Exponential Time Algorithms
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Exponential Time Algorithms
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Author : Serge Gaspers
language : en
Publisher: Serge Gaspers
Release Date : 2010-02
Exponential Time Algorithms written by Serge Gaspers and has been published by Serge Gaspers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02 with categories.
This book studies exponential time algorithms for NP-hard problems. In this modern area, the aim is to design algorithms for combinatorially hard problems that execute provably faster than a brute-force enumeration of all candidate solutions. After an introduction and survey of the field, the text focuses first on the design and especially the analysis of branching algorithms. The analysis of these algorithms heavily relies on measures of the instances, which aim at capturing the structure of the instances, not merely their size. This makes them more appropriate to quantify the progress an algorithm makes in the process of solving a problem. Expanding the methodology to design exponential time algorithms, new techniques are then presented. Two of them combine treewidth based algorithms with branching or enumeration algorithms. Another one is the iterative compression technique, prominent in the design of parameterized algorithms, and adapted here to the design of exponential time algorithms. This book assumes basic knowledge of algorithms and should serve anyone interested in exactly solving hard problems.
Exact Exponential Algorithms
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Author : Fedor V. Fomin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-26
Exact Exponential Algorithms written by Fedor V. Fomin 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 2010-10-26 with Mathematics categories.
For a long time computer scientists have distinguished between fast and slow algo rithms. Fast (or good) algorithms are the algorithms that run in polynomial time, which means that the number of steps required for the algorithm to solve a problem is bounded by some polynomial in the length of the input. All other algorithms are slow (or bad). The running time of slow algorithms is usually exponential. This book is about bad algorithms. There are several reasons why we are interested in exponential time algorithms. Most of us believe that there are many natural problems which cannot be solved by polynomial time algorithms. The most famous and oldest family of hard problems is the family of NP complete problems. Most likely there are no polynomial time al gorithms solving these hard problems and in the worst case scenario the exponential running time is unavoidable. Every combinatorial problem is solvable in ?nite time by enumerating all possi ble solutions, i. e. by brute force search. But is brute force search always unavoid able? De?nitely not. Already in the nineteen sixties and seventies it was known that some NP complete problems can be solved signi?cantly faster than by brute force search. Three classic examples are the following algorithms for the TRAVELLING SALESMAN problem, MAXIMUM INDEPENDENT SET, and COLORING.
Theoretical Aspects Of Local Search
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Author : Wil Michiels
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-17
Theoretical Aspects Of Local Search written by Wil Michiels 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 2007-01-17 with Mathematics categories.
Local search has been applied successfully to a diverse collection of optimization problems. It's appreciated for its basic conceptual foundation, its general applicability, and its power to serve as a source for new search paradigms. The typical characteristics of combinatorial optimization problems to which local search can be applied, its relation to complexity theory, and the combination with randomized search features have led to a wealth of interesting theoretical results. However, these results are scattered throughout the literature. This is the first book that presents a large collection of theoretical results in a consistent manner, thus providing the reader with a coherent overview of the achievements obtained so far, but also serving as a source of inspiration for the development of novel results in the challenging field of local search.
Algorithm Theory Swat 2006
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Author : Lars Arge
language : en
Publisher: Springer
Release Date : 2006-06-27
Algorithm Theory Swat 2006 written by Lars Arge and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-27 with Computers categories.
This book constitutes the refereed proceedings of the 10th Scandinavian Workshop on Algorithm Theory, SWAT 2006, held in Riga, Latvia, in July 2006. The proceedings includes 36 revised full papers presented together with 3 invited papers, addressing issues of theoretical algorithmics and applications in various fields including graph algorithms, computational geometry, scheduling, approximation algorithms, network algorithms, data storage and manipulation, combinatorics, sorting, searching, online algorithms, optimization, amd more.
Guide To Elliptic Curve Cryptography
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Author : Darrel Hankerson
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-01
Guide To Elliptic Curve Cryptography written by Darrel Hankerson 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 2006-06-01 with Computers categories.
After two decades of research and development, elliptic curve cryptography now has widespread exposure and acceptance. Industry, banking, and government standards are in place to facilitate extensive deployment of this efficient public-key mechanism. Anchored by a comprehensive treatment of the practical aspects of elliptic curve cryptography (ECC), this guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment. In addition, the book addresses some issues that arise in software and hardware implementation, as well as side-channel attacks and countermeasures. Readers receive the theoretical fundamentals as an underpinning for a wealth of practical and accessible knowledge about efficient application. Features & Benefits: * Breadth of coverage and unified, integrated approach to elliptic curve cryptosystems * Describes important industry and government protocols, such as the FIPS 186-2 standard from the U.S. National Institute for Standards and Technology * Provides full exposition on techniques for efficiently implementing finite-field and elliptic curve arithmetic * Distills complex mathematics and algorithms for easy understanding * Includes useful literature references, a list of algorithms, and appendices on sample parameters, ECC standards, and software tools This comprehensive, highly focused reference is a useful and indispensable resource for practitioners, professionals, or researchers in computer science, computer engineering, network design, and network data security.
Foundations Of Discrete Mathematics With Algorithms And Programming
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Author : R. Balakrishnan
language : en
Publisher: CRC Press
Release Date : 2018-10-26
Foundations Of Discrete Mathematics With Algorithms And Programming written by R. Balakrishnan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-26 with Mathematics categories.
Discrete Mathematics has permeated the whole of mathematics so much so it has now come to be taught even at the high school level. This book presents the basics of Discrete Mathematics and its applications to day-to-day problems in several areas. This book is intended for undergraduate students of Computer Science, Mathematics and Engineering. A number of examples have been given to enhance the understanding of concepts. The programming languages used are Pascal and C.
Exponential Time Algorithms And Complexity Of Np Hard Graph Problems
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Author : Nina Taslaman
language : en
Publisher:
Release Date : 2013
Exponential Time Algorithms And Complexity Of Np Hard Graph Problems written by Nina Taslaman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Computer Science
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Author : Robert Sedgewick
language : en
Publisher: Addison-Wesley Professional
Release Date : 2016-06-17
Computer Science written by Robert Sedgewick and has been published by Addison-Wesley Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-17 with Computers categories.
Named a Notable Book in the 21st Annual Best of Computing list by the ACM! Robert Sedgewick and Kevin Wayne’s Computer Science: An Interdisciplinary Approach is the ideal modern introduction to computer science with Java programming for both students and professionals. Taking a broad, applications-based approach, Sedgewick and Wayne teach through important examples from science, mathematics, engineering, finance, and commercial computing. The book demystifies computation, explains its intellectual underpinnings, and covers the essential elements of programming and computational problem solving in today’s environments. The authors begin by introducing basic programming elements such as variables, conditionals, loops, arrays, and I/O. Next, they turn to functions, introducing key modular programming concepts, including components and reuse. They present a modern introduction to object-oriented programming, covering current programming paradigms and approaches to data abstraction. Building on this foundation, Sedgewick and Wayne widen their focus to the broader discipline of computer science. They introduce classical sorting and searching algorithms, fundamental data structures and their application, and scientific techniques for assessing an implementation’s performance. Using abstract models, readers learn to answer basic questions about computation, gaining insight for practical application. Finally, the authors show how machine architecture links the theory of computing to real computers, and to the field’s history and evolution. For each concept, the authors present all the information readers need to build confidence, together with examples that solve intriguing problems. Each chapter contains question-and-answer sections, self-study drills, and challenging problems that demand creative solutions. Companion web site (introcs.cs.princeton.edu/java) contains Extensive supplementary information, including suggested approaches to programming assignments, checklists, and FAQs Graphics and sound libraries Links to program code and test data Solutions to selected exercises Chapter summaries Detailed instructions for installing a Java programming environment Detailed problem sets and projects Companion 20-part series of video lectures is available at informit.com/title/9780134493831
Exact Exponential Time Algorithms For Domination Problems In Graphs
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Author : J. M. M. van Rooij
language : en
Publisher:
Release Date : 2011
Exact Exponential Time Algorithms For Domination Problems In Graphs written by J. M. M. van Rooij and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Combinatorial Algorithms
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Author : Edward M. Reingold
language : en
Publisher: Prentice Hall
Release Date : 1977
Combinatorial Algorithms written by Edward M. Reingold and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.