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Parameterized Complexity in the Polynomial Hierarchy

Author: Ronald de Haan

Publisher: Springer Nature

Published: 2019-12-30

Total Pages: 398

ISBN-13: 3662606704

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Parameterized Complexity in the Polynomial Hierarchy was co-recipient of the E.W. Beth Dissertation Prize 2017 for outstanding dissertations in the fields of logic, language, and information. This work extends the theory of parameterized complexity to higher levels of the Polynomial Hierarchy (PH). For problems at higher levels of the PH, a promising solving approach is to develop fixed-parameter tractable reductions to SAT, and to subsequently use a SAT solving algorithm to solve the problem. In this dissertation, a theoretical toolbox is developed that can be used to classify in which cases this is possible. The use of this toolbox is illustrated by applying it to analyze a wide range of problems from various areas of computer science and artificial intelligence.

Book Synopsis Parameterized Complexity in the Polynomial Hierarchy by : Ronald de Haan

Download or read book Parameterized Complexity in the Polynomial Hierarchy written by Ronald de Haan and published by Springer Nature. This book was released on 2019-12-30 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parameterized Complexity in the Polynomial Hierarchy was co-recipient of the E.W. Beth Dissertation Prize 2017 for outstanding dissertations in the fields of logic, language, and information. This work extends the theory of parameterized complexity to higher levels of the Polynomial Hierarchy (PH). For problems at higher levels of the PH, a promising solving approach is to develop fixed-parameter tractable reductions to SAT, and to subsequently use a SAT solving algorithm to solve the problem. In this dissertation, a theoretical toolbox is developed that can be used to classify in which cases this is possible. The use of this toolbox is illustrated by applying it to analyze a wide range of problems from various areas of computer science and artificial intelligence.

Parameterized Complexity

Author: Rodney G. Downey

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 538

ISBN-13: 1461205158

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An approach to complexity theory which offers a means of analysing algorithms in terms of their tractability. The authors consider the problem in terms of parameterized languages and taking "k-slices" of the language, thus introducing readers to new classes of algorithms which may be analysed more precisely than was the case until now. The book is as self-contained as possible and includes a great deal of background material. As a result, computer scientists, mathematicians, and graduate students interested in the design and analysis of algorithms will find much of interest.

Book Synopsis Parameterized Complexity by : Rodney G. Downey

Download or read book Parameterized Complexity written by Rodney G. Downey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approach to complexity theory which offers a means of analysing algorithms in terms of their tractability. The authors consider the problem in terms of parameterized languages and taking "k-slices" of the language, thus introducing readers to new classes of algorithms which may be analysed more precisely than was the case until now. The book is as self-contained as possible and includes a great deal of background material. As a result, computer scientists, mathematicians, and graduate students interested in the design and analysis of algorithms will find much of interest.

Parameterized Complexity Theory

Author: J. Flum

Publisher: Springer Science & Business Media

Published: 2006-05-01

Total Pages: 494

ISBN-13: 354029953X

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This book is a state-of-the-art introduction into both algorithmic techniques for fixed-parameter tractability and the structural theory of parameterized complexity classes. It presents detailed proofs of recent advanced results that have not appeared in book form before and replaces the earlier publication "Parameterized Complexity" by Downey and Fellows as the definitive book on this subject. The book will interest computer scientists, mathematicians and graduate students engaged with algorithms and problem complexity.

Book Synopsis Parameterized Complexity Theory by : J. Flum

Download or read book Parameterized Complexity Theory written by J. Flum and published by Springer Science & Business Media. This book was released on 2006-05-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a state-of-the-art introduction into both algorithmic techniques for fixed-parameter tractability and the structural theory of parameterized complexity classes. It presents detailed proofs of recent advanced results that have not appeared in book form before and replaces the earlier publication "Parameterized Complexity" by Downey and Fellows as the definitive book on this subject. The book will interest computer scientists, mathematicians and graduate students engaged with algorithms and problem complexity.

Parameterized and Exact Computation

Author: Marek Cygan

Publisher: Springer

Published: 2014-12-02

Total Pages: 352

ISBN-13: 3319135244

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This book constitutes the thoroughly refereed post-conference proceedings of the 9th International Symposium on Parameterized and Exact Computation, IPEC 2014, in Wroclaw, Poland, in September 2014. The 27 revised full papers presented together with one invited paper were carefully reviewed and selected from 42 submissions. The topics addressed cover research in all aspects of parameterized/exact algorithms and complexity including but are not limited to new techniques for the design and analysis of parameterized and exact algorithms, fixed-parameter tractability results; parameterized complexity theory, relationship between parameterized complexity and traditional complexity classifications; applications of parameterized and exact exponential-time computation; and implementation issues of parameterized and exact exponential-time algorithms.

Book Synopsis Parameterized and Exact Computation by : Marek Cygan

Download or read book Parameterized and Exact Computation written by Marek Cygan and published by Springer. This book was released on 2014-12-02 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 9th International Symposium on Parameterized and Exact Computation, IPEC 2014, in Wroclaw, Poland, in September 2014. The 27 revised full papers presented together with one invited paper were carefully reviewed and selected from 42 submissions. The topics addressed cover research in all aspects of parameterized/exact algorithms and complexity including but are not limited to new techniques for the design and analysis of parameterized and exact algorithms, fixed-parameter tractability results; parameterized complexity theory, relationship between parameterized complexity and traditional complexity classifications; applications of parameterized and exact exponential-time computation; and implementation issues of parameterized and exact exponential-time algorithms.

Algorithms and Complexity

Author: Paul G. Spirakis

Publisher: Springer

Published: 2013-05-15

Total Pages: 394

ISBN-13: 3642382339

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This book constitutes the refereed conference proceedings of the 8th International Conference on Algorithms and Complexity, CIAC 2013, held in Barcelona, Spain, during May 22-24, 2013. The 31 revised full papers presented were carefully reviewed and selected from 75 submissions. The papers present current research in all aspects of computational complexity and the use, design, analysis and experimentation of efficient algorithms and data structures.

Book Synopsis Algorithms and Complexity by : Paul G. Spirakis

Download or read book Algorithms and Complexity written by Paul G. Spirakis and published by Springer. This book was released on 2013-05-15 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 8th International Conference on Algorithms and Complexity, CIAC 2013, held in Barcelona, Spain, during May 22-24, 2013. The 31 revised full papers presented were carefully reviewed and selected from 75 submissions. The papers present current research in all aspects of computational complexity and the use, design, analysis and experimentation of efficient algorithms and data structures.

Fundamentals of Parameterized Complexity

Author: Rodney G. Downey

Publisher: Springer Science & Business Media

Published: 2013-12-03

Total Pages: 765

ISBN-13: 1447155599

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This comprehensive and self-contained textbook presents an accessible overview of the state of the art of multivariate algorithmics and complexity. Increasingly, multivariate algorithmics is having significant practical impact in many application domains, with even more developments on the horizon. The text describes how the multivariate framework allows an extended dialog with a problem, enabling the reader who masters the complexity issues under discussion to use the positive and negative toolkits in their own research. Features: describes many of the standard algorithmic techniques available for establishing parametric tractability; reviews the classical hardness classes; explores the various limitations and relaxations of the methods; showcases the powerful new lower bound techniques; examines various different algorithmic solutions to the same problems, highlighting the insights to be gained from each approach; demonstrates how complexity methods and ideas have evolved over the past 25 years.

Book Synopsis Fundamentals of Parameterized Complexity by : Rodney G. Downey

Download or read book Fundamentals of Parameterized Complexity written by Rodney G. Downey and published by Springer Science & Business Media. This book was released on 2013-12-03 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive and self-contained textbook presents an accessible overview of the state of the art of multivariate algorithmics and complexity. Increasingly, multivariate algorithmics is having significant practical impact in many application domains, with even more developments on the horizon. The text describes how the multivariate framework allows an extended dialog with a problem, enabling the reader who masters the complexity issues under discussion to use the positive and negative toolkits in their own research. Features: describes many of the standard algorithmic techniques available for establishing parametric tractability; reviews the classical hardness classes; explores the various limitations and relaxations of the methods; showcases the powerful new lower bound techniques; examines various different algorithmic solutions to the same problems, highlighting the insights to be gained from each approach; demonstrates how complexity methods and ideas have evolved over the past 25 years.

Parameterized Algorithms

Author: Marek Cygan

Publisher: Springer

Published: 2015-07-20

Total Pages: 618

ISBN-13: 3319212753

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This comprehensive textbook presents a clean and coherent account of most fundamental tools and techniques in Parameterized Algorithms and is a self-contained guide to the area. The book covers many of the recent developments of the field, including application of important separators, branching based on linear programming, Cut & Count to obtain faster algorithms on tree decompositions, algorithms based on representative families of matroids, and use of the Strong Exponential Time Hypothesis. A number of older results are revisited and explained in a modern and didactic way. The book provides a toolbox of algorithmic techniques. Part I is an overview of basic techniques, each chapter discussing a certain algorithmic paradigm. The material covered in this part can be used for an introductory course on fixed-parameter tractability. Part II discusses more advanced and specialized algorithmic ideas, bringing the reader to the cutting edge of current research. Part III presents complexity results and lower bounds, giving negative evidence by way of W[1]-hardness, the Exponential Time Hypothesis, and kernelization lower bounds. All the results and concepts are introduced at a level accessible to graduate students and advanced undergraduate students. Every chapter is accompanied by exercises, many with hints, while the bibliographic notes point to original publications and related work.

Book Synopsis Parameterized Algorithms by : Marek Cygan

Download or read book Parameterized Algorithms written by Marek Cygan and published by Springer. This book was released on 2015-07-20 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook presents a clean and coherent account of most fundamental tools and techniques in Parameterized Algorithms and is a self-contained guide to the area. The book covers many of the recent developments of the field, including application of important separators, branching based on linear programming, Cut & Count to obtain faster algorithms on tree decompositions, algorithms based on representative families of matroids, and use of the Strong Exponential Time Hypothesis. A number of older results are revisited and explained in a modern and didactic way. The book provides a toolbox of algorithmic techniques. Part I is an overview of basic techniques, each chapter discussing a certain algorithmic paradigm. The material covered in this part can be used for an introductory course on fixed-parameter tractability. Part II discusses more advanced and specialized algorithmic ideas, bringing the reader to the cutting edge of current research. Part III presents complexity results and lower bounds, giving negative evidence by way of W[1]-hardness, the Exponential Time Hypothesis, and kernelization lower bounds. All the results and concepts are introduced at a level accessible to graduate students and advanced undergraduate students. Every chapter is accompanied by exercises, many with hints, while the bibliographic notes point to original publications and related work.

Mathematical Programming and Game Theory

Author: S.K. Neogy

Publisher: Springer

Published: 2018-11-28

Total Pages: 226

ISBN-13: 981133059X

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This book discusses recent developments in mathematical programming and game theory, and the application of several mathematical models to problems in finance, games, economics and graph theory. All contributing authors are eminent researchers in their respective fields, from across the world. This book contains a collection of selected papers presented at the 2017 Symposium on Mathematical Programming and Game Theory at New Delhi during 9–11 January 2017. Researchers, professionals and graduate students will find the book an essential resource for current work in mathematical programming, game theory and their applications in finance, economics and graph theory. The symposium provides a forum for new developments and applications of mathematical programming and game theory as well as an excellent opportunity to disseminate the latest major achievements and to explore new directions and perspectives.

Book Synopsis Mathematical Programming and Game Theory by : S.K. Neogy

Download or read book Mathematical Programming and Game Theory written by S.K. Neogy and published by Springer. This book was released on 2018-11-28 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments in mathematical programming and game theory, and the application of several mathematical models to problems in finance, games, economics and graph theory. All contributing authors are eminent researchers in their respective fields, from across the world. This book contains a collection of selected papers presented at the 2017 Symposium on Mathematical Programming and Game Theory at New Delhi during 9–11 January 2017. Researchers, professionals and graduate students will find the book an essential resource for current work in mathematical programming, game theory and their applications in finance, economics and graph theory. The symposium provides a forum for new developments and applications of mathematical programming and game theory as well as an excellent opportunity to disseminate the latest major achievements and to explore new directions and perspectives.

SOFSEM 2015: Theory and Practice of Computer Science

Author: Giuseppe Italiano

Publisher: Springer

Published: 2015-01-14

Total Pages: 631

ISBN-13: 3662460785

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This book constitutes the proceedings of the 41st International Conference on Current Trends in Theory and Practice of Computer Science held in Pec pod Sněžkou, Czech Republic, during January 24-29, 2015. The book features 8 invited talks and 42 regular papers which were carefully reviewed and selected from 101 submissions. The papers are organized in topical sections named: foundations of computer science; software and Web engineering; data, information, and knowledge engineering; and cryptography, security, and verification.

Book Synopsis SOFSEM 2015: Theory and Practice of Computer Science by : Giuseppe Italiano

Download or read book SOFSEM 2015: Theory and Practice of Computer Science written by Giuseppe Italiano and published by Springer. This book was released on 2015-01-14 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 41st International Conference on Current Trends in Theory and Practice of Computer Science held in Pec pod Sněžkou, Czech Republic, during January 24-29, 2015. The book features 8 invited talks and 42 regular papers which were carefully reviewed and selected from 101 submissions. The papers are organized in topical sections named: foundations of computer science; software and Web engineering; data, information, and knowledge engineering; and cryptography, security, and verification.

Theory and Applications of Satisfiability Testing - SAT 2014

Author: Carsten Sinz

Publisher: Springer

Published: 2014-07-02

Total Pages: 468

ISBN-13: 3319092847

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This book constitutes the refereed proceedings of the 17th International Conference on Theory and Applications of Satisfiability Testing, SAT 2014, held as part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. The 21 regular papers, 7 short papers and 4 tool papers presented together with 2 invited talks were carefully reviewed and selected from 78 submissions. The papers have been organized in the following topical sections: maximum satisfiability; minimal unsatisfiability; complexity and reductions; proof complexity; parallel and incremental (Q)SAT; applications; structure; simplification and solving; and analysis.

Book Synopsis Theory and Applications of Satisfiability Testing - SAT 2014 by : Carsten Sinz

Download or read book Theory and Applications of Satisfiability Testing - SAT 2014 written by Carsten Sinz and published by Springer. This book was released on 2014-07-02 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 17th International Conference on Theory and Applications of Satisfiability Testing, SAT 2014, held as part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. The 21 regular papers, 7 short papers and 4 tool papers presented together with 2 invited talks were carefully reviewed and selected from 78 submissions. The papers have been organized in the following topical sections: maximum satisfiability; minimal unsatisfiability; complexity and reductions; proof complexity; parallel and incremental (Q)SAT; applications; structure; simplification and solving; and analysis.