Hyper Graph 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.

Hypergraph Theory

Author : Alain Bretto
Publisher : Springer Science & Business Media
ISBN 13 : 3319000802
Total Pages : 129 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 129 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.

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.

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.

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.

Hypermedia Design

Author : Sylvain Fraisse
Publisher : Springer Science & Business Media
ISBN 13 : 1447130820
Total Pages : 254 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Hypermedia Design by : Sylvain Fraisse

Download or read book Hypermedia Design written by Sylvain Fraisse and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the latest volume in the 'Workshops in Computing' series, and contains papers from the International Workshop on Hpyermedia Design, held in Montpellier, France, from 1 - 2 June 1995. The workshop aimed to provide a forum for researchers and practitioners from a variety of backgrounds to discuss the many facets of hypermedia design. Among the specific topics covered by the papers are: design methods, multimedia modelling, higher structures in hypermedia design spaces, user-interface design for hypermedia, building distributed web applications, and hyperdialogs. The resulting volume provides a comprehensive overview of the state of the art in this important field. It will be of interest to researchers, practitioners and students involved in any aspect of hypermedia design.

Formal Aspects of Component Software

Author : Luis Soares Barbosa
Publisher : Springer
ISBN 13 : 364227269X
Total Pages : 314 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Formal Aspects of Component Software by : Luis Soares Barbosa

Download or read book Formal Aspects of Component Software written by Luis Soares Barbosa and published by Springer. This book was released on 2012-01-19 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers of the 7th International Workshop on Formal Aspects of Component Software, FACS 2010, held in Guimarães, Portugal, in October 2010. The 13 full papers and 4 short papers presented together with 1 panel discussion and 2 invited talks were carefully reviewed and selected from 37 submissions. The workshop seeks to develop a better understanding on how formal methods can or should be used for component-based software development to succeed.

A Hypergraph Grammar with an Opportunistic Control Scheme Or Conceptual Design Automation with Application to Mechanism Synthesis

Download A Hypergraph Grammar with an Opportunistic Control Scheme Or Conceptual Design Automation with Application to Mechanism Synthesis PDF Online Free

Author : Ilango Shanmugavelu
Publisher :
ISBN 13 :
Total Pages : 454 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis A Hypergraph Grammar with an Opportunistic Control Scheme Or Conceptual Design Automation with Application to Mechanism Synthesis by : Ilango Shanmugavelu

Download or read book A Hypergraph Grammar with an Opportunistic Control Scheme Or Conceptual Design Automation with Application to Mechanism Synthesis written by Ilango Shanmugavelu and published by . This book was released on 1994 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Design and Manufacture III

Author : Dai Zhong Su
Publisher : Trans Tech Publications Ltd
ISBN 13 : 3038134899
Total Pages : 609 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 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected, peer reviewed papers from the 3rd International Conference on Advanced Design and Manufacture (ADM 2010), 8-10 September 2010, Nottingham, UK

Fractional Graph Theory

Author : Edward R. Scheinerman
Publisher : Courier Corporation
ISBN 13 : 0486292134
Total Pages : 242 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Fractional Graph Theory by : Edward R. Scheinerman

Download or read book Fractional Graph Theory written by Edward R. Scheinerman and published by Courier Corporation. This book was released on 2013-04-29 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and more. 1997 edition.

Graph Representation Learning

Author : William L. William L. Hamilton
Publisher : Springer Nature
ISBN 13 : 3031015886
Total Pages : 141 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Graph Representation Learning by : William L. William L. Hamilton

Download or read book Graph Representation Learning written by William L. William L. Hamilton and published by Springer Nature. This book was released on 2022-06-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph-structured data is ubiquitous throughout the natural and social sciences, from telecommunication networks to quantum chemistry. Building relational inductive biases into deep learning architectures is crucial for creating systems that can learn, reason, and generalize from this kind of data. Recent years have seen a surge in research on graph representation learning, including techniques for deep graph embeddings, generalizations of convolutional neural networks to graph-structured data, and neural message-passing approaches inspired by belief propagation. These advances in graph representation learning have led to new state-of-the-art results in numerous domains, including chemical synthesis, 3D vision, recommender systems, question answering, and social network analysis. This book provides a synthesis and overview of graph representation learning. It begins with a discussion of the goals of graph representation learning as well as key methodological foundations in graph theory and network analysis. Following this, the book introduces and reviews methods for learning node embeddings, including random-walk-based methods and applications to knowledge graphs. It then provides a technical synthesis and introduction to the highly successful graph neural network (GNN) formalism, which has become a dominant and fast-growing paradigm for deep learning with graph data. The book concludes with a synthesis of recent advancements in deep generative models for graphs—a nascent but quickly growing subset of graph representation learning.

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.

Human – Computer Systems Interaction: Backgrounds and Applications 2

Author : Zdzisław S. Hippe
Publisher : Springer Science & Business Media
ISBN 13 : 364223187X
Total Pages : 589 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Human – Computer Systems Interaction: Backgrounds and Applications 2 by : Zdzisław S. Hippe

Download or read book Human – Computer Systems Interaction: Backgrounds and Applications 2 written by Zdzisław S. Hippe and published by Springer Science & Business Media. This book was released on 2011-11-23 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main contemporary human-system interaction (H-SI) problems consist in design and/or improvement of the tools for effective exchange of information between individual humans or human groups and technical systems created for humans aiding in reaching their vital goals. This book is a second issue in a series devoted to the novel in H-SI results and contributions reached for the last years by many research groups in European and extra-European countries. The preliminary (usually shortened) versions of the chapters were presented as conference papers at the 3rd International Conference on H-SI held in Rzeszow, Poland, in 2010. A large number of valuable papers selected for publication caused a necessity to publish the book in two volumes. The given, 1st Volume consists of sections devoted to: I. Decision Supporting Systems, II. Distributed Knowledge Bases and WEB Systems and III. Impaired Persons Aiding Systems. The decision supporting systems concern various application areas, like enterprises management, healthcare, agricultural products storage, visual design, planning of sport trainings, etc. Other papers in this area are devoted to general decision supporting methods and tools. In the group of papers concerning knowledge bases and WEB-based systems are some focused on new computer networks technologies, models of malicious network traffic and selected problems of distributed networks resources organization and tagging. The concepts of a distributed virtual museum and of managing the process of intellectual capital creation in this part of the book are also presented. The last part of this volume contains a dozen of papers concerning various concepts and realizations of disabled persons aiding systems. Among them, the systems aimed at aiding visual or motion disability affected persons can be mentioned. The problems of residential infrastructure for ubiquitous health supervision and graphics- and gesture-based interactive children therapy supporting systems design in this volume are also presented.

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.

Combinatorial Designs and Applications

Author : W.D. Wallis
Publisher : CRC Press
ISBN 13 : 9780824783945
Total Pages : 268 pages
Book Rating : 4.7/5 (839 download)

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Book Synopsis Combinatorial Designs and Applications by : W.D. Wallis

Download or read book Combinatorial Designs and Applications written by W.D. Wallis and published by CRC Press. This book was released on 1990-06-28 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced reference containing 21 selected or consolidated papers presented at an international conference in April 1988 at Tunxi (now Hunangshan), China. Contains recent, previously unavailable findings of Chinese mathematicians; discusses problems, results, and proving methods of combinatorial d

Algorithm Engineering

Author : Lasse Kliemann
Publisher : Springer
ISBN 13 : 3319494872
Total Pages : 428 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Algorithm Engineering by : Lasse Kliemann

Download or read book Algorithm Engineering written by Lasse Kliemann and published by Springer. This book was released on 2016-11-10 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithm Engineering is a methodology for algorithmic research that combines theory with implementation and experimentation in order to obtain better algorithms with high practical impact. Traditionally, the study of algorithms was dominated by mathematical (worst-case) analysis. In Algorithm Engineering, algorithms are also implemented and experiments conducted in a systematic way, sometimes resembling the experimentation processes known from fields such as biology, chemistry, or physics. This helps in counteracting an otherwise growing gap between theory and practice.

Combinatorial Algorithms for Integrated Circuit Layout

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3322921069
Total Pages : 715 pages
Book Rating : 4.3/5 (229 download)

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Book Synopsis Combinatorial Algorithms for Integrated Circuit Layout by :

Download or read book Combinatorial Algorithms for Integrated Circuit Layout written by and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has brought explosive growth in the technology for manufac turing integrated circuits. Integrated circuits with several hundred thousand transistors are now commonplace. This manufacturing capability, combined with the economic benefits of large electronic systems, is forcing a revolution in the design of these systems and providing a challenge to those people in terested in integrated system design. Modern circuits are too complex for an individual to comprehend completely. Managing tremendous complexity and automating the design process have become crucial issues. Two groups are interested in dealing with complexity and in developing algorithms to automate the design process. One group is composed of practi tioners in computer-aided design (CAD) who develop computer programs to aid the circuit-design process. The second group is made up of computer scientists and mathemati'::~l\ns who are interested in the design and analysis of efficient combinatorial aJ::,orithms. These two groups have developed separate bodies of literature and, until recently, have had relatively little interaction. An obstacle to bringing these two groups together is the lack of books that discuss issues of importance to both groups in the same context. There are many instances when a familiarity with the literature of the other group would be beneficial. Some practitioners could use known theoretical results to improve their "cut and try" heuristics. In other cases, theoreticians have published impractical or highly abstracted toy formulations, thinking that the latter are important for circuit layout.