. Hash Tables

12. Spatial Data Structures

13. Heaps

14. Graphs

15. Weighted Graphs

16. What to Use and Why

Appendix A. Running the Visualizations

Appendix B. Further Reading

Appendix C. Answers to Questions

Table of Contents
1. Overview
What Are Data Structures and Algorithms?
Overview of Data Structures
Overview of Algorithms
Some Definitions
Programming in Python
Object-Oriented Programming
Summary
Questions
Experiments

2. Arrays
The Array Visualization Tool
Using Python Lists to Implement the Array Class
The Ordered Array Visualization Tool
Python Code for an Ordered Array Class
Logarithms
Storing Objects
Big O Notation
Why Not Use Arrays for Everything?
Summary
Questions
Experiments
Programming Projects

3. Simple Sorting
How Would You Do It?
Bubble Sort
Selection Sort
nsertion Sort
Comparing the Simple Sorts
Summary
Questions
Experiments
Programming Projects

4. Stacks and Queues

Different Structures for Different Use Cases
Stacks
Queues
Priority Queues
Parsing Arithmetic Expressions
Summary
Questions
Experiments
Programming Projects

5. Linked Lists
Links
The Linked List Visualization Tool
A Simple Linked List
Linked List Efficiency
Abstract Data Types and Objects
Ordered Lists
Doubly Linked Lists
Circular Lists
terators
Summary
Questions
Experiments
Programming Projects
6. Recursion
Triangular Numbers
Factorials
Anagrams
A Recursive Binary Search
The Tower of Hanoi
Sorting with mergesort
Eliminating Recursion
Some Interesting Recursive Applications
Summary
Questions
Experiments
Programming Projects

7. Advanced Sorting
Shellsort
Partitioning
Quicksort
Degenerates to O(N2) Performance
Radix Sort
Timsort
Summary
Questions
Experiments
Programming Projects

8. Binary Trees
Why Use Binary Trees?
Tree Terminology
An Analogy
How Do Binary Search Trees Work?
Finding a Node
nserting a Node
Traversing the Tree
Finding Minimum and Maximum Key Values
Deleting a Node
The Efficiency of Binary Search Trees
Trees Represented as Arrays
Printing Trees
Duplicate Keys
The BinarySearchTreeTester.py Program
The Huffman Code
Summary
Questions
Experiments
Programming Projects

9. 2-3-4 Trees and External Storage

ntroduction to 2-3-4 Trees
The Tree234 Visualization Tool
Python Code for a 2-3-4 Tree
Efficiency of 2-3-4 Trees
-3 Trees
External Storage
Summary
Questions
Experiments
Programming Projects

10. AVL and Red-Black Trees

Our Approach to the Discussion
Balanced and Unbalanced Trees
AVL Trees
The Efficiency of AVL Trees
Red-Black Trees
Using the Red-Black Tree Visualization Tool
Experimenting with the Visualization Tool
Rotations in Red-Black Trees
nserting a New Node
Deletion
The Efficiency of Red-Black Trees
-3-4 Trees and Red-Black Trees
Red-Black Tree Implementation
Summary
Questions
Experiments
Programming Projects

11. Hash Tables

ntroduction to Hashing
Open Addressing
Separate Chaining
Hash Functions
Hashing Efficiency
Hashing and External Storage
Summary
Questions
Experiments
Programming Projects

12. Spatial Data Structures

Spatial Data
Computing Distances Between Points
Circles and Bounding Boxes
Searching Spatial Data
Lists of Points
Grids
Quadtrees
Theoretical Performance and Optimizations
Practical Considerations
Further Extensions
Summary
Questions
Experiments
Programming Projects

13. Heaps
ntroduction to Heaps
The Heap Visualization Tool
Python Code for Heaps
A Tree-Based Heap
Heapsort
Order Statistics
Summary
Questions
Experiments
Programming Projects

14. Graphs
ntroduction to Graphs
Traversal and Search
Minimum Spanning Trees
Topological Sorting
Connectivity in Directed Graphs
Summary
Questions
Experiments
Programming Projects

15. Weighted Graphs

Minimum Spanning Tree with Weighted Graphs
The Shortest-Path Problem
The All-Pairs Shortest-Path Problem
Efficiency
ntractable Problems
Summary
Questions
Experiments
Programming Projects

16. What to Use and Why

Analyzing the Problem
Foundational Data Structures
Special-Ordering Data Structures
Sorting
Specialty Data Structures
External Storage
Onward

Appendix A. Running the Visualizations

For Developers: Running and Changing the Visualizations
For Managers: Downloading and Running the Visualizations
For Others: Viewing the Visualizations on the Internet
Using the Visualizations

Appendix B. Further Reading

Data Structures and Algorithms
Object-Oriented Programming Languages
Object-Oriented Design (OOD) and Software Engineering

Appendix C. Answers to Questions

Chapter 1, “Overview”
Chapter 2, “Arrays”
Chapter 3, “Simple Sorting”
Chapter 4, “Stacks and Queues”
Chapter 5, “Linked Lists”
Chapter 6, “Recursion”
Chapter 7, “Advanced Sorting”
Chapter 8, “Binary Trees”
Chapter 9, “2-3-4 Trees and External Storage”
Chapter 10, “AVL and Red-Black Trees”
Chapter 11, “Hash Tables”
Chapter 12, “Spatial Data Structures”
Chapter 13, “Heaps”
Chapter 14, “Graphs”
Chapter 15, “Weighted Graphs”
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