Synopses & Reviews
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.
Review
From the reviews: "This book is intended for graduate courses of different levels, and course plans based on different chapter selections are proposed. Each chapter is accompanied by several pages of exercises and historical notes, setting the material and the references in context. The comprehensive bibliography covers a huge amount of literature in the heuristics and approximations area, as well as specific application problems. The index is detailed. This makes the book a good source for a course on approximation algorithms. ...For the more advanced reader the book seems to be an excellent in-depth resource on approximation algorithms, for their beginning up to the latest developments." --Gudula Runger, Computing Reviews "It contains a large amount of precisely selected topics covering various aspects and design techniques related to approximation algorithms. ... It has been intended as a textbook for a graduate course in theoretical computer science. ... it can also be used as a reference book for postgraduate students and researchers in the area of design and analysis of algorithms. It also serves as a reference for established researchers by providing efficient tools for various applied areas like applied mathematics, engineering, medicine, economics, and other sciences." (Vladimír Lacko, Zentralblatt MATH, Vol. 1237, 2012)
Synopsis
Unlike other books on theoretical computer science, this textbook organizes approximation algorithms into chapters based on the design techniques for the algorithms. This allows the reader to study approximation algorithms of the same nature together.
Synopsis
When precise algorithmic solutions are difficult to compute, the use of approximation algorithms can help. Design and Analysis of Approximation Algorithms is a textbook for a graduate course in theoretical computer science taught globally in universities. It can also be used as a reference work for researchers in the area of design and analysis algorithms. There are few texts available for this standard course, and those that do exist mainly follow a problem-oriented format. This text follows a structured, technique-oriented presentation. Approximation algorithms are organized into chapters based on the design techniques for the algorithms, enabling the reader to study algorithms of the same nature with ease, and providing an improved understanding of the design and analysis techniques for approximation algorithms. Instructors benefit from this approach allowing for an easy way to present the ideas and techniques of algorithms with a unified approach.
About the Author
Ding-Zhu Du is co-editor of the first and soon-to-be published, second editions, of the Handbook of Combinatorial Optimization. He was also co-author with P.M. Pardalos and W. Wu of the Kluwer publication "Mathematical Theory of Optimization". Du will co-author upcoming Springer publications (2012)
Table of Contents
Preface.- 1. Introduction.- 2. Greedy Strategy.- 3. Restriction.- 4. Partition.- 5. Guillotine Cut.- 6. Relaxation.- 7. Linear Programming.- 8. Primal-Dual Scheme and Local Ratio.- 9. Semidefinite Programming.- 10. Inapproximability.- Bibliography.- Index.