Set Systems, Hypergraphs, Families of Vectors, and Combinatorial Probability

Author: Béla Bollobás

Publisher: Cambridge University Press

ISBN: 9780521337038

Category: Mathematics

Page: 177

View: 742

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.

Extremal Combinatorics

With Applications in Computer Science

Author: Stasys Jukna

Publisher: Springer Science & Business Media

ISBN: 3662046504

Category: Computers

Page: 378

View: 4278

This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and informative proofs which may be called the gems of the theory. A wide spectrum of the most powerful combinatorial tools is presented, including methods of extremal set theory, the linear algebra method, the probabilistic method and fragments of Ramsey theory. A thorough discussion of recent applications to computer science illustrates the inherent usefulness of these methods.

Extremal Combinatorial Problems and Their Applications

Author: B.S. Stechkin,V.I. Baranov

Publisher: Springer

ISBN: 0585296022

Category: Computers

Page: 210

View: 9296

Combinatorial research has proceeded vigorously in Russia over the last few decades, based on both translated Western sources and original Russian material. The present volume extends the extremal approach to the solution of a large class of problems, including some that were hitherto regarded as exclusively algorithmic, and broadens the choice of theoretical bases for modelling real phenomena in order to solve practical problems. Audience: Graduate students of mathematics and engineering interested in the thematics of extremal problems and in the field of combinatorics in general. Can be used both as a textbook and as a reference handbook.

Boolean Functions

Cryptography and Applications

Author: Jean-Francis Michon,Pierre Valarcher,Jean-Baptiste Yunès

Publisher: Publication Univ Rouen Havre

ISBN: 9782877754224

Category: Algebra, Boolean

Page: 201

View: 3556

En mars 2006 s'est tenu à Rouen BFCA'06, le second atelier sur le thème des Fonctions Booléennes. Pendant trois jours, de nombreux chercheurs internationaux s'y sont rencontrés et y ont parlé de leurs travaux. Cet ouvrage est composé des articles associés aux différentes conférences qui s'y sont tenues.

Computer Recognition Systems

Proceedings of 4th International Conference on Computer Recognition Systems CORES'05

Author: Marek Kurzynski,Edward Puchala,Michał Woźniak,Andrzej Zolnierek

Publisher: Springer Science & Business Media

ISBN: 9783540323907

Category: Computers

Page: 903

View: 3313

th This book contains papers accepted for presentation at the 4 International Conference on Computer Recognition Systems CORES'05, May 22-25, 2005, Rydzyna Castle (Poland), This conference is a continuation of a series of con ferences on similar topics (KOSYR) organized each second year, since 1999, by the Chair of Systems and Computer Networks, Wroclaw University of Tech nology. An increasing interest to those conferences paid not only by home but also by foreign participants inspired the organizers to transform them into conferences of international range. Our expectations that the community of specialists in computer recognizing systems will find CORES'05 a proper form of maintaining the tradition of the former conferences have been confirmed by a large number of submitted papers. Alas, organizational constraints caused a necessity to narrow the acceptance criteria so that only 100 papers have been finally included into the conference program. The area covered by accepted papers is still very large and it shows how vivacious is scientific activity in the domain of computer recognition methods and systems. It contains vari ous theoretical approaches to the recognition problem based on mathematical statistics, fuzzy sets, morphological methods, wavelets, syntactic methods, genetic algorithms, artificial neural networks, ontological models, etc. Most attention is still paid to visual objects recognition; however, acoustic, tex tual and other objects are also considered. Among application areas medical problems are in majority; recognition of faces, speech signals and textual in formation processing methods being also investigated.

Introduction to Combinatorics

Author: Martin J. Erickson

Publisher: John Wiley & Sons

ISBN: 1118030893

Category: Mathematics

Page: 208

View: 9865

Lectures on Advances in Combinatorics

Author: Rudolf Ahlswede,Vladimir Blinovsky

Publisher: Springer Science & Business Media

ISBN: 9783540786023

Category: Mathematics

Page: 318

View: 2521

The lectures concentrate on highlights in Combinatorial (ChaptersII and III) and Number Theoretical (ChapterIV) Extremal Theory, in particular on the solution of famous problems which were open for many decades. However, the organization of the lectures in six chapters does neither follow the historic developments nor the connections between ideas in several cases. With the speci?ed auxiliary results in ChapterI on Probability Theory, Graph Theory, etc., all chapters can be read and taught independently of one another. In addition to the 16 lectures organized in 6 chapters of the main part of the book, there is supplementary material for most of them in the Appendix. In parti- lar, there are applications and further exercises, research problems, conjectures, and even research programs. The following books and reports [B97], [ACDKPSWZ00], [A01], and [ABCABDM06], mostly of the authors, are frequently cited in this book, especially in the Appendix, and we therefore mark them by short labels as [B], [N], [E], and [G]. We emphasize that there are also “Exercises” in [B], a “Problem Section” with contributions by several authors on pages 1063–1105 of [G], which are often of a combinatorial nature, and “Problems and Conjectures” on pages 172–173 of [E].

Handbook of the Geometry of Banach Spaces

Author: William B. Johnson,Joram Lindenstrauss

Publisher: Elsevier

ISBN: 9780444513052

Category: Mathematics

Page: 1866

View: 9871

Encouraged by new perspectives in Banach space theory, the editors present this second volume that opens with an introductory essay that explains the basics of the theory. The rest of the chapters focus on specific directions of Banach space theory or its applications.

Computing in Euclidean Geometry

Author: Dingzhu Du,Frank Hwang

Publisher: World Scientific

ISBN: 9789810209667

Category: Mathematics

Page: 385

View: 3511

This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. The topics covered are: a history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra; triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and steiner trees. Each chapter is written by a leading expert in the field and together they provide a clear and authoritative picture of what computational Euclidean geometry is and the direction in which research is going.


Author: N.A

Publisher: N.A



Page: N.A

View: 2058

Graph theory, combinatorics, and algorithms

proceedings of the Seventh Quadrennial International Conference on the Theory and Applications of Graphs

Author: N.A

Publisher: Wiley-Interscience

ISBN: 9780471304371

Category: Mathematics

Page: 1268

View: 9114

The Art of Mathematics

Coffee Time in Memphis

Author: Béla Bollobás

Publisher: Cambridge University Press

ISBN: 1139936662

Category: Mathematics

Page: N.A

View: 3444

Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stock-in-trade of mathematicians for centuries. This collection is designed to be sipped from, rather than consumed in one sitting. The questions range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest prompt readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner or an amateur mathematician, this book will delight for a lifetime.


Author: N.A

Publisher: N.A


Category: Computer engineering

Page: N.A

View: 438

Extremal Graph Theory

Author: Bela Bollobas

Publisher: Courier Corporation

ISBN: 0486317587

Category: Mathematics

Page: 512

View: 8729

The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory. Unlike most graph theory treatises, this text features complete proofs for almost all of its results. Further insights into theory are provided by the numerous exercises of varying degrees of difficulty that accompany each chapter. Although geared toward mathematicians and research students, much of Extremal Graph Theory is accessible even to undergraduate students of mathematics. Pure mathematicians will find this text a valuable resource in terms of its unusually large collection of results and proofs, and professionals in other fields with an interest in the applications of graph theory will also appreciate its precision and scope.

Congressus Numerantium

Author: N.A

Publisher: N.A


Category: Combinatorial analysis

Page: N.A

View: 1606

Algebra Colloquium

Author: N.A

Publisher: N.A


Category: Algebra

Page: N.A

View: 4615