Design and Analysis of Algorithms: A Contemporary Perspective

Design and Analysis of Algorithms: A Contemporary Perspective

Computers & Technology
ISBN: 1108721990 Format: PDF Edition: - Date: May 31, 2019 Pages: 350 pages Language: English

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Book Description

The text covers important algorithm design techniques, such as greedy algorithms, dynamic programming, and divide-and-conquer, and gives applications to contemporary problems. Techniques including Fast Fourier transform, KMP algorithm for string matching, CYK algorithm for context free parsing and gradient descent for convex function minimization are discussed in detail. The book's emphasis is on computational models and their effect on algorithm design. It gives insights into algorithm design techniques in parallel, streaming and memory hierarchy computational models. The book also emphasizes the role of randomization in algorithm design, and gives numerous applications ranging from data-structures such as skip-lists to dimensionality reduction methods.

Content

Chapter 1. Model and Analysis
Chapter 2. Basics of Probability and Tail Inequalities
Chapter 3. Warm-up Problems
Chapter 4. Optimization I: Brute Force and Greedy Strategy
Chapter 5. Optimization II: Dynamic Programming
Chapter 6. Searching
Chapter 7. Multidimensional Searching and Geometric Algorithms
Chapter 8. String Matching and Finger Printing
Chapter 9. Fast Fourier Transform and Applications
Chapter 10. Graph Algorithms
Chapter 11. Maximum Flow and Applications
Chapter 12. NP Completeness and Approximation Algorithms
Chapter 13. Dimensionality Reduction*
Chapter 14. Parallel Algorithms
Chapter 15. Memory Hierarchy and Caching
Chapter 16. Streaming Data Model

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Design and Analysis of Algorithms: A Contemporary Perspective
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