Springer Optimization and Its Applications

Design and Analysis of Approximation Algorithms

Authors: Du, Ding-Zhu, Ko, Ker-I, Hu, Xiaodong

  • The technique-oriented approach provides a unified view of the design techniques for approximation algorithms
  • Detailed algorithms, as well as complete proofs and analyses, are presented for each technique
  • Numerous examples help the reader to better understand the design and analysis techniques
  • Collects a great number of applications, many from recent research papers
  • Includes a large collection of approximation algorithms of geometric problems
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  • ISBN 978-1-4614-1701-9
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  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-1-4614-1700-2
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  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
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  • ISBN 978-1-4899-9844-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
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About this Textbook

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.

About the authors

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) entitled "Connected Dominating Set: Theory and Applications" and "Introduction to Combinatorial Optimization". Prof. Du is also the EiC of the Journal of Combinatorial Optimization (Springer).

Ker-I Ko is a well known expert in the field of theoretical computer science. He has authored a single publication with Birkhauser "Computational Complexity of Real Functions" in 1991, with very good reviews. Prof. Du and Ker-I Ko have written several texts together including "Problem Solving in Automata, Languages, and Complexity" John Wiley, 2001; "Theory of Computational Complexity", John Wiley, 2000; Both of these books have received good reviews.

Xiaodong Hu is an expert in combinatorial optimization. He is a member of the editorial boards of Journal of Combinatorial Optimization and Discrete Mathematics, Algorithms and Applications.

Reviews

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)

“This textbook organizes approximation algorithms into chapters based on the design techniques. … this book is particularly suited for students who, possibly starting from scratch, want to first encounter, then absorb, and finally master the main techniques which have emerged as general paradigms in the design of approximation algorithms. This includes self-study by novices … but also teaching by experts in standard courses.” (Romeo Rizzi, Mathematical Reviews, January, 2013)


Table of contents (2 chapters)

  • Guillotine Cut

    Ding-Zhu Du, Ker-I Ko, Xiaodong Hu

    Pages 165-209

  • Linear Programming

    Ding-Zhu Du, Ker-I Ko, Xiaodong Hu

    Pages 245-296

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-1-4614-1701-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-1-4614-1700-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA
  • ISBN 978-1-4899-9844-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Design and Analysis of Approximation Algorithms
Authors
Series Title
Springer Optimization and Its Applications
Series Volume
62
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-1701-9
DOI
10.1007/978-1-4614-1701-9
Hardcover ISBN
978-1-4614-1700-2
Softcover ISBN
978-1-4899-9844-6
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XII, 440
Topics