Combinatorics Computing And Complexity

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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.

Combinatorics, Computing and Complexity

Author : Dingzhu Du
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Combinatorics, Computing and Complexity by : Dingzhu Du

Download or read book Combinatorics, Computing and Complexity written by Dingzhu Du and published by . This book was released on 1989 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorics for Computer Science

Author : Stanley Gill Williamson
Publisher : Courier Corporation
ISBN 13 : 9780486420769
Total Pages : 548 pages
Book Rating : 4.4/5 (27 download)

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Book Synopsis Combinatorics for Computer Science by : Stanley Gill Williamson

Download or read book Combinatorics for Computer Science written by Stanley Gill Williamson and published by Courier Corporation. This book was released on 2002-01-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful guide covers two major subdivisions of combinatorics — enumeration and graph theory — with emphasis on conceptual needs of computer science. Each part is divided into a "basic concepts" chapter emphasizing intuitive needs of the subject, followed by four "topics" chapters that explore these ideas in depth. Invaluable practical resource for graduate students, advanced undergraduates, and professionals with an interest in algorithm design and other aspects of computer science and combinatorics. References for Linear Order & for Graphs, Trees, and Recursions. 219 figures.

Analytic Combinatorics

Author : Philippe Flajolet
Publisher : Cambridge University Press
ISBN 13 : 1139477161
Total Pages : 825 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Analytic Combinatorics by : Philippe Flajolet

Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

Computing and Combinatorics

Author : Zhipeng Cai
Publisher : Springer
ISBN 13 : 3319087835
Total Pages : 704 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Computing and Combinatorics by : Zhipeng Cai

Download or read book Computing and Combinatorics written by Zhipeng Cai and published by Springer. This book was released on 2014-07-05 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Conference on Computing and Combinatorics, COCOON 2014, held in Atlanta, GA, USA, in August 2014. The 51 revised full papers presented were carefully reviewed and selected from 110 submissions. There was a co-organized workshop on computational social networks (CSoNet 2014) where 8 papers were accepted. The papers cover the following topics: sampling and randomized methods; logic, algebra and automata; database and data structures; parameterized complexity and algorithms; computational complexity; computational biology and computational geometry; approximation algorithm; graph theory and algorithms; game theory and cryptography; scheduling algorithms and circuit complexity and CSoNet.

Computational Complexity of Counting and Sampling

Author : Istvan Miklos
Publisher : CRC Press
ISBN 13 : 1351971611
Total Pages : 390 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Computational Complexity of Counting and Sampling by : Istvan Miklos

Download or read book Computational Complexity of Counting and Sampling written by Istvan Miklos and published by CRC Press. This book was released on 2019-02-21 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared toward researchers in enumerative combinatorics, discrete mathematics, and theoretical computer science. The book covers the following topics: Counting and sampling problems that are solvable in polynomial running time, including holographic algorithms; #P-complete counting problems; and approximation algorithms for counting and sampling. First, it opens with the basics, such as the theoretical computer science background and dynamic programming algorithms. Later, the book expands its scope to focus on advanced topics, like stochastic approximations of counting discrete mathematical objects and holographic algorithms. After finishing the book, readers will agree that the subject is well covered, as the book starts with the basics and gradually explores the more complex aspects of the topic. Features: Each chapter includes exercises and solutions Ideally written for researchers and scientists Covers all aspects of the topic, beginning with a solid introduction, before shifting to computational complexity’s more advanced features, with a focus on counting and sampling

Computational Complexity Theory

Author : Juris Hartmanis
Publisher : American Mathematical Soc.
ISBN 13 : 0821801317
Total Pages : 140 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Computational Complexity Theory by : Juris Hartmanis

Download or read book Computational Complexity Theory written by Juris Hartmanis and published by American Mathematical Soc.. This book was released on 1989 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational complexity theory is the study of the quantitative laws that govern computing. This book contains the proceedings of the AMS Short Course on Computational Complexity Theory, held at the Joint Mathematics Meetings in Atlanta in January 1988.

Computing and Combinatorics

Author : Donghyun Kim
Publisher : Springer Nature
ISBN 13 : 3030581500
Total Pages : 678 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Computing and Combinatorics by : Donghyun Kim

Download or read book Computing and Combinatorics written by Donghyun Kim and published by Springer Nature. This book was released on 2020-08-27 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 26th International Conference on Computing and Combinatorics, COCOON 2020, held in Atlanta, GA, USA, in August 2020. Due to the COVID-19 pandemic COCOON 2020 was organized as a fully online conference. The 54 papers presented in this volume were carefully reviewed and selected from 126 submissions. The papers cover various topics, including algorithm design, approximation algorithm, graph theory, complexity theory, problem solving, optimization, computational biology, computational learning, communication network, logic, and game theory.

Theories of Computational Complexity

Author : C. Calude
Publisher : Elsevier
ISBN 13 : 0080867758
Total Pages : 501 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Theories of Computational Complexity by : C. Calude

Download or read book Theories of Computational Complexity written by C. Calude and published by Elsevier. This book was released on 2011-08-18 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents four machine-independent theories of computational complexity, which have been chosen for their intrinsic importance and practical relevance. The book includes a wealth of results - classical, recent, and others which have not been published before.In developing the mathematics underlying the size, dynamic and structural complexity measures, various connections with mathematical logic, constructive topology, probability and programming theories are established. The facts are presented in detail. Extensive examples are provided, to help clarify notions and constructions. The lists of exercises and problems include routine exercises, interesting results, as well as some open problems.

Boolean Function Complexity

Author : Stasys Jukna
Publisher : Springer Science & Business Media
ISBN 13 : 3642245080
Total Pages : 618 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Boolean Function Complexity by : Stasys Jukna

Download or read book Boolean Function Complexity written by Stasys Jukna and published by Springer Science & Business Media. This book was released on 2012-01-06 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boolean circuit complexity is the combinatorics of computer science and involves many intriguing problems that are easy to state and explain, even for the layman. This book is a comprehensive description of basic lower bound arguments, covering many of the gems of this “complexity Waterloo” that have been discovered over the past several decades, right up to results from the last year or two. Many open problems, marked as Research Problems, are mentioned along the way. The problems are mainly of combinatorial flavor but their solutions could have great consequences in circuit complexity and computer science. The book will be of interest to graduate students and researchers in the fields of computer science and discrete mathematics.

Combinatorial Optimization

Author : Christos H. Papadimitriou
Publisher : Courier Corporation
ISBN 13 : 0486320138
Total Pages : 530 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Combinatorial Optimization by : Christos H. Papadimitriou

Download or read book Combinatorial Optimization written by Christos H. Papadimitriou and published by Courier Corporation. This book was released on 2013-04-26 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computing and Combinatorics

Author : Xiaodong Hu
Publisher : Springer
ISBN 13 : 3540697330
Total Pages : 692 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Computing and Combinatorics by : Xiaodong Hu

Download or read book Computing and Combinatorics written by Xiaodong Hu and published by Springer. This book was released on 2008-06-19 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refereed proceedings of the 14th Annual International Computing and Combinatorics Conference, COCOON 2008, held in Dalian, China, in June 2008. The 66 revised full papers presented were carefully reviewed and selected from 172 submissions. The papers are organized in topical sections on algorithms and data structures, algorithmic game theory and online algorithms, automata, languages, logic, and computability, combinatorics related to algorithms and complexity, complexity theory, cryptography, reliability and security, and database theory, computational biology and bioinformatics, computational algebra, geometry, and number theory, graph drawing and information visualization, graph theory and algorithms, communication networks, and optimization, wireless network, network optimization, and scheduling problem.

Bioinspired Computation in Combinatorial Optimization

Author : Frank Neumann
Publisher : Springer Science & Business Media
ISBN 13 : 3642165443
Total Pages : 215 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Bioinspired Computation in Combinatorial Optimization by : Frank Neumann

Download or read book Bioinspired Computation in Combinatorial Optimization written by Frank Neumann and published by Springer Science & Business Media. This book was released on 2010-11-04 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bioinspired computation methods such as evolutionary algorithms and ant colony optimization are being applied successfully to complex engineering problems and to problems from combinatorial optimization, and with this comes the requirement to more fully understand the computational complexity of these search heuristics. This is the first textbook covering the most important results achieved in this area. The authors study the computational complexity of bioinspired computation and show how runtime behavior can be analyzed in a rigorous way using some of the best-known combinatorial optimization problems -- minimum spanning trees, shortest paths, maximum matching, covering and scheduling problems. A feature of the book is the separate treatment of single- and multiobjective problems, the latter a domain where the development of the underlying theory seems to be lagging practical successes. This book will be very valuable for teaching courses on bioinspired computation and combinatorial optimization. Researchers will also benefit as the presentation of the theory covers the most important developments in the field over the last 10 years. Finally, with a focus on well-studied combinatorial optimization problems rather than toy problems, the book will also be very valuable for practitioners in this field.

Computing and Combinatorics

Author : Bin Fu
Publisher : Springer Science & Business Media
ISBN 13 : 3642226841
Total Pages : 662 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Computing and Combinatorics by : Bin Fu

Download or read book Computing and Combinatorics written by Bin Fu and published by Springer Science & Business Media. This book was released on 2011-07-18 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th Annual International Conference on Computing and Combinatorics, held in Dallas, TX, USA, in August 2011. The 54 revised full papers presented were carefully reviewed and selected from 136 submissions. Topics covered are algorithms and data structures; algorithmic game theory and online algorithms; automata, languages, logic, and computability; combinatorics related to algorithms and complexity; complexity theory; computational learning theory and knowledge discovery; cryptography, reliability and security, and database theory; computational biology and bioinformatics; computational algebra, geometry, and number theory; graph drawing and information visualization; graph theory, communication networks, and optimization; parallel and distributed computing.

Computing and Combinatorics

Author : Jie Wang
Publisher : Springer
ISBN 13 : 9783540424949
Total Pages : 606 pages
Book Rating : 4.4/5 (249 download)

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Book Synopsis Computing and Combinatorics by : Jie Wang

Download or read book Computing and Combinatorics written by Jie Wang and published by Springer. This book was released on 2001-08-03 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th Annual International Conference on Computing and Combinatorics, COCOON 2001, held in Guilin, China, in August 2001. The 50 revised full papers and 16 short papers presented were carefully reviewed and selected from 97 submissions. The papers are organized in topical sections on complexity theory, computational biology, computational geometry, data structures and algorithms, games and combinatorics, graph algorithms and complexity, graph drawing, graph theory, online algorithms, randomized and average-case algorithms, Steiner trees, systems algorithms and modeling, and computability.

Computational Complexity and Statistical Physics

Author : Allon Percus
Publisher : OUP USA
ISBN 13 : 9780195177381
Total Pages : 386 pages
Book Rating : 4.1/5 (773 download)

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Book Synopsis Computational Complexity and Statistical Physics by : Allon Percus

Download or read book Computational Complexity and Statistical Physics written by Allon Percus and published by OUP USA. This book was released on 2006-02-23 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer science and physics have been closely linked since the birth of modern computing. In recent years, an interdisciplinary area has blossomed at the junction of these fields, connecting insights from statistical physics with basic computational challenges. Researchers have successfully applied techniques from the study of phase transitions to analyze NP-complete problems such as satisfiability and graph coloring. This is leading to a new understanding of the structure of these problems, and of how algorithms perform on them. Computational Complexity and Statistical Physics will serve as a standard reference and pedagogical aid to statistical physics methods in computer science, with a particular focus on phase transitions in combinatorial problems. Addressed to a broad range of readers, the book includes substantial background material along with current research by leading computer scientists, mathematicians, and physicists. It will prepare students and researchers from all of these fields to contribute to this exciting area.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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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