Parameterized Complexity
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Parameterized Complexity Theory
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Author : J. Flum
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-01
Parameterized Complexity Theory written by J. Flum and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-01 with Computers categories.
Parameterized complexity theory is a recent branch of computational complexity theory that provides a framework for a refined analysis of hard algorithmic problems. The central notion of the theory, fixed-parameter tractability, has led to the development of various new algorithmic techniques and a whole new theory of intractability. This book is a state-of-the-art introduction to both algorithmic techniques for fixed-parameter tractability and the structural theory of parameterized complexity classes, and it presents detailed proofs of recent advanced results that have not appeared in book form before. Several chapters are each devoted to intractability, algorithmic techniques for designing fixed-parameter tractable algorithms, and bounded fixed-parameter tractability and subexponential time complexity. The treatment is comprehensive, and the reader is supported with exercises, notes, a detailed index, and some background on complexity theory and logic. The book will be of interest to computer scientists, mathematicians and graduate students engaged with algorithms and problem complexity.
Parameterized Complexity
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Author : Rodney G. Downey
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Parameterized Complexity written by Rodney G. Downey and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
The idea for this book was conceived over the second bottle of Villa Maria's Caber net Medot '89, at the dinner of the Australasian Combinatorics Conference held at Palmerston North, New Zealand in December 1990, where the authors first met and discovered they had a number of interests in common. Initially, we embarked on a small project to try to formulate reductions to address the apparent parame terized intractability of DOMINATING SET, and to introduce a structure in which to frame our answers. Having spent several months trying to get the definitions for the reductions right (they now seem so obvious), we turned to our tattered copies of Garey and Johnson's work [239]. We were stunned to find that virtually none of the classical reductions worked in the parameterized setting. We then wondered if we'd be able to find any interesting reductions. Several years, many more bottles, so many papers, and reductions later it [3] seemed that we had unwittingly stumbled upon what we believe is a truly central and new area of complexity theory. It seemed to us that the material would be of great interest to people working in areas where exact algorithms for a small range of parameters are natural and useful (e. g. , Molecular Biology, VLSI design). The tractability theory was rich with distinctive and powerful techniques. The intractability theory seemed to have a deep structure and techniques all of its own.
Parameterized Algorithms
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Author : Marek Cygan
language : en
Publisher: Springer
Release Date : 2016-10-29
Parameterized Algorithms written by Marek Cygan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-29 with Computers categories.
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.
Parameterized Complexity
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Author : Rodney G. Downey
language : en
Publisher: Springer
Release Date : 1999
Parameterized Complexity written by Rodney G. Downey and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
This monograph presents an approach to complexity theory which offers a means of analyzing algorithms in terms of their tractability. The authors consider the problem in terms of parameterized languages and taking "k-slices" of the language. In doing so, the reader is introduced to new classes of algorithms which may be analyzed more precisely than heretofore. The authors have made the book as self-contained as possible, and a lot of background material is included. As a result, computer scientists, mathematicians, and graduate students interested in the design and analysis of algorithms will find much of interest in this book.
Cognition And Intractability
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Author : Iris van Rooij
language : en
Publisher: Cambridge University Press
Release Date : 2019-04-25
Cognition And Intractability written by Iris van Rooij and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-25 with Computers categories.
Provides an accessible introduction to computational complexity analysis and its application to questions of intractability in cognitive science.
Fundamentals Of Parameterized Complexity
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Author : Rodney G. Downey
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-03
Fundamentals Of Parameterized Complexity written by Rodney G. Downey and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-03 with Computers categories.
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 And Exact Computation
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Author : Frank Dehne
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-09-06
Parameterized And Exact Computation written by Frank Dehne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-06 with Computers categories.
This book constitutes the refereed proceedings of the First International Workshop on Parameterized and Exact Computation, IWPEC 2004, held in Bergen, Norway, in September 2004. The 25 revised full papers presented together with an invited paper were carefully reviewed and selected from 47 submissions. The topics addressed focus on all current issues in this new approach to designing algorithms.
Parameterized And Exact Computation
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Author : Dimitrios M. Thilikos
language : en
Publisher: Springer
Release Date : 2012-08-30
Parameterized And Exact Computation written by Dimitrios M. Thilikos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-30 with Computers categories.
This book constitutes the refereed proceedings of the 7th International Symposium on Parameterized and Exact Computation, IPEC 2012, in Ljubljana, Slovenia, in September 2012. The 21 revised full papers presented together with 2 keynote talks were carefully reviewed and selected from 37 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 computation; and implementation issues of parameterized and exact algorithms.
Algorithms And Complexity
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Author : Dimitris Fotakis
language : en
Publisher: Springer
Release Date : 2017-04-12
Algorithms And Complexity written by Dimitris Fotakis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-12 with Computers categories.
This book constitutes the refereed conference proceedings of the 10th International Conference on Algorithms and Complexity, CIAC 2017, held in Athens, Greece, in May 2017. The 36 revised full papers were carefully reviewed and selected from 90 submissions and are presented together with 3 abstracts of invited talks and a paper to the 70th birthday of Stathis Zachos. The papers present original research in the theory and applications of algorithms and computational complexity.