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The Computational Complexity Of The Circuit Value And Network Stability Problems
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Book Synopsis The Computational Complexity of the Circuit Value and Network Stability Problems by : Ashok Subramanian
Download or read book The Computational Complexity of the Circuit Value and Network Stability Problems written by Ashok Subramanian and published by . This book was released on 1990 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This dissertation investigates the computational complexity of the Circuit Value problem and a new problem, Network Stability, when fanout is limited. In the Circuit Value problem, the task is to determine the output of an acyclic circuit of boolean gates. The Network Stability problem asks whether it is possible to assign values to the edges of a (possibly cyclic) network of boolean gates in a manner consistent with a given input assignment. Fanout is limited in a nontrivial way by allowing gates to have many outputs and then placing conditions on the different outputs produced by any single gate of the circuit or network.
Book Synopsis The Complexity of Circuit Value and Network Stability by : Ernest W. Mayr
Download or read book The Complexity of Circuit Value and Network Stability written by Ernest W. Mayr and published by . This book was released on 1989 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: When fanout is appropriately limited, we get positive results: a parallel algorithm for Circuit Value that runs in time about the square root of the number of gates, a linear-time sequential algorithm for Network Stability, and logspace reductions between Circuit Value and Network Stability.
Book Synopsis Quo Vadis, Graph Theory? by : J. Gimbel
Download or read book Quo Vadis, Graph Theory? written by J. Gimbel and published by Elsevier. This book was released on 1993-03-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory (as a recognized discipline) is a relative newcomer to Mathematics. The first formal paper is found in the work of Leonhard Euler in 1736. In recent years the subject has grown so rapidly that in today's literature, graph theory papers abound with new mathematical developments and significant applications.As with any academic field, it is good to step back occasionally and ask Where is all this activity taking us?, What are the outstanding fundamental problems?, What are the next important steps to take?. In short, Quo Vadis, Graph Theory?. The contributors to this volume have together provided a comprehensive reference source for future directions and open questions in the field.
Book Synopsis Theory of Computational Complexity by : Ding-Zhu Du
Download or read book Theory of Computational Complexity written by Ding-Zhu Du and published by John Wiley & Sons. This book was released on 2014-06-30 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition "... complete, up-to-date coverage of computational complexity theory...the book promises to become the standard reference on computational complexity." —Zentralblatt MATH A thorough revision based on advances in the field of computational complexity and readers’ feedback, the Second Edition of Theory of Computational Complexity presents updates to the principles and applications essential to understanding modern computational complexity theory. The new edition continues to serve as a comprehensive resource on the use of software and computational approaches for solving algorithmic problems and the related difficulties that can be encountered. Maintaining extensive and detailed coverage, Theory of Computational Complexity, Second Edition, examines the theory and methods behind complexity theory, such as computational models, decision tree complexity, circuit complexity, and probabilistic complexity. The Second Edition also features recent developments on areas such as NP-completeness theory, as well as: A new combinatorial proof of the PCP theorem based on the notion of expander graphs, a research area in the field of computer science Additional exercises at varying levels of difficulty to further test comprehension of the presented material End-of-chapter literature reviews that summarize each topic and offer additional sources for further study Theory of Computational Complexity, Second Edition, is an excellent textbook for courses on computational theory and complexity at the graduate level. The book is also a useful reference for practitioners in the fields of computer science, engineering, and mathematics who utilize state-of-the-art software and computational methods to conduct research.
Book Synopsis Limits to Parallel Computation by : Raymond Greenlaw
Download or read book Limits to Parallel Computation written by Raymond Greenlaw and published by Oxford University Press. This book was released on 1995-04-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive analysis of the most important topics in parallel computation. It is written so that it may be used as a self-study guide to the field, and researchers in parallel computing will find it a useful reference for many years to come. The first half of the book consists of an introduction to many fundamental issues in parallel computing. The second half provides lists of P-complete- and open problems. These lists will have lasting value to researchers in both industry and academia. The lists of problems, with their corresponding remarks, the thorough index, and the hundreds of references add to the exceptional value of this resource. While the exciting field of parallel computation continues to expand rapidly, this book serves as a guide to research done through 1994 and also describes the fundamental concepts that new workers will need to know in coming years. It is intended for anyone interested in parallel computing, including senior level undergraduate students, graduate students, faculty, and people in industry. As an essential reference, the book will be needed in all academic libraries.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2008 with total page 994 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings written by and published by . This book was released on 1989 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algorithms and Complexity by : Bozzano G Luisa
Download or read book Algorithms and Complexity written by Bozzano G Luisa and published by Elsevier. This book was released on 1990-09-12 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1996 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Connections Between and Techniques For Circuit Meta-Complexity Problems and Lower Bounds by : Kenneth Donald Hoover III
Download or read book Connections Between and Techniques For Circuit Meta-Complexity Problems and Lower Bounds written by Kenneth Donald Hoover III and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation presents some circuit complexity results and techniques. Circuit complexity is a branch of computational complexity dealing with classes of circuit families as opposed to classes of Turing Machines. Recent research has shown that there are rich connections between circuit complexity and other areas in theoretical computer science: Carmosino et al. construct learning algorithms from "natural" circuit lower bounds; Murray and Williams show that slightly better than brute-force SAT algorithms lead to circuit lower bounds against NP, and; Ilango, Ren, and Santhanam show that the existence of one-way functions is equivalent to hard distributions with certain properties existing for the Minimum Circuit Size Problem (MCSP). A common theme throughout these results is the concept of "meta-algorithms," algorithms which take functions as input and attempt to either construct objects computing the function in some way (e.g. construct a circuit that well-approximates the function), or finding some computationally relevant quantity (e.g. what is the minimum size of a circuit computing the function). This dissertation will focus on circuit complexity and MCSP for classes of low-depth circuits, particularly those of bounded fan-in. Here, we will present a lifting theorem from small-constant-depth bounded bottom fan-in circuits to larger-constant-depth bounded bottom fan-in circuits, leading to a reduction between MCSP for the corresponding classes. As part of this, we also present a new switching lemma, which may be of independent interest. We then demonstrate that MCSP for depth-2 bounded bottom fan-in circuits is NP-hard to compute, and is approximable within a factor of O(log N). After, we give a barrier result stating that "natural" reductions between MCSP for different fixed-depth circuit classes yields unexpectedly fast MCSP algorithms or new circuit lower bounds against these classes. Finally, we introduce a family of new models of communication complexity and give some upper and lower bounds in these models, with an eye to separating P from fan-in 2 O(log n)-depth circuits.
Book Synopsis Bibliographic Guide to Computer Science by :
Download or read book Bibliographic Guide to Computer Science written by and published by . This book was released on 1991 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Index to IEEE Publications by : Institute of Electrical and Electronics Engineers
Download or read book Index to IEEE Publications written by Institute of Electrical and Electronics Engineers and published by . This book was released on 1990 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues for 1973- cover the entire IEEE technical literature.
Download or read book Mathematical Reviews written by and published by . This book was released on 1995 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Complexity of Boolean Functions by : Ingo Wegener
Download or read book The Complexity of Boolean Functions written by Ingo Wegener and published by . This book was released on 1987 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Limits to Parallel Computation by : Raymond Greenlaw
Download or read book Limits to Parallel Computation written by Raymond Greenlaw and published by Oxford University Press, USA. This book was released on 1995 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive analysis of the most important topics in parallel computation. It is written so that it may be used as a self-study guide to the field, and researchers in parallel computing will find it a useful reference for many years to come. The first half of the book consists of an introduction to many fundamental issues in parallel computing. The second half provides lists of P-complete- and open problems. These lists will have lasting value to researchers in both industry and academia. The lists of problems, with their corresponding remarks, the thorough index, and the hundreds of references add to the exceptional value of this resource. While the exciting field of parallel computation continues to expand rapidly, this book serves as a guide to research done through 1994 and also describes the fundamental concepts that new workers will need to know in coming years. It is intended for anyone interested in parallel computing, including senior level undergraduate students, graduate students, faculty, and people in industry. As an essential reference, the book will be needed in all academic libraries.
Book Synopsis Mathematics and Computation by : Avi Wigderson
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Download or read book Conference Publication written by and published by . This book was released on 1985 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt:
