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Author: M. Marchi
Publisher: Elsevier
ISBN: 0080867774
Category : Mathematics
Languages : en
Pages : 519
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Book Description
Recent developments in all aspects of combinatorial and incidence geometry are covered in this volume, including their links with the foundations of geometry, graph theory and algebraic structures, and the applications to coding theory and computer science.Topics covered include Galois geometries, blocking sets, affine and projective planes, incidence structures and their automorphism groups. Matroids, graph theory and designs are also treated, along with weak algebraic structures such as near-rings, near-fields, quasi-groups, loops, hypergroups etc., and permutation sets and groups.The vitality of combinatorics today lies in its important interactions with computer science. The problems which arise are of a varied nature and suitable techniques to deal with them have to be devised for each situation; one of the special features of combinatorics is the often sporadic nature of solutions, stemming from its links with number theory. The branches of combinatorics are many and various, and all of them are represented in the 56 papers in this volume.
Author: M. Marchi
Publisher: Elsevier
ISBN: 0080867774
Category : Mathematics
Languages : en
Pages : 519
Get Book Here
Book Description
Recent developments in all aspects of combinatorial and incidence geometry are covered in this volume, including their links with the foundations of geometry, graph theory and algebraic structures, and the applications to coding theory and computer science.Topics covered include Galois geometries, blocking sets, affine and projective planes, incidence structures and their automorphism groups. Matroids, graph theory and designs are also treated, along with weak algebraic structures such as near-rings, near-fields, quasi-groups, loops, hypergroups etc., and permutation sets and groups.The vitality of combinatorics today lies in its important interactions with computer science. The problems which arise are of a varied nature and suitable techniques to deal with them have to be devised for each situation; one of the special features of combinatorics is the often sporadic nature of solutions, stemming from its links with number theory. The branches of combinatorics are many and various, and all of them are represented in the 56 papers in this volume.
Author: M. Deza
Publisher: Cambridge University Press
ISBN: 9780521359238
Category : Mathematics
Languages : en
Pages : 260
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Book Description
This book represents a comprehensive overview of the present state of progress in three related areas of combinatorics. It comprises selected papers from a conference held at the University of Montreal. Topics covered in the articles include association schemes, extremal problems, combinatorial geometrics and matroids, and designs. All the papers contain new results and many are extensive surveys of particular areas of research. Particularly valuable will be Ivanov's paper on recent Soviet research in these areas. Consequently this volume will be of great attraction to all researchers in combinatorics and to research students requiring a rapid introduction to some of the open problems in the subject.
Author: John Harris
Publisher: Springer Science & Business Media
ISBN: 0387797114
Category : Mathematics
Languages : en
Pages : 392
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Book Description
These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.
Author: Béla Bollobás
Publisher: Cambridge University Press
ISBN: 9780521337038
Category : Mathematics
Languages : en
Pages : 196
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Book Description
Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.
Author: Gottfried Martin
Publisher: SIU Press
ISBN: 9780809311842
Category : Mathematics
Languages : en
Pages : 240
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Book Description
This is the only work to provide a historical account of Kant's theory of arithmetic, examining in detail the theories of both his predecessors and his successors. Until his death, Martin was the editor of Kant-Studien from 1954, of the general Kant index from 1964, of the Leibniz index from 1968, and coeditor of Leibnizstudien from 1969. This background is used to its fullest as he strives to make clear the historical milieu in which Kant's mathematical contributions developed. He uses Leibniz, Wolff, and others whose work was accomplished before Kant was born as well as Lambert, Mendelssohn, and others roughly contemporary with Kant; and when a point requires it, he refers to Gauss, Grassman, Frege, Russell, and Hilbert. In her translation Wubnig has approached the original author with an abiding respect. She makes the translation flow in English while preserving as far as possible the flavor of the original. She has added many bibliographical and biographical details to ease the following up of Martin's allusions and suggestions.
Author: Uwe Naumann
Publisher: CRC Press
ISBN: 1439827354
Category : Computers
Languages : en
Pages : 602
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Book Description
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: François Bergeron
Publisher: Cambridge University Press
ISBN: 9780521573238
Category : Mathematics
Languages : en
Pages : 484
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Book Description
The combinatorial theory of species, introduced by Joyal in 1980, provides a unified understanding of the use of generating functions for both labelled and unlabelled structures and as a tool for the specification and analysis of these structures. Of particular importance is their capacity to transform recursive definitions of tree-like structures into functional or differential equations, and vice versa. The goal of this book is to present the basic elements of the theory and to give a unified account of its developments and applications. It offers a modern introduction to the use of various generating functions, with applications to graphical enumeration, Polya theory and analysis of data structures in computer science, and to other areas such as special functions, functional equations, asymptotic analysis and differential equations. This book will be a valuable reference to graduate students and researchers in combinatorics, analysis, and theoretical computer science.
Author: Shafi Goldwasser
Publisher: Springer
ISBN: 0387347992
Category : Computers
Languages : en
Pages : 589
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Book Description
The papers in this volume were presented at the CRYPTO '88 conference on theory and applications of cryptography, held in Santa Barbara, California, August 21-25, 1988. The papers were chosen for their perceived originality and often represent preliminary reports on continuing research. The main sections deal with the following topics: Zero-Knowledge, Number Theory, Pseudorandomness, Signatures, Complexity, Protocols, Security, Cryptoanalysis. As such, they will give the committed reader a unique insight into the very latest developments in the field.
Author: Jean-Jacques Quisquater
Publisher: Springer
ISBN: 3540468854
Category : Computers
Languages : en
Pages : 710
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Book Description
‘I’he int,ernational Association for Cryptologic Research (IACK) organizes two inter- tioilill coiifcrcnces every year, one in Europe and one in the United States. EUROCRI’PT ’89 was the seventh European conference and was held in Houthalen, Belgium on April 10-13, 1989. With close to 300 participants, it was perhaps the largest open conferencr on c:rypt,ogra.phy ever held. The field of cryptography is expanding not only because of the increased vulnerability of computer systems and networks to a11 increasing range of threats, but also because of t1ic ra.pid progress in cryptographic methods, that t,he readers can witness by reading the book. The present proceedings contain nearly all contributions which were presented including the talks at the rump session. The chapters correspond to the sessions at the conference. It wa5 the first time that a rump session was organized on a Eurocrypt conference. Sixteen impromptu talks were given, and the authors were invited to submit short abstracts of their presentations. Because of the special character of this session, the editors have taken the liberty to shorten some of these.
Author: C.J. Colbourn
Publisher: Elsevier
ISBN: 0080872603
Category : Mathematics
Languages : en
Pages : 483
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Book Description
Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science.This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions.The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.
