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Design and Analysis of Approximation Algorithms 1st edition by Ding Zhu Du, Ker Ko, Xiaodong Hu ISBN 1489998446 9781489998446

Name: Design and Analysis of Approximation Algorithms 1st edition by Ding Zhu Du, Ker Ko, Xiaodong Hu ISBN 1489998446 9781489998446
SKU: EB-25092
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Authors:Ding-Zhu Du â€¢ Ker-I Ko , Series:IT & Computer [525] , Author sort:Ko, Ding-Zhu Du â€¢ Ker-I , Languages:Languages:eng , Published:Published:Jan 2012 , Publisher:Springer

SKU: EB-25092 Category: eBook PDF Tags: Algorithms 1st, Analysis, Approximation, Design, Ding Zhu Du, Ker Ko, Xiaodong Hu

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ISBN 10: 1489998446
ISBN 13: 978-1489998446
Author: Ding-Zhu Du, Ker-I Ko, Xiaodong Hu

This book is intended to be used as a textbook for graduate students studying theoretical computer science. It can also be used as a reference book for researchers in the area of design and analysis of approximation algorithms. Design and Analysis of Approximation Algorithms is a graduate course in theoretical computer science taught widely in the universities, both in the United States and abroad. There are, however, very few textbooks available for this course. Among those available in the market, most books follow a problem-oriented format; that is, they collected many important combinatorial optimization problems and their approximation algorithms, and organized them based on the types, or applications, of problems, such as geometric-type problems, algebraic-type problems, etc. Such arrangement of materials is perhaps convenient for a researcher to look for the problems and algorithms related to his/her work, but is difficult for a student to capture the ideas underlying the various algorithms. In the new book proposed here, we follow a more structured, technique-oriented presentation. We organize approximation algorithms into different chapters, based on the design techniques for the algorithms, so that the reader can study approximation algorithms of the same nature together. It helps the reader to better understand the design and analysis techniques for approximation algorithms, and also helps the teacher to present the ideas and techniques of approximation algorithms in a more unified way.

Design and Analysis of Approximation Algorithms 1st Table of contents:

Introduction
- Overview of Approximation Algorithms
- Importance and Applications in Computer Science
Greedy Strategy
- Introduction to Greedy Algorithms
- Greedy Algorithms and Their Applications
- Analysis of Greedy Approaches
Restriction
- Restricting the Problem Domain
- Simplification and Problem Constraints
- Case Studies and Examples
Partition
- Partitioning Problems and Solutions
- Partitioning Strategies in Approximation Algorithms
- Algorithms for Efficient Partitioning
Guillotine Cut
- Concept of Guillotine Cuts in Optimization
- Applications and Algorithm Design Using Guillotine Cuts
- Performance Analysis
Relaxation
- Relaxing Constraints in Optimization Problems
- Linear Relaxation and its Impact on Algorithm Efficiency
- Examples of Relaxation in Approximation Algorithms
Linear Programming
- Introduction to Linear Programming
- LP Relaxation and Approximation Algorithms
- Applications of LP in Approximation Problems
Primal-Dual Scheme and Local Ratio
- Primal-Dual Algorithms
- Local Ratio Method for Approximation
- Applications and Complexity Analysis
Semidefinite Programming
- Introduction to Semidefinite Programming (SDP)
- Use of SDP in Approximation Algorithms
- Case Studies and Algorithmic Approaches
Inapproximability
- Inapproximability Results and Hardness of Approximation
- Techniques for Proving Inapproximability
- Limits of Approximation Algorithms

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