This book assembles some of the most important problems and solutions in theoretical computer science-from computability, logic, circuit theory, and complexity.

Author: Uwe Schöning

Publisher: Springer Science & Business Media

ISBN: 9783642603228

Category: Computers

Page: 320

View: 909

This book assembles some of the most important problems and solutions in theoretical computer science-from computability, logic, circuit theory, and complexity. The book presents these important results with complete proofs in an understandable form. It also presents previously open problems that have found (perhaps unexpected) solutions, and challenges the reader to pursue further active research in computer science.

This book assembles some of the most important problems and solutions in theoretical computer science-from computability, logic, circuit theory, and complexity.

This book is a concise, self-contained, up-to-date introduction to extremal combinatorics for nonspecialists.

Author: Stasys Jukna

Publisher: Springer Science & Business Media

ISBN: 9783642173646

Category: Computers

Page: 412

View: 377

This book is a concise, self-contained, up-to-date introduction to extremal combinatorics for nonspecialists. There is a strong emphasis on theorems with particularly elegant and informative proofs, they may be called gems of the theory. The author presents a wide spectrum of the most powerful combinatorial tools together with impressive applications in computer science: methods of extremal set theory, the linear algebra method, the probabilistic method, and fragments of Ramsey theory. No special knowledge in combinatorics or computer science is assumed – the text is self-contained and the proofs can be enjoyed by undergraduate students in mathematics and computer science. Over 300 exercises of varying difficulty, and hints to their solution, complete the text. This second edition has been extended with substantial new material, and has been revised and updated throughout. It offers three new chapters on expander graphs and eigenvalues, the polynomial method and error-correcting codes. Most of the remaining chapters also include new material, such as the Kruskal—Katona theorem on shadows, the Lovász—Stein theorem on coverings, large cliques in dense graphs without induced 4-cycles, a new lower bounds argument for monotone formulas, Dvir's solution of the finite field Kakeya conjecture, Moser's algorithmic version of the Lovász Local Lemma, Schöning's algorithm for 3-SAT, the Szemerédi—Trotter theorem on the number of point-line incidences, surprising applications of expander graphs in extremal number theory, and some other new results.

This volume is aimed at readers with some familiarity of combinatorial optimization, and appeals to researchers, graduate students, and advanced undergraduate students alike.

Author: Andreas S. Schulz

Publisher: Springer

ISBN: 9783319249711

Category: Business & Economics

Page: 150

View: 210

Are you looking for new lectures for your course on algorithms, combinatorial optimization, or algorithmic game theory? Maybe you need a convenient source of relevant, current topics for a graduate student or advanced undergraduate student seminar? Or perhaps you just want an enjoyable look at some beautiful mathematical and algorithmic results, ideas, proofs, concepts, and techniques in discrete mathematics and theoretical computer science? Gems of Combinatorial Optimization and Graph Algorithms is a handpicked collection of up-to-date articles, carefully prepared by a select group of international experts, who have contributed some of their most mathematically or algorithmically elegant ideas. Topics include longest tours and Steiner trees in geometric spaces, cartograms, resource buying games, congestion games, selfish routing, revenue equivalence and shortest paths, scheduling, linear structures in graphs, contraction hierarchies, budgeted matching problems, and motifs in networks. This volume is aimed at readers with some familiarity of combinatorial optimization, and appeals to researchers, graduate students, and advanced undergraduate students alike.

This is a concise, up-to-date introduction to extremal combinatorics for non-specialists.

Author: Stasys Jukna

Publisher: Springer Science & Business Media

ISBN: 3540663134

Category: Computers

Page: 378

View: 293

This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and informative proofs which may be called the gems of the theory. A wide spectrum of the most powerful combinatorial tools is presented, including methods of extremal set theory, the linear algebra method, the probabilistic method and fragments of Ramsey theory. A thorough discussion of recent applications to computer science illustrates the inherent usefulness of these methods.

R. Smolensky, “Algebraic methods in the theory of lower bounds for Boolean ... E. Viola, “Gems of theoretical computer science,” Lecture notes of the class ...

Author: Emanuele Viola

Publisher: Now Publishers Inc

ISBN: 9781601983008

Category: Computers

Page: 86

View: 615

In this work we discuss selected topics on small-depth computation, presenting a few unpublished proofs along the way. The four sections contain: (1) A unified treatment of the challenge of exhibiting explicit functions that have small correlation with low-degree polynomials over {0, 1}.(2) An unpublished proof that small bounded-depth circuits (AC0) have exponentially small correlation with the parity function. The proof is due to Klivans and Vadhan; it builds upon and simplifies previous ones. (3) Valiant's simulation of log-depth linear-size circuits of fan-in 2 by sub-exponential size circuits of depth 3 and unbounded fan-in. To our knowledge, a proof of this result has never appeared in full. (4) Applebaum, Ishai, and Kushilevitz's cryptography in bounded depth.

Gems of Theoretical Computer Science. Springer-Verlag, Berlin, 1998. ... In Proceedings 19th Symposium on Theory of Computing, p. 77–82. ACM Press, 1987.

Author: Heribert Vollmer

Publisher: Springer Science & Business Media

ISBN: 9783662039274

Category: Computers

Page: 272

View: 998

An advanced textbook giving a broad, modern view of the computational complexity theory of boolean circuits, with extensive references, for theoretical computer scientists and mathematicians.

In: Technical Monograph PRG-2, Oxford University, Oxford (1970) Schöning, U., Pruim, R.: Gems of Theoretical Computer Science.

Author: Barry S. Cooper

Publisher: Springer

ISBN: 9783540730019

Category: Computers

Page: 826

View: 875

This book constitutes the refereed proceedings of the Third International Conference on Computability in Europe, CiE 2007, held in Sienna, Italy, in June 2007. The 50 revised full papers presented together with 36 invited papers were carefully reviewed and selected from 167 submissions.

Indeed, although the Theorem resides most naturally within the theory of ... of the real gems of the foundational branch of theoretical computer science.

Author: Oded Goldreich

Publisher: Springer

ISBN: 9783540328810

Category: Computers

Page: 399

View: 637

This volume commemorates Shimon Even, one of founding fathers of Computer Science in Israel, who passed away on May 1, 2004. This Festschrift contains research contributions, surveys and educational essays in theoretical computer science, written by former students and close collaborators of Shimon. The essays address natural computational problems and are accessible to most researchers in theoretical computer science.

In: Proceedings of the 37th ACM Symposium on Theory of Computing. ... 410–414) Schoning, U., Pruim, R.: Gems of Theoretical Computer Science.

Author: Ming-Yang Kao

Publisher: Springer Science & Business Media

ISBN: 9780387307701

Category: Computers

Page: 1166

View: 721

One of Springer’s renowned Major Reference Works, this awesome achievement provides a comprehensive set of solutions to important algorithmic problems for students and researchers interested in quickly locating useful information. This first edition of the reference focuses on high-impact solutions from the most recent decade, while later editions will widen the scope of the work. All entries have been written by experts, while links to Internet sites that outline their research work are provided. The entries have all been peer-reviewed. This defining reference is published both in print and on line.

Computers and intractability: a guide to the theory of NP-completeness. Freeman, San Francisco, California, 1979. ... Gems of Theoretical Computer Science.

Author: Moshe Vardi

Publisher: Springer

ISBN: 9783540398134

Category: Computers

Page: 436

View: 992

This book constitutes the refereed proceedings of the 10th International Conference on Logic Programming, Artificial Intelligence, and Reasoning, LPAR 2003, held in Almaty, Kazakhstan in September 2003. The 27 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 65 submissions. The papers address all current issues in logic programming, automated reasoning, and AI logics in particular description logics, proof theory, logic calculi, formal verification, model theory, game theory, automata, proof search, constraint systems, model checking, and proof construction.

Theory of Computing Systems 40(4), 397–407 (2007) 6. Kondacs, A., Watrous, J.: On the ... Sch ̈oning, U., Pruim, R.: Gems of Theoretical Computer Science.

Author: Christian S. Calude

Publisher: Springer Science & Business Media

ISBN: 9783642135224

Category: Computers

Page: 195

View: 975

The LNCS series reports state-of-the-art results in computer science research, development, and education, at a high level and in both printed and electronic form. Enjoying tight cooperation with the R&D community, with numerous individuals, as well as with prestigious organizations and societies, LNCS has grown into the most comprehensive computer science research forum available. The scope of LNCS, including its subseries LNAI and LNBI, spans the whole range of computer science and information technology including interdisciplinary topics in a variety of application fields. In parallel to the printed book, each new volume is published electronically in LNCS Online.

Author: John Forbes Nash, Jr.Publish On: 2016-07-05

Conference on Computational Complexity, pages 155–160, 2014. W. J. Savitch. Relationships between nondeterministic ... Gems of Theoretical Computer Science.

Author: John Forbes Nash, Jr.

Publisher: Springer

ISBN: 9783319321622

Category: Mathematics

Page: 543

View: 346

The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer science, and more. Extensive discussions surrounding the progress made for each problem are designed to reach a wide community of readers, from graduate students and established research mathematicians to physicists, computer scientists, economists, and research scientists who are looking to develop essential and modern new methods and theories to solve a variety of open problems.

This volume is aimed at readers with some familiarity of combinatorial optimization, and appeals to researchers, graduate students, and advanced undergraduate students alike.

Author: Andreas S. Schulz

Publisher: Springer

ISBN: 3319249703

Category: Business & Economics

Page: 150

View: 186

Are you looking for new lectures for your course on algorithms, combinatorial optimization, or algorithmic game theory? Maybe you need a convenient source of relevant, current topics for a graduate student or advanced undergraduate student seminar? Or perhaps you just want an enjoyable look at some beautiful mathematical and algorithmic results, ideas, proofs, concepts, and techniques in discrete mathematics and theoretical computer science? Gems of Combinatorial Optimization and Graph Algorithms is a handpicked collection of up-to-date articles, carefully prepared by a select group of international experts, who have contributed some of their most mathematically or algorithmically elegant ideas. Topics include longest tours and Steiner trees in geometric spaces, cartograms, resource buying games, congestion games, selfish routing, revenue equivalence and shortest paths, scheduling, linear structures in graphs, contraction hierarchies, budgeted matching problems, and motifs in networks. This volume is aimed at readers with some familiarity of combinatorial optimization, and appeals to researchers, graduate students, and advanced undergraduate students alike.

This book constitutes the refereed proceedings of the 13th Conference on Computability in Europe, CiE 2017, held in Turku, Finland, in June 2017. The 24 revised full papers and 12 invited papers were carefully reviewed and selected from 69 submissions. The conference CiE 2016 has six special sessions, namly: algorithmics for biology; combinatorics and algorithmics on words; computability in analysis, algebra, and geometry; cryptography and information theory; formal languages and automata theory; and history and philosophy of computing.

Gems of theoretical computer science. New York: Springer-Verlag. ... Computer-assisted instruction: A synthesis of theory, practice, and technology.

Author: Delbert C. Miller

Publisher: SAGE Publications

ISBN: 9781506375274

Category: Social Science

Page: 808

View: 223

"If a student researcher had only one handbook on their bookshelf, Miller and Salkind's Handbook would certainly have to be it. With the updated material, the addition of the section on ethical issues (which is so well done that I'm recommending it to the departmental representative to the university IRB), and a new Part 4 on "Qualitative Methods", the new Handbook is an indispensable resource for researchers." Dan Cover, Department of Sociology, Furman University The book considered a "necessity" by many social science researchers and their students has been revised and updated while retaining the features that made it so useful. The emphasis in this new edition is on the tools with which graduate students and more advanced researchers need to become familiar as well as be able to use in order to conduct high quality research.

5th ACM Symposium on Principles of Programming Languages (POPL), pp. ... Press (2009) Schöning, U., Pruim, R.: Gems of Theoretical Computer Science.

Author: Thierry Lecroq

Publisher: Springer

ISBN: 9783642452789

Category: Computers

Page: 474

View: 578

This book constitutes the thoroughly refereed post-workshop proceedings of the 24th International Workshop on Combinatorial Algorithms, IWOCA 2013, held in Rouen, France, in July 2013. The 33 revised full papers presented together with 10 short papers and 5 invited talks were carefully reviewed and selected from a total of 91 submissions. The papers are organized in topical sections on algorithms on graphs; algorithms on strings; discrete geometry and satisfiability.

... or the book Gems of Theoretical Computer Science by Uwe Sch ̈oning (Springer, 1998). 8 A. Shamir, IP = PSPACE. Journal of the ACM, 39:4 (1992), 869–77.

Author: Scott Aaronson

Publisher: Cambridge University Press

ISBN: 9781107310520

Category: Science

Page:

View: 243

Written by noted quantum computing theorist Scott Aaronson, this book takes readers on a tour through some of the deepest ideas of maths, computer science and physics. Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

The Ingenious Ideas That Drive Today's Computers John MacCormick ... about one of the indisputable gems of theoretical computer science: digital signatures.

Author: John MacCormick

Publisher: Princeton University Press

ISBN: 9780691209050

Category: Computers

Page: 232

View: 340

Nine revolutionary algorithms that power our computers and smartphones Every day, we use our computers to perform remarkable feats. A simple web search picks out a handful of relevant needles from the world's biggest haystack. Uploading a photo to Facebook transmits millions of pieces of information over numerous error-prone network links, yet somehow a perfect copy of the photo arrives intact. Without even knowing it, we use public-key cryptography to transmit secret information like credit card numbers, and we use digital signatures to verify the identity of the websites we visit. How do our computers perform these tasks with such ease? John MacCormick answers this question in language anyone can understand, using vivid examples to explain the fundamental tricks behind nine computer algorithms that power our PCs, tablets, and smartphones.

... guarantees is a current research topic in theoretical computer science.1 Using four hash functions yields a good balance between all three metrics, ...

Author:

Publisher: Elsevier

ISBN: 9780123859648

Category: Computers

Page: 560

View: 706

GPU Computing Gems, Jade Edition, offers hands-on, proven techniques for general purpose GPU programming based on the successful application experiences of leading researchers and developers. One of few resources available that distills the best practices of the community of CUDA programmers, this second edition contains 100% new material of interest across industry, including finance, medicine, imaging, engineering, gaming, environmental science, and green computing. It covers new tools and frameworks for productive GPU computing application development and provides immediate benefit to researchers developing improved programming environments for GPUs. Divided into five sections, this book explains how GPU execution is achieved with algorithm implementation techniques and approaches to data structure layout. More specifically, it considers three general requirements: high level of parallelism, coherent memory access by threads within warps, and coherent control flow within warps. Chapters explore topics such as accelerating database searches; how to leverage the Fermi GPU architecture to further accelerate prefix operations; and GPU implementation of hash tables. There are also discussions on the state of GPU computing in interactive physics and artificial intelligence; programming tools and techniques for GPU computing; and the edge and node parallelism approach for computing graph centrality metrics. In addition, the book proposes an alternative approach that balances computation regardless of node degree variance. Software engineers, programmers, hardware engineers, and advanced students will find this book extremely useful. This second volume of GPU Computing Gems offers 100% new material of interest across industry, including finance, medicine, imaging, engineering, gaming, environmental science, green computing, and more Covers new tools and frameworks for productive GPU computing application development and offers immediate benefit to researchers developing improved programming environments for GPUs Even more hands-on, proven techniques demonstrating how general purpose GPU computing is changing scientific research Distills the best practices of the community of CUDA programmers; each chapter provides insights and ideas as well as 'hands on' skills applicable to a variety of fields