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Combinatorics 86


Combinatorics 86
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Combinatorics 86


Combinatorics 86
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Author : M. Marchi
language : en
Publisher: Elsevier
Release Date : 2011-09-22

Combinatorics 86 written by M. Marchi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.


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.



Algebraic Extremal And Metric Combinatorics 1986


Algebraic Extremal And Metric Combinatorics 1986
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Author : M. Deza
language : en
Publisher: Cambridge University Press
Release Date : 1988-08-25

Algebraic Extremal And Metric Combinatorics 1986 written by M. Deza and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-08-25 with Mathematics categories.


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.



Extremal Problems For Finite Sets


Extremal Problems For Finite Sets
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Author : Peter Frankl
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-08-15

Extremal Problems For Finite Sets written by Peter Frankl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-15 with Mathematics categories.


One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study. The first half of the book provides classic results with some new proofs including a complete proof of the Ahlswede-Khachatrian theorem as well as some recent progress on the Erdos matching conjecture. The second half presents some combinatorial structural results and linear algebra methods including the Deza-Erdos-Frankl theorem, application of Rodl's packing theorem, application of semidefinite programming, and very recent progress (obtained in 2016) on the Erdos-Szemeredi sunflower conjecture and capset problem. The book concludes with a collection of challenging open problems.



Combinatorics 90


Combinatorics 90
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Author : A. Barlotti
language : en
Publisher: Elsevier
Release Date : 1992-08-17

Combinatorics 90 written by A. Barlotti and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-17 with Mathematics categories.


This volume forms a valuable source of information on recent developments in research in combinatorics, with special regard to the geometric point of view. Topics covered include: finite geometries (arcs, caps, special varieties in a Galois space; generalized quadrangles; Benz planes; foundation of geometry), partial geometries, Buekenhout geometries, transitive permutation sets, flat-transitive geometries, design theory, finite groups, near-rings and semifields, MV-algebras, coding theory, cryptography and graph theory in its geometric and design aspects.



Notes On Introductory Combinatorics


Notes On Introductory Combinatorics
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Author : George Polya
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

Notes On Introductory Combinatorics written by George Polya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Social Science categories.


In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This was a great opportunity for me, as I had known of Professor P61ya since having read his classic book, How to Solve It, as a teenager. Working with P6lya, who ·was over ninety years old at the time, was every bit as rewarding as I had hoped it would be. His creativity, intelligence, warmth and generosity of spirit, and wonderful gift for teaching continue to be an inspiration to me. Combinatorics is one of the branches of mathematics that play a crucial role in computer sCience, since digital computers manipulate discrete, finite objects. Combinatorics impinges on computing in two ways. First, the properties of graphs and other combinatorial objects lead directly to algorithms for solving graph-theoretic problems, which have widespread application in non-numerical as well as in numerical computing. Second, combinatorial methods provide many analytical tools that can be used for determining the worst-case and expected performance of computer algorithms. A knowledge of combinatorics will serve the computer scientist well. Combinatorics can be classified into three types: enumerative, eXistential, and constructive. Enumerative combinatorics deals with the counting of combinatorial objects. Existential combinatorics studies the existence or nonexistence of combinatorial configurations.



Combinatorial Species And Tree Like Structures


Combinatorial Species And Tree Like Structures
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Author : François Bergeron
language : en
Publisher: Cambridge University Press
Release Date : 1998

Combinatorial Species And Tree Like Structures written by François Bergeron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


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.



Open Problems In Algebraic Combinatorics


Open Problems In Algebraic Combinatorics
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Author : Christine Berkesch
language : en
Publisher: American Mathematical Society
Release Date : 2024-08-21

Open Problems In Algebraic Combinatorics written by Christine Berkesch and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-21 with Mathematics categories.


In their preface, the editors describe algebraic combinatorics as the area of combinatorics concerned with exact, as opposed to approximate, results and which puts emphasis on interaction with other areas of mathematics, such as algebra, topology, geometry, and physics. It is a vibrant area, which saw several major developments in recent years. The goal of the 2022 conference Open Problems in Algebraic Combinatorics 2022 was to provide a forum for exchanging promising new directions and ideas. The current volume includes contributions coming from the talks at the conference, as well as a few other contributions written specifically for this volume. The articles cover the majority of topics in algebraic combinatorics with the aim of presenting recent important research results and also important open problems and conjectures encountered in this research. The editors hope that this book will facilitate the exchange of ideas in algebraic combinatorics.



Advances In Cryptology Eurocrypt 89


Advances In Cryptology Eurocrypt 89
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Author : Jean-Jacques Quisquater
language : en
Publisher: Springer
Release Date : 2003-06-30

Advances In Cryptology Eurocrypt 89 written by Jean-Jacques Quisquater and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Computers categories.


‘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.



Advances In Cryptology Crypto 88


Advances In Cryptology Crypto 88
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Author : Shafi Goldwasser
language : en
Publisher: Springer
Release Date : 2008-10-20

Advances In Cryptology Crypto 88 written by Shafi Goldwasser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-20 with Computers categories.


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.



Integer Programming And Related Areas


Integer Programming And Related Areas
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Author : Rabe v. Randow
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Integer Programming And Related Areas written by Rabe v. Randow and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


The fields of integer programming and combinatorial optimization continue to be areas of great vitality, with an ever increasing number of publications and journals appearing. A classified bibliography thus continues to be necessary and useful today, even more so than it did when the project, of which this is the fifth volume, was started in 1970 in the Institut fur Okonometrie und Operations Research of the University of Bonn. The pioneering first volume was compiled by Claus Kastning during the years 1970 - 1975 and appeared in 1976 as Volume 128 of the series Lecture Notes in Economics and Mathematical Systems published by the Springer Verlag. Work on the project was continued by Dirk Hausmann, Reinhardt Euler, and Rabe von Randow, and resulted in the publication of the second, third, and fourth volumes in 1978, 1982, and 1985 (Volumes 160, 197, and 243 of the above series). The present book constitutes the fifth volume of the bibliography and covers the period from autumn 1984 to the end of 1987. It contains 5864 new publications by 4480 authors and was compiled by Rabe von Randow. Its form is practically identical to that of the first four volumes, some additions having been made to the subject list.