Design And Analysis Of Approximation Algorithms

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Design and Analysis of Approximation Algorithms

Author : Ding-Zhu Du,Ker-I Ko,Xiaodong Hu
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 51,8 Mb
Release : 2011-11-18
Category : Mathematics
ISBN : 9781461417019

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Design and Analysis of Approximation Algorithms by Ding-Zhu Du,Ker-I Ko,Xiaodong Hu Pdf

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.

The Design of Approximation Algorithms

Author : David P. Williamson,David B. Shmoys
Publisher : Cambridge University Press
Page : 518 pages
File Size : 49,9 Mb
Release : 2011-04-26
Category : Computers
ISBN : 0521195276

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The Design of Approximation Algorithms by David P. Williamson,David B. Shmoys Pdf

Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network design; to computer science problems in databases; to advertising issues in viral marketing. Yet most such problems are NP-hard. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first part of the book is devoted to a single algorithmic technique, which is then applied to several different problems. The second part revisits the techniques but offers more sophisticated treatments of them. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithms courses, the book will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.

The Design of Approximation Algorithms

Author : David P. Williamson,David B. Shmoys
Publisher : Cambridge University Press
Page : 517 pages
File Size : 41,9 Mb
Release : 2011-04-26
Category : Computers
ISBN : 9781139498173

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The Design of Approximation Algorithms by David P. Williamson,David B. Shmoys Pdf

Discrete optimization problems are everywhere, from traditional operations research planning (scheduling, facility location and network design); to computer science databases; to advertising issues in viral marketing. Yet most such problems are NP-hard; unless P = NP, there are no efficient algorithms to find optimal solutions. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first section is devoted to a single algorithmic technique applied to several different problems, with more sophisticated treatment in the second section. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithm courses, it will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.

Approximation Algorithms

Author : Vijay V. Vazirani
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 54,7 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783662045657

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Approximation Algorithms by Vijay V. Vazirani Pdf

Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field. He gives clear, lucid explanations of key results and ideas, with intuitive proofs, and provides critical examples and numerous illustrations to help elucidate the algorithms. Many of the results presented have been simplified and new insights provided. Of interest to theoretical computer scientists, operations researchers, and discrete mathematicians.

Approximation Algorithms for Combinatorial Optimization

Author : Klaus Jansen,Stefano Leonardi,Vijay Vazirani
Publisher : Springer
Page : 276 pages
File Size : 48,6 Mb
Release : 2003-06-30
Category : Computers
ISBN : 9783540457534

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Approximation Algorithms for Combinatorial Optimization by Klaus Jansen,Stefano Leonardi,Vijay Vazirani Pdf

This book constitutes the refereed proceedings of the 5th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2002, held in Rome, Italy in September 2002. The 20 revised full papers presented were carefully reviewed and selected from 54 submissions. Among the topics addressed are design and analysis of approximation algorithms, inapproximability results, online problems, randomization techniques, average-case analysis, approximation classes, scheduling problems, routing and flow problems, coloring and partitioning, cuts and connectivity, packing and covering, geometric problems, network design, and applications to game theory and other fields.

Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques

Author : Michel Goemans,Klaus Jansen,Jose D.P. Rolim,Luca Trevisan
Publisher : Springer
Page : 296 pages
File Size : 55,8 Mb
Release : 2003-05-15
Category : Mathematics
ISBN : 9783540446668

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Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques by Michel Goemans,Klaus Jansen,Jose D.P. Rolim,Luca Trevisan Pdf

This book constitutes the joint refereed proceedings of the 4th International Workshop on Approximation Algorithms for Optimization Problems, APPROX 2001 and of the 5th International Workshop on Ranomization and Approximation Techniques in Computer Science, RANDOM 2001, held in Berkeley, California, USA in August 2001. The 26 revised full papers presented were carefully reviewed and selected from a total of 54 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, on-line problems, randomization, de-randomization, average-case analysis, approximation classes, randomized complexity theory, scheduling, routing, coloring, partitioning, packing, covering, computational geometry, network design, and applications in various fields.

Approximation Algorithms for Combinatorial Optimization

Author : Klaus Jansen,Samir Khuller
Publisher : Springer
Page : 282 pages
File Size : 49,7 Mb
Release : 2003-07-31
Category : Computers
ISBN : 9783540444367

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Approximation Algorithms for Combinatorial Optimization by Klaus Jansen,Samir Khuller Pdf

This book constitutes the refereed proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2000, held in Saarbrcken, Germany in September 2000. The 22 revised full papers presented together with four invited contributions were carefully reviewed and selected from 68 submissions. The topics dealt with include design and analysis of approximation algorithms, inapproximibility results, on-line problems, randomization techniques, average-case analysis, approximation classes, scheduling problems, routing and flow problems, coloring and partitioning, cuts and connectivity, packing and covering, geometric problems, network design, and various applications.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

Author : Klaus Jansen
Publisher : Springer Science & Business Media
Page : 436 pages
File Size : 44,9 Mb
Release : 2004-08-11
Category : Computers
ISBN : 9783540228943

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Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques by Klaus Jansen Pdf

This book constitutes the joint refereed proceedings of the 7th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2004 and the 8th International Workshop on Randomization and Computation, RANDOM 2004, held in Cambridge, MA, USA in August 2004. The 37 revised full papers presented were carefully reviewed and selected from 87 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, approximation classes, online problems, graph algorithms, cuts, geometric computations, network design and routing, packing and covering, scheduling, game theory, design and analysis of randomised algorithms, randomized complexity theory, pseudorandomness, derandomization, probabilistic proof systems, error-correcting codes, and other applications of approximation and randomness.

Design and Analysis of Algorithms

Author : Sandeep Sen,Amit Kumar
Publisher : Cambridge University Press
Page : 395 pages
File Size : 40,9 Mb
Release : 2019-05-23
Category : Computers
ISBN : 9781108496827

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Design and Analysis of Algorithms by Sandeep Sen,Amit Kumar Pdf

Focuses on the interplay between algorithm design and the underlying computational models.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

Author : Moses Charikar
Publisher : Springer Science & Business Media
Page : 636 pages
File Size : 41,9 Mb
Release : 2007-08-07
Category : Computers
ISBN : 9783540742074

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Moses Charikar Pdf

This book constitutes the joint refereed proceedings of the 10th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2007 and the 11th International Workshop on Randomization and Computation, RANDOM 2007, held in Princeton, NJ, USA, in August 2007. The 44 revised full papers presented were carefully reviewed and selected from 99 submissions. Topics of interest covered by the papers are design and analysis of approximation algorithms, hardness of approximation, small space and data streaming algorithms, sub-linear time algorithms, embeddings and metric space methods, mathematical programming methods, coloring and partitioning, cuts and connectivity, geometric problems, game theory and applications, network design and routing, packing and covering, scheduling, design and analysis of randomized algorithms, randomized complexity theory, pseudorandomness and derandomization, random combinatorial structures, random walks/Markov chains, expander graphs and randomness extractors, probabilistic proof systems, random projections and embeddings, error-correcting codes, average-case analysis, property testing, computational learning theory, and other applications of approximation and randomness.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

Author : Josep Diaz
Publisher : Springer Science & Business Media
Page : 532 pages
File Size : 52,5 Mb
Release : 2006-08-11
Category : Computers
ISBN : 9783540380443

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Josep Diaz Pdf

This is the joint refereed proceedings of the 9th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2006 and the 10th International Workshop on Randomization and Computation, RANDOM 2006. The book presents 44 carefully reviewed and revised full papers. Among the topics covered are design and analysis of approximation algorithms, hardness of approximation problems, small spaces and data streaming algorithms, embeddings and metric space methods, and more.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

Author : Chandra Chekuri
Publisher : Springer Science & Business Media
Page : 504 pages
File Size : 43,5 Mb
Release : 2005-08-08
Category : Computers
ISBN : 9783540282396

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Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques by Chandra Chekuri Pdf

This book constitutes the joint refereed proceedings of the 8th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2005 and the 9th International Workshop on Randomization and Computation, RANDOM 2005, held in Berkeley, CA, USA in August 2005. The volume contains 41 carefully reviewed papers, selected by the two program committees from a total of 101 submissions. Among the issues addressed are design and analysis of approximation algorithms, hardness of approximation, small space and data streaming algorithms, sub-linear time algorithms, embeddings and metric space methods, mathematical programming methods, coloring and partitioning, cuts and connectivity, geometric problems, game theory and applications, network design and routing, packing and covering, scheduling, design and analysis of randomized algorithms, randomized complexity theory, pseudorandomness and derandomization, random combinatorial structures, random walks/Markov chains, expander graphs and randomness extractors, probabilistic proof systems, random projections and embeddings, error-correcting codes, average-case analysis, property testing, computational learning theory, and other applications of approximation and randomness.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

Author : Ashish Goel,Klaus Jansen,José Rolim,Ronitt Rubinfeld
Publisher : Springer
Page : 604 pages
File Size : 42,9 Mb
Release : 2008-08-28
Category : Computers
ISBN : 9783540853633

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Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques by Ashish Goel,Klaus Jansen,José Rolim,Ronitt Rubinfeld Pdf

This volume contains the papers presented at the 11th International Wo- shop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX 2008) and the 12th International Workshop on Randomization and Computation (RANDOM 2008), which took place concurrently at the MIT (M- sachusetts Institute of Technology) in Boston, USA, during August 25–27, 2008. APPROX focuses on algorithmic and complexity issues surrounding the development of e?cient approximate solutions to computationally di?cult problems, and was the 11th in the series after Aalborg (1998), Berkeley (1999), Saarbru ̈cken (2000), Berkeley (2001), Rome (2002), Princeton (2003), Cambridge (2004), Berkeley (2005), Barcelona (2006), and Princeton (2007). RANDOM is concerned with applications of randomness to computational and combinatorial problems, and was the 12th workshop in the series following Bologna (1997), Barcelona (1998), Berkeley (1999), Geneva (2000), Berkeley (2001), Harvard (2002), Princeton (2003), Cambridge (2004), Berkeley (2005), Barcelona (2006), and Princeton (2007). Topics of interest for APPROX and RANDOM are: design and analysis of - proximation algorithms, hardness of approximation, small space, sub-linear time, streaming, algorithms, embeddings and metric space methods, mathematical programming methods, combinatorial problems in graphs and networks, game t- ory, markets, economic applications, geometric problems, packing, covering, scheduling, approximate learning, design and analysis of randomized algorithms, randomized complexity theory, pseudorandomness and derandomization, random combinatorial structures, random walks/Markov chains, expander graphs and randomness extractors, probabilistic proof systems, random projections and - beddings, error-correcting codes, average-case analysis, property testing, com- tational learning theory, and other applications of approximation and randomness.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

Author : Sanjeev Arora
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 53,7 Mb
Release : 2003-08-13
Category : Computers
ISBN : 9783540407706

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Sanjeev Arora Pdf

This book constitutes the joint refereed proceedings of the 6th International Workshop on Approximation Algorithms for Optimization Problems, APPROX 2003 and of the 7th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2003, held in Princeton, NY, USA in August 2003. The 33 revised full papers presented were carefully reviewed and selected from 74 submissions. Among the issues addressed are design and analysis of randomized and approximation algorithms, online algorithms, complexity theory, combinatorial structures, error-correcting codes, pseudorandomness, derandomization, network algorithms, random walks, Markov chains, probabilistic proof systems, computational learning, randomness in cryptography, and various applications.

Approximation and Online Algorithms

Author : Christos Kaklamanis,Martin Skutella
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 42,8 Mb
Release : 2008-02-11
Category : Computers
ISBN : 9783540779179

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Approximation and Online Algorithms by Christos Kaklamanis,Martin Skutella Pdf

This book constitutes the thoroughly refereed post workshop proceedings of the 5th International Workshop on Approximation and Online Algorithms, WAOA 2007, held in Eilat, Israel, in October 2007 as part of the ALGO 2007 conference event. The 22 revised full papers presented were carefully reviewed and selected from 56 submissions. The workshop covered areas such as algorithmic game theory, approximation classes, coloring and partitioning, competitive analysis, computational finance, cuts and connectivity, geometric problems, inapproximability results, mechanism design, network design, packing and covering, paradigms for design and analysis of approximation and online algorithms, randomization techniques, real-world applications, and scheduling problems.