Algorithms and Complexity
Algorithms and Complexity

Author: Herbert S. Wilf

Publisher: A K PETERS

Published: 2020-09-30

Total Pages: 219

ISBN-13: 9780367659486

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This book is an introductory textbook on the design and analysis of algorithms. The author uses a careful selection of a few topics to illustrate the tools for algorithm analysis. Recursive algorithms are illustrated by Quicksort, FFT, fast matrix multiplications, and others. Algorithms associated with the network flow problem are fundamental in many areas of graph connectivity, matching theory, etc. Algorithms in number theory are discussed with some applications to public key encryption. This second edition will differ from the present edition mainly in that solutions to most of the exercises will be included.

Algorithms and Complexity
Algorithms and Complexity

Author: Tiziana Calamoneri

Publisher: Springer Nature

Published: 2021-05-04

Total Pages: 410

ISBN-13: 3030752429

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This book constitutes the refereed conference proceedings of the 12th International Conference on Algorithms and Complexity, CIAC 2019, held as a virtual event, in May 2021. The 28 full papers presented together with one invited lecture and 2 two abstracts of invited lectures were carefully reviewed and selected from 78 submissions. The International Conference on Algorithms and Complexity is intended to provide a forum for researchers working in all aspects of computational complexity and the use, design, analysis and experimentation of efficient algorithms and data structures. The papers present original research in the theory and applications of algorithms and computational complexity. Due to the Corona pandemic the conference was held virtually.

Computational Complexity
Computational Complexity

Author: Sanjeev Arora

Publisher: Cambridge University Press

Published: 2009-04-20

Total Pages: 609

ISBN-13: 0521424267

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New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Python Algorithms
Python Algorithms

Author: Magnus Lie Hetland

Publisher: Apress

Published: 2011-02-27

Total Pages: 325

ISBN-13: 1430232382

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Python Algorithms explains the Python approach to algorithm analysis and design. Written by Magnus Lie Hetland, author of Beginning Python, this book is sharply focused on classical algorithms, but it also gives a solid understanding of fundamental algorithmic problem-solving techniques. The book deals with some of the most important and challenging areas of programming and computer science, but in a highly pedagogic and readable manner. The book covers both algorithmic theory and programming practice, demonstrating how theory is reflected in real Python programs. Well-known algorithms and data structures that are built into the Python language are explained, and the user is shown how to implement and evaluate others himself.

Algorithms and Complexity
Algorithms and Complexity

Author: Bozzano G Luisa

Publisher: Elsevier

Published: 1990-09-12

Total Pages: 1014

ISBN-13: 9780444880710

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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.

Combinatorial Optimization
Combinatorial Optimization

Author: Christos H. Papadimitriou

Publisher: Courier Corporation

Published: 2013-04-26

Total Pages: 530

ISBN-13: 0486320138

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This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local search heuristics for NP-complete problems, more. 1982 edition.

Algorithms and Complexity in Mathematics, Epistemology, and Science
Algorithms and Complexity in Mathematics, Epistemology, and Science

Author: Nicolas Fillion

Publisher: Springer

Published: 2019-02-07

Total Pages: 300

ISBN-13: 1493990519

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ACMES (Algorithms and Complexity in Mathematics, Epistemology, and Science) is a multidisciplinary conference series that focuses on epistemological and mathematical issues relating to computation in modern science. This volume includes a selection of papers presented at the 2015 and 2016 conferences held at Western University that provide an interdisciplinary outlook on modern applied mathematics that draws from theory and practice, and situates it in proper context. These papers come from leading mathematicians, computational scientists, and philosophers of science, and cover a broad collection of mathematical and philosophical topics, including numerical analysis and its underlying philosophy, computer algebra, reliability and uncertainty quantification, computation and complexity theory, combinatorics, error analysis, perturbation theory, experimental mathematics, scientific epistemology, and foundations of mathematics. By bringing together contributions from researchers who approach the mathematical sciences from different perspectives, the volume will further readers' understanding of the multifaceted role of mathematics in modern science, informed by the state of the art in mathematics, scientific computing, and current modeling techniques.

Counting, Sampling and Integrating: Algorithms and Complexity
Counting, Sampling and Integrating: Algorithms and Complexity

Author: Mark Jerrum

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 120

ISBN-13: 3034880057

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The subject of these notes is counting and related topics, viewed from a computational perspective. A major theme of the book is the idea of accumulating information about a set of combinatorial structures by performing a random walk on those structures. These notes will be of value not only to teachers of postgraduate courses on these topics, but also to established researchers. For the first time this body of knowledge has been brought together in a single volume.

Complexity Theory
Complexity Theory

Author: Ingo Wegener

Publisher: Springer Science & Business Media

Published: 2005-04-11

Total Pages: 307

ISBN-13: 3540210458

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Reflects recent developments in its emphasis on randomized and approximation algorithms and communication models All topics are considered from an algorithmic point of view stressing the implications for algorithm design

A Guide to Algorithm Design
A Guide to Algorithm Design

Author: Anne Benoit

Publisher: CRC Press

Published: 2013-08-27

Total Pages: 380

ISBN-13: 1439898138

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Presenting a complementary perspective to standard books on algorithms, A Guide to Algorithm Design: Paradigms, Methods, and Complexity Analysis provides a roadmap for readers to determine the difficulty of an algorithmic problem by finding an optimal solution or proving complexity results. It gives a practical treatment of algorithmic complexity and guides readers in solving algorithmic problems. Divided into three parts, the book offers a comprehensive set of problems with solutions as well as in-depth case studies that demonstrate how to assess the complexity of a new problem. Part I helps readers understand the main design principles and design efficient algorithms. Part II covers polynomial reductions from NP-complete problems and approaches that go beyond NP-completeness. Part III supplies readers with tools and techniques to evaluate problem complexity, including how to determine which instances are polynomial and which are NP-hard. Drawing on the authors’ classroom-tested material, this text takes readers step by step through the concepts and methods for analyzing algorithmic complexity. Through many problems and detailed examples, readers can investigate polynomial-time algorithms and NP-completeness and beyond.