Data Structures and Algorithm Analysis in C++

Advanced Data Structures/Algorithms C++

Data Structures and Algorithm Analysis in C++, 3/e

Mark Allen Weiss, Florida International University

ISBN : 0-321-37531-9

Mark Allen Weiss teaches readers to reduce time constraints and develop programs efficiently by analyzing an algorithm’s feasibility before it is coded. His innovative approach to advanced algorithms and data structures simultaneously develops sound algorithm analysis and programming skills.

The Third Edition features a full C++ language update and incorporation of the Standard Template Library. There is new treatment of lists, stacks, queues, and trees, and an entire chapter dedicated to amortized analysis and advanced data structures such as the Fibonacci heap.

Highlights of the Third Edition

• All code has been updated and tested to ensure compliance with the ANSI/ISO C++ standards

• Standard Template Library fully incorporated throughout the text

• Completely revised coverage of lists, stacks, and queues in Chapter 3

• Readability enhanced by fresh interior design with new figures and examples

• End-of-chapter exercises, ranked by difficulty, reinforce key chapter concepts

 Visit aw.com/computing for more information about Addison-Wesley computing books.

Advanced Data Structures/Algorithms C++

Data Structures and Algorithm Analysis in C++, 3/e

Mark Allen Weiss, Florida International University

ISBN : 0-321-37531-9

Mark Allen Weiss teaches readers to reduce time constraints and develop programs efficiently by analyzing an algorithm’s feasibility before it is coded. His innovative approach to advanced algorithms and data structures simultaneously develops sound algorithm analysis and programming skills.

The Third Edition features a full C++ language update and incorporation of the Standard Template Library. There is new treatment of lists, stacks, queues, and trees, and an entire chapter dedicated to amortized analysis and advanced data structures such as the Fibonacci heap.

Highlights of the Third Edition

• All code has been updated and tested to ensure compliance with the ANSI/ISO C++ standards

• Standard Template Library fully incorporated throughout the text

• Completely revised coverage of lists, stacks, and queues in Chapter 3

• Readability enhanced by fresh interior design with new figures and examples

• End-of-chapter exercises, ranked by difficulty, reinforce key chapter concepts

 Visit aw.com/computing for more information about Addison-Wesley computing books.

Chapter 1 - Introduction

1.1 What’s the Book About?

1.2 Mathematics Review

1.3 A Brief Introduction to Recursion

1.4 C++ Classes

1.5 C++ Details

1.6 Templates

1.7 Using Matrices

Chapter 2 - Algorithm Analysis

2.1 Mathematical Background

2.2 Model

2.3 What to Analyze

2.4 Running Time Calculations

Chapter 3 - Lists, Stacks, and Queues

3.1 Abstract Data Types (ADTs)

3.2 The List ADT

3.3 vector and list in the STL

3.4 Implementation of vector

3.5 Implementation of list

3.6 The Stack ADT

3.7 The Queue ADT

Chapter 4 - Trees

4.1 Preliminaries

4.2 Binary Trees

4.3 The Search Tree ADT—Binary Search Trees

4.4 AVL Trees

4.5 Splay Trees

4.6 Tree Traversals (Revisited)

4.7 B-Trees

4.8 Sets and Maps in the Standard Library

Chapter 5 - Hashing

5.1 General Idea

5.2 Hash Function

5.3 Separate Chaining

5.4 Hash Tables Without Linked Lists

5.5 Rehashing

5.6 Hash Tables in the Standard Library

5.7 Extendible Hashing

Chapter 6 - Priority Queues (Heaps)

6.1 Model

6.2 Simple Implementations

6.3 Binary Heap

6.4 Applications of Priority Queues

6.5 d-Heaps

6.6 Leftist Heaps

6.7 Skew Heaps

6.8 Binomial Queues

6.9 Priority Queues in the Standard Library

Chapter 7 - Sorting

7.1 Preliminaries

7.2 Insertion Sort

7.3 A Lower Bound for Simple Sorting Algorithms

7.4 Shellsort

7.5 Heapsort

7.6 Mergesort

7.7 Quicksort

7.8 Indirect Sorting

7.9 A General Lower Bound for Sorting

7.10 Bucket Sort

7.11 External Sorting

Chapter 8 - The Disjoint Set Class

8.1 Equivalence Relations

8.2 The Dynamic Equivalence Problem

8.3 Basic Data Structure

8.4 Smart Union Algorithms

8.5 Path Compression

8.6 Worst Case for Union-by-Rank and Path Compression

8.7 An Application

Chapter 9 - Graph Algorithms

9.1 Definitions

9.2 Topological Sort

9.3 Shortest-Path Algorithms

9.4 Network Flow Problems

9.5 Minimum Spanning Tree

9.6 Applications of Depth-First Search

9.7 Introduction to NP-Completeness

Chapter 10 - Algorithm Design Techniques

10.1 Greedy Algorithms

10.2 Divide and Conquer

10.3 Dynamic Programming

10.4 Randomized Algorithms

10.5 Backtracking Algorithms

Chapter 11 - Amortized Analysis

11.1 An Unrelated Puzzle

11.2 Binomial Queues

11.3 Skew Heaps

11.4 Fibonacci Heaps

11.5 Splay Trees

Chapter 12 - Advanced Data Structures and Implementation

12.1 Top-Down Splay Trees

12.2 Red-Black Trees

12.3 Deterministic Skip Lists

12.4 AA-Trees

12.5 Treaps

12.6 k-d Trees

12.7 Pairing Heaps

  Appendix A - Separate Compilation Of Class Templates