Colloquio internazionale sulle teorie combinatorie, Roma, 3-15 settembre 1973 PDF Download

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Publisher:
ISBN:
Category : Combinatorial analysis
Languages : en
Pages : 542

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Author: K. T. Arasu
Publisher: Walter de Gruyter
ISBN: 3110198118
Category : Mathematics
Languages : en
Pages : 333

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Following an initiative of the late Hans Zassenhaus in 1965, the Departments of Mathematics at The Ohio State University and Denison University organize conferences in combinatorics, group theory, and ring theory. Between May 18-21, 2000, the 25th conference of this series was held. Usually, there are twenty to thirty invited 20-minute talks in each of the three main areas. However, at the 2000 meeting, the combinatorics part of the conference was extended, to honor the 65th birthday of Professor Dijen Ray-Chaudhuri. This volulme is the proceedings of this extension. Most of the papers are in coding theory and design theory, reflecting the major interest of Professor Ray-Chaudhuri, but there are articles on association schemes, algebraic graph theory, combinatorial geometry, and network flows as well. There are four surveys and seventeen research articles, and all of these went through a thorough refereeing process. The volume is primarily recommended for researchers and graduate students interested in new developments in coding theory and design theory.

Author: J. Turgeon
Publisher: Elsevier
ISBN: 0080871712
Category : Mathematics
Languages : en
Pages : 277

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Theory and Practice of Combinatorics

Author: T. P. McDonough
Publisher: Cambridge University Press
ISBN: 0521204542
Category : Mathematics
Languages : en
Pages : 213

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This volume is a record of the papers presented to the fourth British Combinatorial Conference held in Aberystwyth in July 1973. Contributors from all over the world took part and the result is a very useful and up-to-date account of what is happening in the field of combinatorics. A section of problems illustrates some of the topics in need of further investigation.

Author: Anthony Nixon
Publisher: Cambridge University Press
ISBN: 1009096222
Category : Mathematics
Languages : en
Pages : 257

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This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.

Author: Alan Jerome Hoffman
Publisher: World Scientific
ISBN: 9810241984
Category : Mathematics
Languages : en
Pages : 492

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Dr. Alan J Hoffman is a pioneer in linear programming, combinatorial optimization, and the study of graph spectra. In his principal research interests, which include the fields of linear inequalities, combinatorics, and matrix theory, he and his collaboratorics, and matrix theory, he and his collaborators have contributed fundamental concepts and theorems, amany of which bear their names. This volume of Dr. Hoffman's selected papers is divided into seven sections: geometry; combinatorics; matrix inequalities and eigenvalues; linear inequalities and linear programming; combinatorial optimization; greedy algorithms; graph spectra. Dr. Hoffman has supplied background commentary and anecdotal remarks for each of the selected papers. He has also provided autobiogrphical notes showing how he chose mathematics as his profession, and the influences and motivations which shaped his career. Contents: The Variation of the Spectrum of a Normal Matrix (with H W Wielandt); Integral Boundary Points of ConvexPolyhedra (with J Kruskal); On Moore Graphs with Diameters 2 and 3 (with R Singleton); Cycling in the Simplex Algorithm; On Approximate Solutions of Systems of Linear Inequalities; On the Polynomial of a Graph; Some Recent Applications of the Theory of Linear Inequalities of Extrenal Combinatorial Analysis; and 37 other papers. Readership: Researchers in linear programming and inequalities, combinatorics, combinatorial optimization, graph theory, matrix theory and operations research.

Author: Felix Fischer
Publisher: Cambridge University Press
ISBN: 1009490532
Category : Mathematics
Languages : en
Pages : 305

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This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.

Author: Sergey Kitaev
Publisher: Springer
ISBN: 3319258591
Category : Computers
Languages : en
Pages : 278

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This is the first comprehensive introduction to the theory of word-representable graphs, a generalization of several classical classes of graphs, and a new topic in discrete mathematics. After extensive introductory chapters that explain the context and consolidate the state of the art in this field, including a chapter on hereditary classes of graphs, the authors suggest a variety of problems and directions for further research, and they discuss interrelations of words and graphs in the literature by means other than word-representability. The book is self-contained, and is suitable for both reference and learning, with many chapters containing exercises and solutions to seleced problems. It will be valuable for researchers and graduate and advanced undergraduate students in discrete mathematics and theoretical computer science, in particular those engaged with graph theory and combinatorics, and also for specialists in algebra.

Author: Daniel Gerbner
Publisher: CRC Press
ISBN: 0429804113
Category : Mathematics
Languages : en
Pages : 292

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Book Description
Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, flag algebras, etc.) used in the different subtopics. The book focuses on the cardinality of a family of sets satisfying certain combinatorial properties. It covers recent progress in the subject of set systems and extremal combinatorics. Intended for graduate students, instructors teaching extremal combinatorics and researchers, this book serves as a sound introduction to the theory of extremal set systems. In each of the topics covered, the text introduces the basic tools used in the literature. Every chapter provides detailed proofs of the most important results and some of the most recent ones, while the proofs of some other theorems are posted as exercises with hints. Features: Presents the most basic theorems on extremal set systems Includes many proof techniques Contains recent developments The book’s contents are well suited to form the syllabus for an introductory course About the Authors: Dániel Gerbner is a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences in Budapest, Hungary. He holds a Ph.D. from Eötvös Loránd University, Hungary and has contributed to numerous publications. His research interests are in extremal combinatorics and search theory. Balázs Patkós is also a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences. He holds a Ph.D. from Central European University, Budapest and has authored several research papers. His research interests are in extremal and probabilistic combinatorics.

Author: Csaba D. Toth
Publisher: CRC Press
ISBN: 1351645919
Category : Computers
Languages : en
Pages : 2354

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Book Description
The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.