Combinatorial And Computational Mathematics Present And Future

Author : Ki Hang Kim,Jin Ho Kwah,Fred W Roush,Sungpyo Hong
Publisher : World Scientific
Page : 286 pages
File Size : 50,7 Mb
Release : 2001-06-19
Category : Mathematics
ISBN : 9789814490689

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Combinatorial And Computational Mathematics: Present And Future by Ki Hang Kim,Jin Ho Kwah,Fred W Roush,Sungpyo Hong Pdf

This book describes and summarizes past work in important areas of combinatorics and computation, as well as gives directions for researchers working in these areas in the 21st century. It contains primarily survey papers and presents original research by Peter Fishburn, Jim Ho Kwak, Jaeun Lee, K H Kim, F W Roush and Susan Williams. The papers deal with some of the most exciting and promising developments in the areas of coding theory in relation to number theory, lattice theory and its applications, graph theory and its applications, topological techniques in combinatorics, symbolic dynamics and mathematical social science.

Author : Elena Celledoni,Giulia Di Nunno,Kurusch Ebrahimi-Fard,Hans Zanna Munthe-Kaas
Publisher : Springer
Page : 734 pages
File Size : 44,5 Mb
Release : 2019-01-13
Category : Mathematics
ISBN : 9783030015930

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Computation and Combinatorics in Dynamics, Stochastics and Control by Elena Celledoni,Giulia Di Nunno,Kurusch Ebrahimi-Fard,Hans Zanna Munthe-Kaas Pdf

The Abel Symposia volume at hand contains a collection of high-quality articles written by the world’s leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory. In recent years we have witnessed a remarkable convergence between individual mathematical disciplines that approach deterministic and stochastic dynamical systems from mathematical analysis, computational mathematics and control theoretical perspectives. Breakthrough developments in these fields now provide a common mathematical framework for attacking many different problems related to differential geometry, analysis and algorithms for stochastic and deterministic dynamics. In the Abel Symposium 2016, which took place from August 16-19 in Rosendal near Bergen, leading researchers in the fields of deterministic and stochastic differential equations, control theory, numerical analysis, algebra and random processes presented and discussed the current state of the art in these diverse fields. The current Abel Symposia volume may serve as a point of departure for exploring these related but diverse fields of research, as well as an indicator of important current and future developments in modern mathematics.

Author : Louis Kauffman,Samuel J. Lomonaco
Publisher : CRC Press
Page : 625 pages
File Size : 42,5 Mb
Release : 2007-09-19
Category : Mathematics
ISBN : 9781584889007

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Mathematics of Quantum Computation and Quantum Technology by Louis Kauffman,Samuel J. Lomonaco Pdf

Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation an

Author : Alexander Lubotzky,Dan Segal
Publisher : Birkhäuser
Page : 463 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034889650

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Subgroup Growth by Alexander Lubotzky,Dan Segal Pdf

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged. As well as determining the range of possible 'growth types', for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure. A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and Strong Approximation, algebraic and analytic number theory, probability, and p-adic model theory. Relevant aspects of such topics are explained in self-contained 'windows'.

Author : Sergei K. Lando,Alexander K. Zvonkin
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 54,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783540383611

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Graphs on Surfaces and Their Applications by Sergei K. Lando,Alexander K. Zvonkin Pdf

Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.

Author : William J. Cook,László Lovász,Jens Vygen
Publisher : Springer Science & Business Media
Page : 565 pages
File Size : 48,6 Mb
Release : 2008-11-07
Category : Mathematics
ISBN : 9783540767961

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Research Trends in Combinatorial Optimization by William J. Cook,László Lovász,Jens Vygen Pdf

The editors and authors dedicate this book to Bernhard Korte on the occasion of his seventieth birthday. We, the editors, are happy about the overwhelming feedback to our initiative to honor him with this book and with a workshop in Bonn on November 3–7,2008.Althoughthiswouldbeareasontolookback,wewouldratherliketolook forward and see what are the interesting research directions today. This book is written by leading experts in combinatorial optimization. All - pers were carefully reviewed, and eventually twenty-three of the invited papers were accepted for this book. The breadth of topics is typical for the eld: combinatorial optimization builds bridges between areas like combinatorics and graph theory, submodular functions and matroids, network ows and connectivity, approximation algorithms and mat- matical programming, computational geometry and polyhedral combinatorics. All these topics are related, and they are all addressed in this book. Combi- torial optimization is also known for its numerous applications. To limit the scope, however, this book is not primarily about applications, although some are mentioned at various places. Most papers in this volume are surveys that provide an excellent overview of an activeresearcharea,butthisbookalsocontainsmanynewresults.Highlightingmany of the currently most interesting research directions in combinatorial optimization, we hope that this book constitutes a good basis for future research in these areas.

Author : Donghyun Kim,R. N. Uma,Zhipeng Cai,Dong Hoon Lee
Publisher : Springer Nature
Page : 678 pages
File Size : 51,8 Mb
Release : 2020-08-27
Category : Computers
ISBN : 9783030581503

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Computing and Combinatorics by Donghyun Kim,R. N. Uma,Zhipeng Cai,Dong Hoon Lee Pdf

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.

Author : Sribatsa Nanda,G. P. Raja Sekhar
Publisher : Alpha Science Int'l Ltd.
Page : 268 pages
File Size : 49,9 Mb
Release : 2004
Category : Computers
ISBN : 8173195986

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Combinatorial and Computational Mathematics by Sribatsa Nanda,G. P. Raja Sekhar Pdf

Serving as a guide establishing the current state of knowledge in various areas, ranging from Formal languages to Fluid Mechanics, with articles which provide relevant applications of well-known topics such as Computational Fluid Mechanics.

Author : Anonim
Publisher : Unknown
Page : 1524 pages
File Size : 49,5 Mb
Release : 2004
Category : Mathematics
ISBN : UVA:X006180727

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Mathematical Reviews by Anonim Pdf

Author : Uwe Naumann,Olaf Schenk
Publisher : CRC Press
Page : 602 pages
File Size : 49,5 Mb
Release : 2012-01-25
Category : Computers
ISBN : 9781439827352

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Combinatorial Scientific Computing by Uwe Naumann,Olaf Schenk Pdf

Combinatorial Scientific Computing explores the latest research on creating algorithms and software tools to solve key combinatorial problems on large-scale high-performance computing architectures. It includes contributions from international researchers who are pioneers in designing software and applications for high-performance computing systems. The book offers a state-of-the-art overview of the latest research, tool development, and applications. It focuses on load balancing and parallelization on high-performance computers, large-scale optimization, algorithmic differentiation of numerical simulation code, sparse matrix software tools, and combinatorial challenges and applications in large-scale social networks. The authors unify these seemingly disparate areas through a common set of abstractions and algorithms based on combinatorics, graphs, and hypergraphs. Combinatorial algorithms have long played a crucial enabling role in scientific and engineering computations and their importance continues to grow with the demands of new applications and advanced architectures. By addressing current challenges in the field, this volume sets the stage for the accelerated development and deployment of fundamental enabling technologies in high-performance scientific computing.

Author : Michael Drmota,Philippe Flajolet,Danièle Gardy,Bernhard Gittenberger
Publisher : Birkhäuser
Page : 542 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783034879156

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Mathematics and Computer Science III by Michael Drmota,Philippe Flajolet,Danièle Gardy,Bernhard Gittenberger Pdf

Mathematics and Computer Science III contains invited and contributed papers on combinatorics, random graphs and networks, algorithms analysis and trees, branching processes, constituting the Proceedings of the Third International Colloquium on Mathematics and Computer Science, held in Vienna in September 2004. It addresses a large public in applied mathematics, discrete mathematics and computer science, including researchers, teachers, graduate students and engineers.

Author : Jonathan L. Gross
Publisher : CRC Press
Page : 664 pages
File Size : 42,6 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9781584887447

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Combinatorial Methods with Computer Applications by Jonathan L. Gross Pdf

Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the textbook in a combinat

Author : Uwe Naumann,Olaf Schenk
Publisher : CRC Press
Page : 584 pages
File Size : 53,9 Mb
Release : 2012-01-25
Category : Computers
ISBN : 9781439827369

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Combinatorial Scientific Computing by Uwe Naumann,Olaf Schenk Pdf

Combinatorial Scientific Computing explores the latest research on creating algorithms and software tools to solve key combinatorial problems on large-scale high-performance computing architectures. It includes contributions from international researchers who are pioneers in designing software and applications for high-performance computing systems

Author : William J. Cook,Andreas S. Schulz
Publisher : Springer
Page : 487 pages
File Size : 40,7 Mb
Release : 2003-08-01
Category : Computers
ISBN : 9783540478676

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Integer Programming and Combinatorial Optimization by William J. Cook,Andreas S. Schulz Pdf

This volume contains the papers selected for presentation at IPCO 2002, the NinthInternationalConferenceonIntegerProgrammingandCombinatorial- timization, Cambridge, MA (USA), May 27–29, 2002. The IPCO series of c- ferences highlights recent developments in theory, computation, and application of integer programming and combinatorial optimization. IPCO was established in 1988 when the ?rst IPCO program committee was formed. IPCO is held every year in which no International Symposium on Ma- ematical Programming (ISMP) takes places. The ISMP is triennial, so IPCO conferences are held twice in every three-year period. The eight previous IPCO conferences were held in Waterloo (Canada) 1990, Pittsburgh (USA) 1992, Erice (Italy) 1993, Copenhagen (Denmark) 1995, Vancouver (Canada) 1996, Houston (USA) 1998, Graz (Austria) 1999, and Utrecht (The Netherlands) 2001. In response to the call for papers for IPCO 2002, the program committee received 110 submissions, a record number for IPCO. The program committee met on January 7 and 8, 2002, in Aussois (France), and selected 33 papers for inclusion in the scienti?c program of IPCO 2002. The selection was based on originality and quality, and re?ects many of the current directions in integer programming and combinatorial optimization research.

Author : Jacob E. Goodman,Janos Pach,Emo Welzl
Publisher : Cambridge University Press
Page : 640 pages
File Size : 40,9 Mb
Release : 2005-08-08
Category : Computers
ISBN : 0521848628

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Combinatorial and Computational Geometry by Jacob E. Goodman,Janos Pach,Emo Welzl Pdf

This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.