A Random Base Change Algorithm for Permutation Groups

A Random Base Change Algorithm for Permutation Groups PDF Author: Gene David Cooperman
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 24

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Book Description

A Random Base Change Algorithm for Permutation Groups

A Random Base Change Algorithm for Permutation Groups PDF Author: Gene David Cooperman
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 24

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Book Description


Groups and Computation

Groups and Computation PDF Author: Larry Finkelstein
Publisher: American Mathematical Soc.
ISBN: 9780821870587
Category : Mathematics
Languages : en
Pages : 340

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Book Description
This volume contains papers presented at the Workshop on Groups and Computation, held in October, 1991. The workshop explored interactions among four areas: symbolic algebra and computer algebra, theoretical computer science, group theory, and applications of group computation. The relationships between implementation and complexity form a recurrent theme, though the papers also discuss such topics as parallel algorithms for groups, computation in associative algebras, asymptotic behavior of permutation groups, the study of finite groups using infinite reflection groups, combinatorial searching, computing with representations, and Cayley graphs as models for interconnection networks.

Groups and Computation II

Groups and Computation II PDF Author: Larry Finkelstein, William M. Kantor
Publisher: American Mathematical Soc.
ISBN: 9780821885772
Category : Algebra
Languages : en
Pages : 404

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Book Description
The workshop "Groups and Computations" took place at the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) at Rutgers University in June 1995. This and an earlier workshop held in October 1991 was aimed at merging theory and practice within the broad area of computation with groups. The primary goal of the previous workshop was to foster a dialogue between researchers studying the computational complexity of group algorithms and those engaged in the development of practical software. It was expected that this would lead to a deeper understanding of the mathematical issues underlying group computation and that this understanding would lead, in turn, to faster algorithms. Comments and subsequent work indicated that this goal had been achieved beyond expectations. The second workshop was designed to reinforce the progress in these directions. The scientific program consisted of invited lectures and research announcements, as well as informal discussions and software demonstrations. The eight extended talks discussed randomization, permutation groups, matrix groups, software systems, fast Fourier transforms and their applications to signal processing and data analysis, computations with finitely presented groups, and implementation and complexity questions. As in the previous workshop, speakers ranged from established researchers to graduate students.

Permutation Group Algorithms

Permutation Group Algorithms PDF Author: Ákos Seress
Publisher: Cambridge University Press
ISBN: 9780521661034
Category : Mathematics
Languages : en
Pages : 292

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Table of contents

Interconnection Networks

Interconnection Networks PDF Author: J.-C. Bermond
Publisher: Elsevier
ISBN: 1483295273
Category : Mathematics
Languages : en
Pages : 590

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Book Description
Most of the articles in this book deal with static or point-to-pointInterconnection Networks. In particular, new constructions are proposed basedon different tools from discrete mathematics. Many new records have beenestablished in the table of the maximum number of vertices of graphs withmaximum degree &Dgr; and diameter D. Properties of thesenetworks (and of more classical ones) are analyzed in many of the otherpapers. About 40% of the articles deal with fault tolerance orvulnerability properties using either combinatorial tools or probabilisticones.

Handbook of Combinatorics

Handbook of Combinatorics PDF Author: R.L. Graham
Publisher: Elsevier
ISBN: 008093384X
Category : Computers
Languages : en
Pages : 2404

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Book Description
Handbook of Combinatorics

Handbook of Computational Group Theory

Handbook of Computational Group Theory PDF Author: Derek F. Holt
Publisher: CRC Press
ISBN: 1420035215
Category : Mathematics
Languages : en
Pages : 532

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Book Description
The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundame

Gröbner Bases

Gröbner Bases PDF Author: Thomas Becker
Publisher: Springer Science & Business Media
ISBN: 1461209137
Category : Mathematics
Languages : en
Pages : 587

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Book Description
The origins of the mathematics in this book date back more than two thou sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu clid. The word "algorithm" as well as the key word "algebra" in the title of this book come from the name and the work of the ninth-century scientist Mohammed ibn Musa al-Khowarizmi, who was born in what is now Uzbek istan and worked in Baghdad at the court of Harun al-Rashid's son. The word "algorithm" is actually a westernization of al-Khowarizmi's name, while "algebra" derives from "al-jabr," a term that appears in the title of his book Kitab al-jabr wa'l muqabala, where he discusses symbolic methods for the solution of equations. This close connection between algebra and al gorithms lasted roughly up to the beginning of this century; until then, the primary goal of algebra was the design of constructive methods for solving equations by means of symbolic transformations. During the second half of the nineteenth century, a new line of thought began to enter algebra from the realm of geometry, where it had been successful since Euclid's time, namely, the axiomatic method.

50 Years of Integer Programming 1958-2008

50 Years of Integer Programming 1958-2008 PDF Author: Michael Jünger
Publisher: Springer Science & Business Media
ISBN: 3540682791
Category : Mathematics
Languages : en
Pages : 804

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Book Description
In 1958, Ralph E. Gomory transformed the field of integer programming when he published a paper that described a cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In 2008, to commemorate the anniversary of this seminal paper, a special workshop celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. It contains reprints of key historical articles and written versions of survey lectures on six of the hottest topics in the field by distinguished members of the integer programming community. Useful for anyone in mathematics, computer science and operations research, this book exposes mathematical optimization, specifically integer programming and combinatorial optimization, to a broad audience.

Groups St Andrews 1997 in Bath: Volume 2

Groups St Andrews 1997 in Bath: Volume 2 PDF Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 9780521655767
Category : Mathematics
Languages : en
Pages : 374

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Book Description
This two-volume book contains selected papers from the international conference "Groups St. Andrews 1997 in Bath". The articles are arranged in roughly alphabetical order and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles contributed by other conference participants. Proceedings of earlier "Groups St. Andrews" conferences have had a major impact on the development of group theory and these volumes should be equally important.