Introduction to the Design and Analysis of Algorithms / Edition 2

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Overview

Algorithms

Introduction to The Design & Analysis of Algorithms, 2nd Edition

Anany Levitin, Villanova University

Valued by students and trusted by instructors, Introduction to the Design and Analysis of Algorithms employs a comprehensive taxonomy of algorithm design techniques that is more powerful and intuitive than the traditional approach.

It provides a coherent and pedagogically sound framework for learning and teaching algorithms. An extensive, detailed solutions manual is available online for the benefit of students and instructors. Student learning is further supported by exercise hints and chapter summaries. Popular puzzles and games provide motivation for students, and rhetorical questioning serves as an effective learning device.

Ideal for a basic course in the design and analysis of algorithms, this Second Edition features 80 new puzzles and exercises, as well as:

• Separate sections on the analysis of nonrecursive and recursive algorithms

• Coverage of empirical analysis and algorithm visualization

• Revised section on approximation algorithms

• Brand-new chapter on iterative improvement algorithms covering the simplex method, network flows, maximum matching in bipartite graphs, and the stable marriage problem

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Product Details

  • ISBN-13: 9780321358288
  • Publisher: Addison Wesley
  • Publication date: 2/17/2006
  • Edition description: REV
  • Edition number: 2
  • Pages: 592
  • Product dimensions: 7.48 (w) x 9.11 (h) x 1.14 (d)

Table of Contents

Contents

Preface

1Introduction

1.1 What is an Algorithm?

1.2 Fundamentals of Algorithmic Problem Solving

1.3 Important Problem Types

1.4 Fundamental Data Structures

2 Fundamentals of the Analysis of Algorithm Efficiency

2.1 Analysis Framework

2.2 Asymptotic Notations and Basic Efficiency Classes

2.3 Mathematical Analysis of Nonrecursive Algorithms

2.4 Mathematical Analysis of Recursive Algorithms

2.5 Example: Fibonacci Numbers

2.6 Empirical Analysis of Algorithms

2.7 Algorithm Visualization

3 Brute Force

3.1 Selection Sort and Bubble Sort

3.2 Sequential Search and Brute-Force String Matching

3.3 Closest-Pair and Convex-Hull Problems by Brute Force

3.4 Exhaustive Search

4 Divide-and-Conquer

4.1 Mergesort

4.2 Quicksort

4.3 Binary Search

4.4 Binary Tree Traversals and Related Properties

4.5 Multiplication of Large Integers and Strassen’s Matrix Multiplication

4.6 Closest-Pair and Convex-Hull Problems by Divide-and-Conquer

5 Decrease-and-Conquer

5.1 Insertion Sort

5.2 Depth-First Search and Breadth-First Search

5.3 Topological Sorting

5.4 Algorithms for Generating Combinatorial Objects

5.5 Decrease-by-a-Constant-Factor Algorithms

5.6 Variable-Size-Decrease Algorithms

6 Transform-and-Conquer

6.1 Presorting

6.2 Gaussian Elimination

6.3 Balanced Search Trees

6.4 Heaps and Heapsort

6.5 Horner’s Rule and Binary Exponentiation

6.6 Problem Reduction

7 Space and Time Tradeoffs

7.1 Sorting by Counting

7.2 Input Enhancement in String Matching

7.3 Hashing

7.4 B-Trees

8 Dynamic Programming

8.1 Computing a Binomial Coefficient

8.2 Warshall’s and Floyd’s Algorithms

8.3 Optimal Binary Search Trees

8.4 The Knapsack Problem and Memory Functions

9 Greedy Technique

9.1 Prim’s Algorithm

9.2 Kruskal’s Algorithm

9.3 Dijkstra’s Algorithm

9.4 Huffman Trees

10 Iterative Improvement

10.1 The Simplex Method

10.2 The Maximum-Flow Problem

10.3 Maximum Matching in Bipartite Graphs

10.4 The Stable Marriage Problem

11 Limitations of Algorithm Power

11.1 Lower-Bound Arguments

11.2 Decision Trees

11.3 P, NP, and NP-complete Problems

11.4 Challenges of Numerical Algorithms 4

12 Coping with the Limitations of Algorithm Power

12.1 Backtracking

12.2 Branch-and-Bound

12.3 Approximation Algorithms for NP-hard Problems

12.4 Algorithms for Solving Nonlinear Equations

Epilogue

APPENDIX A

Useful Formulas for the Analysis of Algorithms

APPENDIX B

Short Tutorial on Recurrence Relations

Bibliography

Hints to Exercises

Index

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  • Anonymous

    Posted March 26, 2006

    Excellent

    Levitin is specially gifted to explain Algorithms. The way he presents the material is easier to read than other books. The book by Tardos is another very good book in terms of clarity, but this book covers more subjects. Cormen should take a class with Anany to get a clue about the right way to teach Algorithms.

    1 out of 1 people found this review helpful.

    Was this review helpful? Yes  No   Report this review
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