Hypergraphs And Designs

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Hypergraphs and Designs

Author : Mario Gionfriddo
Publisher : Nova Science Publishers
ISBN 13 : 9781633219113
Total Pages : 0 pages
Book Rating : 4.2/5 (191 download)

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Book Synopsis Hypergraphs and Designs by : Mario Gionfriddo

Download or read book Hypergraphs and Designs written by Mario Gionfriddo and published by Nova Science Publishers. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial designs represent an important area of contemporary discrete mathematics closely related to such fields as finite geometries, regular graphs and multigraphs, factorisations of graphs, linear algebra, number theory, finite fields, group and quasigroup theory, Latin squares, and matroids. It has a history of more than 150 years when it started as a collection of unrelated problems. Nowadays the field is a well-developed theory with deep mathematical results and a wide range of applications in coding theory, cryptography, computer science, and other areas. In the most general setting, a combinatorial design consists of a ground set of elements and a collection of subsets of these elements satisfying some specific restrictions; the latter are often expressed in the language of graphs. On the other side, hypergraph theory is a relatively new field which started in early 60s of the last century as a generalization of graph theory. A hypergraph consists of a ground set of elements and a collection of subsets of these elements without any specific restrictions. In this sense the concept of hypergraph is more general than the concept of combinatorial design. While it started as a generalization of graph theory, hypergraph theory soon became a separate subject because many new properties have been discovered that miss or degenerate in graphs. Compared to graph theory, the language of hypergraphs not only allows us to formulate and solve more general problems, it also helps us to understand and solve several graph theory problems by simplifying and unifying many previously unrelated concepts. The main feature of this book is applying the hypergraph approach to the theory of combinatorial designs. An alternative title of it could be "Combinatorial designs as hypergraphs". There is no analogue to this book on the market. Its primary audience is researchers and graduate students taking courses in design theory, combinatorial geometry, finite geometry, discrete mathematics, graph theory, combinatorics, cryptography, information and coding theory, and similar areas. The aim of this book is to show the connection and mutual benefit between hypergraph theory and design theory. It does not intend to give a survey of all important results or methods in any of these subjects.

Hypergraphs

Author : C. Berge
Publisher : Elsevier
ISBN 13 : 0080880231
Total Pages : 267 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Hypergraphs by : C. Berge

Download or read book Hypergraphs written by C. Berge and published by Elsevier. This book was released on 1984-05-01 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory has proved to be an extremely useful tool for solving combinatorial problems in such diverse areas as Geometry, Algebra, Number Theory, Topology, Operations Research and Optimization. It is natural to attempt to generalise the concept of a graph, in order to attack additional combinatorial problems. The idea of looking at a family of sets from this standpoint took shape around 1960. In regarding each set as a ``generalised edge'' and in calling the family itself a ``hypergraph'', the initial idea was to try to extend certain classical results of Graph Theory such as the theorems of Turán and König. It was noticed that this generalisation often led to simplification; moreover, one single statement, sometimes remarkably simple, could unify several theorems on graphs. This book presents what seems to be the most significant work on hypergraphs.

Coloring Mixed Hypergraphs: Theory, Algorithms and Applications

Author : Vitaly Ivanovich Voloshin
Publisher : American Mathematical Soc.
ISBN 13 : 0821828126
Total Pages : 199 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Coloring Mixed Hypergraphs: Theory, Algorithms and Applications by : Vitaly Ivanovich Voloshin

Download or read book Coloring Mixed Hypergraphs: Theory, Algorithms and Applications written by Vitaly Ivanovich Voloshin and published by American Mathematical Soc.. This book was released on 2002 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of graph coloring has existed for more than 150 years. Historically, graph coloring involved finding the minimum number of colors to be assigned to the vertices so that adjacent vertices would have different colors. From this modest beginning, the theory has become central in discrete mathematics with many contemporary generalizations and applications. Generalization of graph coloring-type problems to mixed hypergraphs brings many new dimensions to the theory ofcolorings. A main feature of this book is that in the case of hypergraphs, there exist problems on both the minimum and the maximum number of colors. This feature pervades the theory, methods, algorithms, and applications of mixed hypergraph coloring. The book has broad appeal. It will be of interest to bothpure and applied mathematicians, particularly those in the areas of discrete mathematics, combinatorial optimization, operations research, computer science, software engineering, molecular biology, and related businesses and industries. It also makes a nice supplementary text for courses in graph theory and discrete mathematics. This is especially useful for students in combinatorics and optimization. Since the area is new, students will have the chance at this stage to obtain results that maybecome classic in the future.

Fuzzy Graphs and Fuzzy Hypergraphs

Author : John N. Mordeson
Publisher : Physica
ISBN 13 : 3790818542
Total Pages : 256 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Fuzzy Graphs and Fuzzy Hypergraphs by : John N. Mordeson

Download or read book Fuzzy Graphs and Fuzzy Hypergraphs written by John N. Mordeson and published by Physica. This book was released on 2012-11-08 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the course of fuzzy technological development, fuzzy graph theory was identified quite early on for its importance in making things work. Two very important and useful concepts are those of granularity and of nonlinear ap proximations. The concept of granularity has evolved as a cornerstone of Lotfi A.Zadeh's theory of perception, while the concept of nonlinear approx imation is the driving force behind the success of the consumer electronics products manufacturing. It is fair to say fuzzy graph theory paved the way for engineers to build many rule-based expert systems. In the open literature, there are many papers written on the subject of fuzzy graph theory. However, there are relatively books available on the very same topic. Professors' Mordeson and Nair have made a real contribution in putting together a very com prehensive book on fuzzy graphs and fuzzy hypergraphs. In particular, the discussion on hypergraphs certainly is an innovative idea. For an experienced engineer who has spent a great deal of time in the lab oratory, it is usually a good idea to revisit the theory. Professors Mordeson and Nair have created such a volume which enables engineers and design ers to benefit from referencing in one place. In addition, this volume is a testament to the numerous contributions Professor John N. Mordeson and his associates have made to the mathematical studies in so many different topics of fuzzy mathematics.

Graphs and Hypergraphs

Author : Claude Berge
Publisher :
ISBN 13 :
Total Pages : 550 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Graphs and Hypergraphs by : Claude Berge

Download or read book Graphs and Hypergraphs written by Claude Berge and published by . This book was released on 1973 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Graph and Hypergraph Theory

Author : Vitaly Ivanovich Voloshin
Publisher :
ISBN 13 : 9781606923726
Total Pages : 287 pages
Book Rating : 4.9/5 (237 download)

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Book Synopsis Introduction to Graph and Hypergraph Theory by : Vitaly Ivanovich Voloshin

Download or read book Introduction to Graph and Hypergraph Theory written by Vitaly Ivanovich Voloshin and published by . This book was released on 2009 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for math and computer science majors, for students and representatives of many other disciplines (like bioinformatics, for example) taking courses in graph theory, discrete mathematics, data structures, algorithms. It is also for anyone who wants to understand the basics of graph theory, or just is curious. No previous knowledge in graph theory or any other significant mathematics is required. The very basic facts from set theory, proof techniques and algorithms are sufficient to understand it; but even those are explained in the text. Structurally, the text is divided into two parts where Part II is the generalisation of Part I. The first part discusses the key concepts of graph theory with emphasis on trees, bipartite graphs, cycles, chordal graphs, planar graphs and graph colouring. The second part considers generalisations of Part I and discusses hypertrees, bipartite hypergraphs, hypercycles, chordal hypergraphs, planar hypergraphs and hypergraph colouring. There is an interaction between the parts and within the parts to show how ideas of generalisations work. The main point is to exhibit the ways of generalisations and interactions of mathematical concepts from the very simple to the most advanced. One of the features of this text is the duality of hypergraphs. This fundamental concept is missing in graph theory (and in its introductory teaching) because dual graphs are not properly graphs, they are hypergraphs. However, as Part II shows, the duality is a very powerful tool in understanding, simplifying and unifying many combinatorial relations; it is basically a look at the same structure from the opposite (vertices versus edges) point of view.

The Existence of Designs via Iterative Absorption: Hypergraph $F$-Designs for Arbitrary $F$

Author : Stefan Glock
Publisher : American Mathematical Society
ISBN 13 : 1470460246
Total Pages : 144 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Existence of Designs via Iterative Absorption: Hypergraph $F$-Designs for Arbitrary $F$ by : Stefan Glock

Download or read book The Existence of Designs via Iterative Absorption: Hypergraph $F$-Designs for Arbitrary $F$ written by Stefan Glock and published by American Mathematical Society. This book was released on 2023-04-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Hypergraph Theory

Author : Alain Bretto
Publisher : Springer Science & Business Media
ISBN 13 : 3319000802
Total Pages : 119 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Hypergraph Theory by : Alain Bretto

Download or read book Hypergraph Theory written by Alain Bretto and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to hypergraphs, its aim being to overcome the lack of recent manuscripts on this theory. In the literature hypergraphs have many other names such as set systems and families of sets. This work presents the theory of hypergraphs in its most original aspects, while also introducing and assessing the latest concepts on hypergraphs. The variety of topics, their originality and novelty are intended to help readers better understand the hypergraphs in all their diversity in order to perceive their value and power as mathematical tools. This book will be a great asset to upper-level undergraduate and graduate students in computer science and mathematics. It has been the subject of an annual Master's course for many years, making it also ideally suited to Master's students in computer science, mathematics, bioinformatics, engineering, chemistry, and many other fields. It will also benefit scientists, engineers and anyone else who wants to understand hypergraphs theory.

Combinatorics

Author : Béla Bollobás
Publisher : Cambridge University Press
ISBN 13 : 9780521337038
Total Pages : 196 pages
Book Rating : 4.3/5 (37 download)

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Book Synopsis Combinatorics by : Béla Bollobás

Download or read book Combinatorics written by Béla Bollobás and published by Cambridge University Press. This book was released on 1986-07-31 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modeling of Random and Deterministic Phenomena

Author : Solym Mawaki Manou-Abi
Publisher : John Wiley & Sons
ISBN 13 : 1786304546
Total Pages : 308 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Mathematical Modeling of Random and Deterministic Phenomena by : Solym Mawaki Manou-Abi

Download or read book Mathematical Modeling of Random and Deterministic Phenomena written by Solym Mawaki Manou-Abi and published by John Wiley & Sons. This book was released on 2020-04-28 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights mathematical research interests that appear in real life, such as the study and modeling of random and deterministic phenomena. As such, it provides current research in mathematics, with applications in biological and environmental sciences, ecology, epidemiology and social perspectives. The chapters can be read independently of each other, with dedicated references specific to each chapter. The book is organized in two main parts. The first is devoted to some advanced mathematical problems regarding epidemic models; predictions of biomass; space-time modeling of extreme rainfall; modeling with the piecewise deterministic Markov process; optimal control problems; evolution equations in a periodic environment; and the analysis of the heat equation. The second is devoted to a modelization with interdisciplinarity in ecological, socio-economic, epistemological, demographic and social problems. Mathematical Modeling of Random and Deterministic Phenomena is aimed at expert readers, young researchers, plus graduate and advanced undergraduate students who are interested in probability, statistics, modeling and mathematical analysis.

Cooperative Design, Visualization, and Engineering

Author : Yuhua Luo
Publisher : Springer
ISBN 13 : 3319668056
Total Pages : 311 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Cooperative Design, Visualization, and Engineering by : Yuhua Luo

Download or read book Cooperative Design, Visualization, and Engineering written by Yuhua Luo and published by Springer. This book was released on 2017-09-08 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Conference on Cooperative Design, Visualization, and Engineering, CDVE 2017, held in Mallorca, Spain, in September 2017. The 31 full papers presented in this book together with 4 short papers were carefully reviewed and selected from 84 submissions. The papers cover a broad range of topics in the field of cooperative visualization; cooperative design; cooperative engineering; basic theories, methods and technologies that support CDVE; and cooperative applications.

Advanced Design and Manufacture III

Author : Dai Zhong Su
Publisher : Trans Tech Publications Ltd
ISBN 13 : 3038134899
Total Pages : 610 pages
Book Rating : 4.0/5 (381 download)

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Book Synopsis Advanced Design and Manufacture III by : Dai Zhong Su

Download or read book Advanced Design and Manufacture III written by Dai Zhong Su and published by Trans Tech Publications Ltd. This book was released on 2010-11-11 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume is indexed by Thomson Reuters CPCI-S (WoS).

7th International Conference on Practical Applications of Agents and Multi-Agent Systems (PAAMS'09)

Author : Yves Demazeau
Publisher : Springer Science & Business Media
ISBN 13 : 3642004873
Total Pages : 603 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis 7th International Conference on Practical Applications of Agents and Multi-Agent Systems (PAAMS'09) by : Yves Demazeau

Download or read book 7th International Conference on Practical Applications of Agents and Multi-Agent Systems (PAAMS'09) written by Yves Demazeau and published by Springer Science & Business Media. This book was released on 2009-03-08 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: PAAMS, the International Conference on Practical Applications of Agents and Multi-Agent Systems is an evolution of the International Workshop on Practical Applications of Agents and Multi-Agent Systems. PAAMS is an international yearly tribune to present, to discuss, and to disseminate the latest developments and the most important outcomes related to real-world applications. It provides a unique opportunity to bring multi-disciplinary experts, academics and practitioners together to exchange their experience in the development of Agents and Multi-Agent Systems. This volume presents the papers that have been accepted for the 2009 edition. These articles capture the most innovative results and this year’s trends: Assisted Cognition, E-Commerce, Grid Computing, Human Modelling, Information Systems, Knowledge Management, Agent-Based Simulation, Software Development, Transports, Trust and Security. Each paper has been reviewed by three different reviewers, from an international committee composed of 64 members from 20 different countries. From the 92 submissions received, 35 were selected for full presentation at the conference, and 26 were accepted as posters.

Man-Machine Interactions 2

Author : Tadeusz Czachorski
Publisher : Springer Science & Business Media
ISBN 13 : 3642231691
Total Pages : 447 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Man-Machine Interactions 2 by : Tadeusz Czachorski

Download or read book Man-Machine Interactions 2 written by Tadeusz Czachorski and published by Springer Science & Business Media. This book was released on 2011-08-30 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Man-machine interaction is the interdisciplinary field, focused on a human and a machine in conjunction. It is the intersection of computer science, behavioural sciences, social psychology, ergonomics, security. It encompasses study, design, implementation, and evaluation of small- and large-scale, interacting, computing, hardware and software systems dedicated for human use. Man-machine interaction builds on supportive knowledge from both sides, the machine side providing techniques, methods and technologies relevant for computer graphics, visualisation, programming environments, the human side bringing elements of communication theory, linguistics, social sciences, models of behaviour. The discipline aims to improve ways in which machines and their users interact, making hardware and software systems better adapted to user's needs, more usable, more receptive, and optimised for desired properties. This monograph is the second edition in the series, providing the reader with a selection of high-quality papers dedicated to current progress, new developments and research trends in man-machine interactions area. In particular, the topical subdivisions of this volume include human-computer interfaces, robot control and navigation systems, bio-data analysis and mining, pattern recognition for medical applications, sound, text and image processing, design and decision support, rough and fuzzy systems, crisp and fuzzy clustering, prediction and regression, algorithms and optimisation, and data management systems.

Hyperedge Replacement: Grammars and Languages

Author : Annegret Habel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540560050
Total Pages : 236 pages
Book Rating : 4.5/5 (6 download)

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Book Synopsis Hyperedge Replacement: Grammars and Languages by : Annegret Habel

Download or read book Hyperedge Replacement: Grammars and Languages written by Annegret Habel and published by Springer Science & Business Media. This book was released on 1992-12-08 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of graph grammars is theoretically attractive and well motivated byvarious applications. More than 20 years ago, the concept of graph grammars was introduced by A. Rosenfeld as a formulation of some problems in pattern recognition and image processing, as well as by H.J. Schneider as a method for data type specification. Within graph-grammar theory one maydistinguish the set-theoretical approach, the algebraic approach, and the logical approach. These approaches differ in the method in which graph replacement is described. Specific approaches, node replacement and hyperedge replacement, concern the basic units of a hypergraph, nodes and hyperedges. This monograph is mainly concerned with the hyperedge-replacement approach. Hyperedge-replacement grammars are introduced as a device for generating hypergraph languages including graph languages and string languages. The concept combines a context-free rewriting with a comparatively large generative power. The volume includes a foreword by H. Ehrig.

Transversals in Linear Uniform Hypergraphs

Author : Michael A. Henning
Publisher : Springer Nature
ISBN 13 : 3030465594
Total Pages : 231 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Transversals in Linear Uniform Hypergraphs by : Michael A. Henning

Download or read book Transversals in Linear Uniform Hypergraphs written by Michael A. Henning and published by Springer Nature. This book was released on 2020-07-28 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives the state-of-the-art on transversals in linear uniform hypergraphs. The notion of transversal is fundamental to hypergraph theory and has been studied extensively. Very few articles have discussed bounds on the transversal number for linear hypergraphs, even though these bounds are integral components in many applications. This book is one of the first to give strong non-trivial bounds on the transversal number for linear hypergraphs. The discussion may lead to further study of those problems which have not been solved completely, and may also inspire the readers to raise new questions and research directions. The book is written with two readerships in mind. The first is the graduate student who may wish to work on open problems in the area or is interested in exploring the field of transversals in hypergraphs. This exposition will go far to familiarize the student with the subject, the research techniques, and the major accomplishments in the field. The photographs included allow the reader to associate faces with several researchers who made important discoveries and contributions to the subject. The second audience is the established researcher in hypergraph theory who will benefit from having easy access to known results and latest developments in the field of transversals in linear hypergraphs.

Graph Drawing Software

Author : Michael Jünger
Publisher : Springer Science & Business Media
ISBN 13 : 3642186386
Total Pages : 378 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Graph Drawing Software by : Michael Jünger

Download or read book Graph Drawing Software written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: After an introduction to the subject area and a concise treatment of the technical foundations for the subsequent chapters, this book features 14 chapters on state-of-the-art graph drawing software systems, ranging from general "tool boxes'' to customized software for various applications. These chapters are written by leading experts: they follow a uniform scheme and can be read independently from each other. The text covers many industrial applications.