Parameterized Complexity

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Parameterized Complexity

Author : Rodney G. Downey
Publisher : Springer Science & Business Media
ISBN 13 : 1461205158
Total Pages : 538 pages
Book Rating : 4.4/5 (612 download)

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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
ISBN 13 : 354029953X
Total Pages : 494 pages
Book Rating : 4.5/5 (42 download)

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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 Algorithms

Author : Marek Cygan
Publisher : Springer
ISBN 13 : 3319212753
Total Pages : 618 pages
Book Rating : 4.3/5 (192 download)

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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.

Fundamentals of Parameterized Complexity

Author : Rodney G. Downey
Publisher : Springer Science & Business Media
ISBN 13 : 1447155599
Total Pages : 765 pages
Book Rating : 4.4/5 (471 download)

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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.

Cognition and Intractability

Author : Iris van Rooij
Publisher : Cambridge University Press
ISBN 13 : 1107043999
Total Pages : 375 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Cognition and Intractability by : Iris van Rooij

Download or read book Cognition and Intractability written by Iris van Rooij and published by Cambridge University Press. This book was released on 2019-04-25 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an accessible introduction to computational complexity analysis and its application to questions of intractability in cognitive science.

Parameterized Complexity in the Polynomial Hierarchy

Author : Ronald de Haan
Publisher : Springer Nature
ISBN 13 : 3662606704
Total Pages : 393 pages
Book Rating : 4.6/5 (626 download)

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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 393 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.

Theory of Evolutionary Computation

Author : Benjamin Doerr
Publisher : Springer Nature
ISBN 13 : 3030294145
Total Pages : 527 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Theory of Evolutionary Computation by : Benjamin Doerr

Download or read book Theory of Evolutionary Computation written by Benjamin Doerr and published by Springer Nature. This book was released on 2019-11-20 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book reports on recent developments in the theory of evolutionary computation, or more generally the domain of randomized search heuristics. It starts with two chapters on mathematical methods that are often used in the analysis of randomized search heuristics, followed by three chapters on how to measure the complexity of a search heuristic: black-box complexity, a counterpart of classical complexity theory in black-box optimization; parameterized complexity, aimed at a more fine-grained view of the difficulty of problems; and the fixed-budget perspective, which answers the question of how good a solution will be after investing a certain computational budget. The book then describes theoretical results on three important questions in evolutionary computation: how to profit from changing the parameters during the run of an algorithm; how evolutionary algorithms cope with dynamically changing or stochastic environments; and how population diversity influences performance. Finally, the book looks at three algorithm classes that have only recently become the focus of theoretical work: estimation-of-distribution algorithms; artificial immune systems; and genetic programming. Throughout the book the contributing authors try to develop an understanding for how these methods work, and why they are so successful in many applications. The book will be useful for students and researchers in theoretical computer science and evolutionary computing.

Invitation to Fixed-Parameter Algorithms

Author : Rolf Niedermeier
Publisher : OUP Oxford
ISBN 13 : 9780198566076
Total Pages : 316 pages
Book Rating : 4.5/5 (66 download)

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Book Synopsis Invitation to Fixed-Parameter Algorithms by : Rolf Niedermeier

Download or read book Invitation to Fixed-Parameter Algorithms written by Rolf Niedermeier and published by OUP Oxford. This book was released on 2006-02-02 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: An application-oriented introduction to the highly topical area of the development and analysis of efficient fixed-parameter algorithms for hard problems. Aimed at graduate and research mathematicians, algorithm designers, and computer scientists, it provides a fresh view on this highly innovative field of algorithmic research.

Parameterized and Exact Computation

Author : Frank Dehne
Publisher : Springer
ISBN 13 : 354028639X
Total Pages : 300 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Parameterized and Exact Computation by : Frank Dehne

Download or read book Parameterized and Exact Computation written by Frank Dehne and published by Springer. This book was released on 2004-10-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thecentralchallengeoftheoreticalcomputerscienceistodeploymathematicsin waysthatservethecreationofusefulalgorithms. Inrecentyearstherehasbeena growinginterest in the two-dimensionalframework of parameterizedcomplexity, where, in addition to the overall input size, one also considers a parameter,with a focus on how these two dimensions interact in problem complexity. This book presents the proceedings of the 1st InternationalWorkshopon - rameterized and Exact Computation (IWPEC 2004,http://www. iwpec. org), which took place in Bergen, Norway, on September 14-16, 2004. The workshop was organized as part of ALGO 2004. There were seven previous workshops on the theory and applications of parameterized complexity. The ?rst was - ganized at the Institute for the Mathematical Sciences in Chennai, India, in September, 2000. The second was held at Dagstuhl Castle, Germany, in July, 2001. In December, 2002, a workshop on parameterized complexity was held in conjunction with the FST-TCS meeting in Kanpur, India. A second Dagstuhl workshop on parameterized complexity was held in July, 2003. Another wo- shoponthesubjectwasheldinOttawa,Canada,inAugust,2003,inconjunction with the WADS 2003 meeting. There have also been two Barbados workshops on applications of parameterized complexity. In response to the IWPEC 2004 call for papers, 47 papers were submitted, and from these the programcommittee selected 25 for presentation at the wo- shop. Inaddition,invitedlectureswereacceptedbythedistinguishedresearchers Michael Langston and Gerhard Woeginger.

Kernelization

Author : Fedor V. Fomin
Publisher : Cambridge University Press
ISBN 13 : 1107057760
Total Pages : 531 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Kernelization by : Fedor V. Fomin

Download or read book Kernelization written by Fedor V. Fomin and published by Cambridge University Press. This book was released on 2019-01-10 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete introduction to recent advances in preprocessing analysis, or kernelization, with extensive examples using a single data set.

Parameterized and Exact Computation

Author : Dimitrios M. Thilikos
Publisher : Springer
ISBN 13 : 3642332935
Total Pages : 283 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Parameterized and Exact Computation by : Dimitrios M. Thilikos

Download or read book Parameterized and Exact Computation written by Dimitrios M. Thilikos and published by Springer. This book was released on 2012-08-30 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Richly Parameterized Linear Models

Author : James S. Hodges
Publisher : CRC Press
ISBN 13 : 1439866848
Total Pages : 464 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Richly Parameterized Linear Models by : James S. Hodges

Download or read book Richly Parameterized Linear Models written by James S. Hodges and published by CRC Press. This book was released on 2016-04-19 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Step toward a Unified Theory of Richly Parameterized Linear ModelsUsing mixed linear models to analyze data often leads to results that are mysterious, inconvenient, or wrong. Further compounding the problem, statisticians lack a cohesive resource to acquire a systematic, theory-based understanding of models with random effects.Richly Param

Feasible Mathematics II

Author : Peter Clote
Publisher : Springer Science & Business Media
ISBN 13 : 1461225663
Total Pages : 456 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Feasible Mathematics II by : Peter Clote

Download or read book Feasible Mathematics II written by Peter Clote and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perspicuity is part of proof. If the process by means of which I get a result were not surveyable, I might indeed make a note that this number is what comes out - but what fact is this supposed to confirm for me? I don't know 'what is supposed to come out' . . . . 1 -L. Wittgenstein A feasible computation uses small resources on an abstract computa tion device, such as a 'lUring machine or boolean circuit. Feasible math ematics concerns the study of feasible computations, using combinatorics and logic, as well as the study of feasibly presented mathematical structures such as groups, algebras, and so on. This volume contains contributions to feasible mathematics in three areas: computational complexity theory, proof theory and algebra, with substantial overlap between different fields. In computational complexity theory, the polynomial time hierarchy is characterized without the introduction of runtime bounds by the closure of certain initial functions under safe composition, predicative recursion on notation, and unbounded minimization (S. Bellantoni); an alternative way of looking at NP problems is introduced which focuses on which pa rameters of the problem are the cause of its computational complexity and completeness, density and separation/collapse results are given for a struc ture theory for parametrized problems (R. Downey and M. Fellows); new characterizations of PTIME and LINEAR SPACE are given using predicative recurrence over all finite tiers of certain stratified free algebras (D.

Beyond the Worst-Case Analysis of Algorithms

Author : Tim Roughgarden
Publisher : Cambridge University Press
ISBN 13 : 1108494315
Total Pages : 705 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Beyond the Worst-Case Analysis of Algorithms by : Tim Roughgarden

Download or read book Beyond the Worst-Case Analysis of Algorithms written by Tim Roughgarden and published by Cambridge University Press. This book was released on 2021-01-14 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.

Dynamic Epistemic Logic

Author : Hans van Ditmarsch
Publisher : Springer Science & Business Media
ISBN 13 : 140205839X
Total Pages : 303 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Dynamic Epistemic Logic by : Hans van Ditmarsch

Download or read book Dynamic Epistemic Logic written by Hans van Ditmarsch and published by Springer Science & Business Media. This book was released on 2007-05-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Epistemic Logic is the logic of knowledge change. This book provides various logics to support such formal specifications, including proof systems. Concrete examples and epistemic puzzles enliven the exposition. The book also offers exercises with answers. It is suitable for graduate courses in logic. Many examples, exercises, and thorough completeness proofs and expressivity results are included. A companion web page offers slides for lecturers and exams for further practice.

Combinatorics and Complexity of Partition Functions

Author : Alexander Barvinok
Publisher : Springer
ISBN 13 : 3319518291
Total Pages : 304 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Combinatorics and Complexity of Partition Functions by : Alexander Barvinok

Download or read book Combinatorics and Complexity of Partition Functions written by Alexander Barvinok and published by Springer. This book was released on 2017-03-13 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partition functions arise in combinatorics and related problems of statistical physics as they encode in a succinct way the combinatorial structure of complicated systems. The main focus of the book is on efficient ways to compute (approximate) various partition functions, such as permanents, hafnians and their higher-dimensional versions, graph and hypergraph matching polynomials, the independence polynomial of a graph and partition functions enumerating 0-1 and integer points in polyhedra, which allows one to make algorithmic advances in otherwise intractable problems. The book unifies various, often quite recent, results scattered in the literature, concentrating on the three main approaches: scaling, interpolation and correlation decay. The prerequisites include moderate amounts of real and complex analysis and linear algebra, making the book accessible to advanced math and physics undergraduates.

Aspects of Complexity

Author : Rod G. Downey
Publisher : Walter de Gruyter
ISBN 13 : 9783110168105
Total Pages : 188 pages
Book Rating : 4.1/5 (681 download)

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Book Synopsis Aspects of Complexity by : Rod G. Downey

Download or read book Aspects of Complexity written by Rod G. Downey and published by Walter de Gruyter. This book was released on 2001 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level.