Hypergraphs And Designs
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Hypergraphs And Designs
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Author : Mario Gionfriddo
language : en
Publisher: Nova Science Publishers
Release Date : 2015
Hypergraphs And Designs written by Mario Gionfriddo and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Hypergraphs categories.
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.
The Existence Of Designs Via Iterative Absorption Hypergraph F Designs For Arbitrary F
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Author : Stefan Glock
language : en
Publisher: American Mathematical Society
Release Date : 2023-04-07
The Existence Of Designs Via Iterative Absorption Hypergraph F Designs For Arbitrary F written by Stefan Glock 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 2023-04-07 with Mathematics categories.
View the abstract.
Hypergraph Theory
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Author : Alain Bretto
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Hypergraph Theory written by Alain Bretto 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 2013-04-17 with Mathematics categories.
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
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Author : Béla Bollobás
language : en
Publisher: Cambridge University Press
Release Date : 1986-07-31
Combinatorics written by Béla Bollobás 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 1986-07-31 with Mathematics categories.
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.
Coloring Mixed Hypergraphs Theory Algorithms And Applications
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Author : Vitaly Ivanovich Voloshin
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Coloring Mixed Hypergraphs Theory Algorithms And Applications written by Vitaly Ivanovich Voloshin 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 2002 with Mathematics categories.
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.
Advanced Design And Manufacture Iii
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Author : Dai Zhong Su
language : en
Publisher: Trans Tech Publications Ltd
Release Date : 2010-11-11
Advanced Design And Manufacture Iii written by Dai Zhong Su and has been published by Trans Tech Publications Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-11 with Technology & Engineering categories.
Selected, peer reviewed papers from the 3rd International Conference on Advanced Design and Manufacture (ADM 2010), 8-10 September 2010, Nottingham, UK
Cooperative Design Visualization And Engineering
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Author : Yuhua Luo
language : en
Publisher: Springer
Release Date : 2017-09-08
Cooperative Design Visualization And Engineering written by Yuhua Luo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-08 with Computers categories.
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.
Combinatorics Graph Theory And Computing
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Author : Sarah Heuss
language : en
Publisher: Springer Nature
Release Date : 2024-11-26
Combinatorics Graph Theory And Computing written by Sarah Heuss and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-26 with Mathematics categories.
This proceedings volume compiles selected, revised papers presented at the 53rd SouthEastern International Conference on Combinatorics, Graph Theory, and Computing (SEICCGTC 2022), which took place at Florida Atlantic University in Boca Raton, USA, from March 7th to 11th, 2022. The SEICCGTC is widely regarded as a trendsetter for other conferences worldwide. Many ideas and themes initially discussed here have subsequently been explored in other conferences and symposia. Since 1970, the conference has been held annually in Baton Rouge, Louisiana, and Boca Raton, Florida. Over the years, it has grown to become the primary annual conference in its fields, playing a crucial role in disseminating results and fostering collaborative work. This volume is tailored for the community of pure and applied mathematicians in academia, industry, and government, who work in combinatorics and graph theory, as well as related areas of computer science and the intersections among these fields.
Proceedings Of The 2nd International Conference On Neural Networks And Machine Learning 2023 Icnnml 2023
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Author : Ika Hesti Agustin
language : en
Publisher: Springer Nature
Release Date : 2024-06-27
Proceedings Of The 2nd International Conference On Neural Networks And Machine Learning 2023 Icnnml 2023 written by Ika Hesti Agustin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-27 with Mathematics categories.
This is an open access book.It is with my great pleasure and honor to announce The 2nd International Conference on Neural Networks and Machine Learning which will be held from 7th – 8th November 2023 in the University of Jember, East Java, Indonesia. The selected paper will be Published in Advances in Intelligent System Research by Atlantis Press. It is the second international conference organized by CGANT Research Group, University of Jember.
Total Domination In Graphs
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Author : Michael A. Henning
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08
Total Domination In Graphs written by Michael A. Henning 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 2014-07-08 with Mathematics categories.
Total Domination in Graphs gives a clear understanding of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured include the interplay between total domination in graphs and transversals in hypergraphs, and the association with total domination in graphs and diameter-2-critical graphs. Several proofs are included in this text which enables readers to acquaint themselves with a toolbox of proof techniques and ideas with which to attack open problems in the field. This work is an excellent resource for students interested in beginning their research in this field. Additionally, established researchers will find the book valuable to have as it contains the latest developments and open problems.